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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Physiol.</journal-id>
<journal-title>Frontiers in Physiology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Physiol.</abbrev-journal-title>
<issn pub-type="epub">1664-042X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">890139</article-id>
<article-id pub-id-type="doi">10.3389/fphys.2022.890139</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physiology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Premature Beats Rejection Strategy on Paroxysmal Atrial Fibrillation Detection</article-title>
<alt-title alt-title-type="left-running-head">Zhang et al.</alt-title>
<alt-title alt-title-type="right-running-head">Premature Beats Rejection Strategy</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Xiangyu</given-names>
</name>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Li</surname>
<given-names>Jianqing</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Cai</surname>
<given-names>Zhipeng</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Lina</given-names>
</name>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Liu</surname>
<given-names>Chengyu</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/357141/overview"/>
</contrib>
</contrib-group>
<aff>
<institution>State Key Laboratory of Bioelectronics</institution>, <institution>School of Instrument Science and Engineering</institution>, <institution>Southeast University</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/269310/overview">Jieyun Bai</ext-link>, Jinan University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1709165/overview">Zhichao Zhang</ext-link>, Deakin University, Australia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1709341/overview">Gaobo Zhang</ext-link>, Fudan University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Jianqing Li, <email>ljq@seu.edu.cn</email>; Chengyu Liu, <email>chengyu@seu.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Computational Physiology and Medicine, a section of the journal Frontiers in Physiology</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>01</day>
<month>04</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>13</volume>
<elocation-id>890139</elocation-id>
<history>
<date date-type="received">
<day>05</day>
<month>03</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>03</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Zhang, Li, Cai, Zhao and Liu.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Zhang, Li, Cai, Zhao and Liu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Paroxysmal atrial fibrillation (PAF) may related to the risk of thromboembolism and is the most common cardiac risk factor of cryptogenic stroke (CS). Due to its paroxysmal characteristics, it is usually diagnosed by continuous long-term ECG. Patients with paroxysmal atrial fibrillation usually have premature beats at the same time which is easy to be confused with the rhythm of atrial fibrillation. Therefore, in this article, we designed a screening algorithm for single premature beat, multi premature beats, bigeminy and trigeminy premature beats, according to their rhythm characteristics to reduce false detection caused by premature beats during the PAF detection process. The proposed elimination method was verified on ECG segments with different types of premature beats, and tested on long-term ECG data of PAF patients. ECG segments of different kinds of premature beats were selected from MIT Atrial Fibrillation database (MIT-AFDB), MIT-BIH Arrhythmia database (MIT-AR) and wearable ECG data from the China Physiological Signal Challenge 2021 (CPSC 2021). The proposed method can effectively eliminate single premature beat segments with 99.5% accuracy, and it also can eliminate more than 95% of ECG segments with other types of premature beats. We designed PAF-score as a new index to evaluate the accuracy of detection, and we also calculate the misjudged and missed segments to comprehensively evaluate the PAF detection algorithm. The proposed method get a PAF-score of 0.912 on MIT-AFDB. The proposed method also has the potential to implant low computing power wearable devices for real-time analysis.</p>
</abstract>
<kwd-group>
<kwd>paroxysmal atrial fibrillation</kwd>
<kwd>paroxysmal atrial fibrillation detection</kwd>
<kwd>premature beats</kwd>
<kwd>ECG</kwd>
<kwd>low complexity</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Atrial fibrillation (AF) is the most common cardiac arrhythmia in clinical practice and is associated with increased morbidity and mortality that primarily occur as a result of complications (1). AF may lead to stroke and congestive heart failure (CHF) and increase the death rate for AF patients (<xref ref-type="bibr" rid="B11">Gillis et al., 2013</xref>; <xref ref-type="bibr" rid="B23">Odutayo et al., 2016</xref>). For instance, up to a third of strokes have no known cause&#x2014;so-called embolic stroke of undetermined source (ESUS) (<xref ref-type="bibr" rid="B3">Attia et al., 2019</xref>). Many of these strokes are related to atrial fibrillation, which can be under detected due to its paroxysmal and often asymptomatic nature. Paroxysmal atrial fibrillation (PAF) may be associated with risks of stroke and thromboembolism similar to those for sustained AF, and many patients suffer significant morbidity (<xref ref-type="bibr" rid="B3">Attia et al., 2019</xref>). The hazards of Paroxysmal atrial fibrillation are large, and because their own characteristics need to perform multiple long-term electrocardiography (ECG), qualitative parity atrial fibrillation for patients. The occurrence of PAF often cannot be detected within the first 48&#xa0;h of ambulatory ECG monitoring (<xref ref-type="bibr" rid="B27">Solomon et al., 2016</xref>). Therefore, it is necessary to design an accurate paroxysmal atrial fibrillation detection algorithm and eliminate the false alarms caused by other arrhythmia to reduce the workload of doctors.</p>
<p>The ECG in AF duration has two main characteristics: 1) the absence of <italic>p</italic> waves and presence of undulating atrial activity, also known as fibrillatory waves or f waves. 2) highly irregular variation of RR intervals (<xref ref-type="bibr" rid="B6">Clifford et al., 2017</xref>; <xref ref-type="bibr" rid="B25">Platonov and Corino, 2018</xref>; <xref ref-type="bibr" rid="B13">Hayano et al., 2019</xref>). Most AF detection methods in previous literature was designed based on these two aspects. RR-intervals based classification method usually extracted features from RR intervals and use machine learning methods as classifiers, or use deep-learning based classification model and use RR interval sequences as input data directly (<xref ref-type="bibr" rid="B19">Lee et al., 2012</xref>; <xref ref-type="bibr" rid="B32">Zhou et al., 2014</xref>; <xref ref-type="bibr" rid="B30">Xiong et al., 2017</xref>; <xref ref-type="bibr" rid="B8">Dharmaprani et al., 2018</xref>; <xref ref-type="bibr" rid="B16">Kumar et al., 2018</xref>; <xref ref-type="bibr" rid="B20">Liu et al., 2018</xref>). Lake (<xref ref-type="bibr" rid="B18">Lake and Randall Moorman, 2011</xref>) verified that the coefficient of sample entropy (COSEn) of 12 RR intevals can accurately distinguish atrial fibrillation from normal ECG. Dash (<xref ref-type="bibr" rid="B7">Dash et al., 2009</xref>) calculate the randomness, variability and complexity of the RR intervals and use turning points ratio combination with the root mean square of successive RR differences and Shannon entropy to characterize AF. Faust used LSTM based deep learning model and used RR interval as input data to detect AF (<xref ref-type="bibr" rid="B9">Faust et al., 2018</xref>). Some deep-learning based methods also convert the ECG signal to a 2D representation. Xia et al. applied short-term Fourier transform (STFT) and stationary wavelet transform (SWT) to obtain the 2D matrix input suitable for deep 2D CNN models (<xref ref-type="bibr" rid="B29">Xia et al., 2018</xref>). Qayyum et al. converted ECG signals into 2D images by STFT, and used pre-trained CNN models for transfer learning (<xref ref-type="bibr" rid="B26">Qayyum et al., 2018</xref>). Lorenz plot imaging of ECG RR intervals was also used as input images to training a 2D CNN based model for AF classification (<xref ref-type="bibr" rid="B13">Hayano et al., 2019</xref>).</p>
<p>However, these method in previous literature usually divides the ECG signal into segments according to a certain length of time or certain length of RR intervlas (<xref ref-type="bibr" rid="B15">Kiranyaz et al., 2016</xref>; <xref ref-type="bibr" rid="B5">Chang et al., 2018</xref>; <xref ref-type="bibr" rid="B28">Tan et al., 2018</xref>; <xref ref-type="bibr" rid="B14">Kim and Pan, 2019</xref>; <xref ref-type="bibr" rid="B31">Yildirim et al., 2019</xref>). And then these segments are detected and classified as atrial fibrillation and non-atrial fibrillation. Most AF detection based on deep learning must require a fixed length of input data (<xref ref-type="bibr" rid="B26">Qayyum et al., 2018</xref>; <xref ref-type="bibr" rid="B29">Xia et al., 2018</xref>). Some AF detection devices are also designed to collect ECG signals for a specific length of time. Haberman (<xref ref-type="bibr" rid="B12">Haberman et al., 2015</xref>) detects atrial fibrillation by collecting a patient&#x2019;s 30-s lead I ECG waveform using an iPhone case or iPad. Brasier acquire 1&#xa0;min or 5&#xa0;min ECG recordings for AF detection by smart-phones (<xref ref-type="bibr" rid="B4">Brasier et al., 2019</xref>). All of these methods are effective in detecting patients with permanent atrial fibrillation. However, there were usually premature beats in the ECG segments of PAF patients, which may result in some non-AF segments containing premature beats being misidentified as premature beats. These methods need to be further test of their ability to accurate classify the ECG segments containing premature rhythms.</p>
<p>In this paper, we designed a screening algorithm for single premature beat, frequent premature beats, bigeminy and trigeminy premature beats, according to their rhythm characteristics to reduce false alarms caused by premature beats during the PAF detection process. And we also selected ECG segments with these different types of premature beats from MIT-BIH Arrhythmia database (<xref ref-type="bibr" rid="B22">Moody and Mark, 2001</xref>), to verify the accuracy of the designed premature beat elimination algorithm. We designed PAF-score as a new index to evaluate the accuracy of detection and test the proposed PAF screening algorithm on MIT-BIH atrial fibrillation database (<xref ref-type="bibr" rid="B21">Moody and Mark, 1983</xref>).</p>
</sec>
<sec id="s2">
<title>2 Data</title>
<sec id="s2-1">
<title>2.1 Definition of Different Premature Beats Types</title>
<p>In this paper, the proposed screening algorithm was designed for the rhythm characteristics of single premature beat, frequent premature beat, double premature beat, and triple premature beat. The definition of the four different premature beats types is as follow:<list list-type="simple">
<list-item>
<p>1) Single-PB: as shown in the sub-figure 1A of <xref ref-type="fig" rid="F1">Figure 1</xref>, there was Only one premature beat in the ECG segment;</p>
</list-item>
<list-item>
<p>2) multi-PB: as shown in the sub-figure 1B of <xref ref-type="fig" rid="F1">Figure 1</xref>, there were more than one premature beats in the ECG segment and the distribution of different premature beats is irregular;</p>
</list-item>
<list-item>
<p>3) Bigeminy: as shown in the sub-figure 1C of <xref ref-type="fig" rid="F1">Figure 1</xref>, there were normal beats and premature beats appear alternately with more than six consecutive beats;</p>
</list-item>
<list-item>
<p>4) Trigeminy: as shown in the sub-figure 1D of <xref ref-type="fig" rid="F1">Figure 1</xref>, there were two normal beats and premature beats appear alternately with more than six consecutive beats.</p>
</list-item>
</list>
</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>The definition of different premature beats types. <bold>(A)</bold> single premature beat; <bold>(B)</bold> multi premature beats; <bold>(C)</bold> Bigeminy; <bold>(D)</bold> Trigeminy.</p>
</caption>
<graphic xlink:href="fphys-13-890139-g001.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Database</title>
<sec id="s2-2-1">
<title>2.2.1 MIT-BIH Arrhythmia Database</title>
<p>The MIT-BIH Arrhythmia database (<xref ref-type="bibr" rid="B22">Moody and Mark, 2001</xref>) contains 48 half-hour excerpts of two-channel ambulatory ECG recordings, obtained from 47 subjects. The recordings were digitized at 360 samples per second per channel with 11-bit resolution over a 10&#xa0;mV range. Two or more cardiologists independently annotated each record; disagreements were resolved to obtain the computer-readable reference annotations for each beat (approximately 110,000 annotations in all) included with the database. In this work, the ECG segments with heart beats marked as premature beats in the database was selected as test data to verify the accuracy of the designed premature beat elimination algorithm((<xref ref-type="bibr" rid="B2">Asgari et al., 2015</xref>; <xref ref-type="bibr" rid="B17">Ladavich and Ghoraani, 2015</xref>; <xref ref-type="bibr" rid="B10">Garc&#xed;a et al., 2016</xref>; <xref ref-type="bibr" rid="B1">Andersen et al., 2019</xref>))</p>
<p>The heart beats which was marked as premature beat (PB) in the annotation of the database and its surrounding heart beats were extracted as ECG segments with 31 beats (30 RR). Then the extracted segments were divided into four categories: Single premature beat (single-PB), multi premature beats (multi-PB), Bigeminy and Trigeminy.</p>
<p>1) Single-PB: Only one beat in the ECG segment is marked as PB;</p>
<p>2) multi-PB: The number of heart beats marked as PB in the ECG segment is more than 2;</p>
<p>3) Bigeminy: The ECG fragment contains the sequence &#x201c;&#x2a;N&#x2a;N&#x2a;N&#x2033; or &#x201c;N&#x2a;N&#x2a;N&#x2a;&#x201d;;</p>
<p>4) Trigeminy: The ECG fragment contains the sequence &#x201c;&#x2a;NN&#x2a;NN&#x201d;, &#x201c;N&#x2a;NN&#x2a;N&#x2033; or &#x201c;NN&#x2a;NN&#x2a;&#x201c;, where &#x201c;&#x2a;&#x201d; indicates that the heartbeat is marked as PB, and the &#x201c;N&#x201d; mark means that the heartbeat is a normal heartbeat or other rhythms except PB and AF.</p>
</sec>
<sec id="s2-2-2">
<title>2.2.2 MIT-BIH Atrial Fibrillation Database</title>
<p>In this study, we selected the MIT-AFDB as database which consists of 25 long term ECG recordings of human subjects with AF (mostly paroxysmal) (<xref ref-type="bibr" rid="B21">Moody and Mark, 1983</xref>). Each recording is 10-h duration, and contains two leads of ECG signals sampled at 250&#xa0;Hz. The rhythm annotation files were prepared manually; they contain rhythm annotations of the following types, i.e., &#x201c;AFIB&#x201d; (atrial fibrillation), &#x201c;AFL&#x201d; (atrial flutter), &#x201c;J&#x201d; (AV junctional rhythm), and &#x201c;N&#x201d; (all other rhythms). In order to detect the start and end points of atrial fibrillation segments, the signals labeled as &#x201c;AFIB&#x201d; were used as the AF ECG samples and ECG signals labeled as other rhythm were referring to the non-AF ECG data. After this, these ECG recordings can be regarded as long-term ECG recordings composed of non-atrial fibrillation segments and atrial fibrillation segments connected to each other. The QRS detection method was performed on all recordings, and the detected beats were labeled to AF/non-AF according to the rhythm annotation. Thus, each segment of AF or non-AF can be composed of consecutive QRS waves of the same type, and the start and end points of each rhythm segment can be located on a certain QRS wave.</p>
</sec>
<sec id="s2-2-3">
<title>2.2.3 China Physiological Signal Challenge 2021 (CPSC 2021)</title>
<p>The ECG data of CPSC 2021 are recorded from 12-lead Holter or 3-lead wearable ECG monitoring devices. The challenge ECG data provides variable-length ECG records fragments extracted from lead I and lead II of the long-term dynamic ECGs, each sampled at 200&#xa0;Hz.</p>
</sec>
</sec>
</sec>
<sec id="s3">
<title>3 Methods</title>
<p>As shown in <xref ref-type="fig" rid="F2">Figure 2</xref>, the proposed PAF screening method is composed of three parts: pre-processing, suspicious AF segment screening, and premature beat screening method.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The flow chart of RR-interval based premature rhythms elimination method from PAF detection</p>
</caption>
<graphic xlink:href="fphys-13-890139-g002.tif"/>
</fig>
<sec id="s3-1">
<title>3.1 Pre-processing Method</title>
<p>In this study, ECG recordings were firstly remove their baseline drift through a sliding median filter. And QRS detection method was performed on the filtered ECG data. Then signal quality assessment method was utilized to remove the ECG segments with poor signal quality. The ECG segments with poor signal quality means that these ECG segments only contained noise without any ECG information. And the detected QRS locations in these bad quality were removed from the QRS sequences of the ECG recordings. Then, we fine-tune the detected QRS wave to ensure that the QRS wave is at the position of the maximum absolute value of the waveform in the neighboring area.</p>
</sec>
<sec id="s3-2">
<title>3.2 Suspicious AF Segment Screening Method</title>
<p>Threshold-based suspicious segment screening method was used to define the rhythm changes of the ECG segment. In order to assess the rhythm changes in a short period of time, we used the ratio of short-term RR interval&#x2019;s standard deviation to its average value. For each QRS wave, we use six adjacent RR intervals to evaluate it is rhythm change. And the calculation method is shown in expression (<xref ref-type="bibr" rid="B24">Ogawa et al., 2018</xref>).<disp-formula id="e1">
<mml:math id="m1">
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>d</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mfenced open="[" close="]">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>R</mml:mi>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>R</mml:mi>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mi>R</mml:mi>
<mml:mi>R</mml:mi>
<mml:mn>6</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mfenced open="[" close="]">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>R</mml:mi>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>R</mml:mi>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mi>R</mml:mi>
<mml:mi>R</mml:mi>
<mml:mn>6</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
</mml:math>
<label>(1)</label>
</disp-formula>where <italic>R</italic>
<sub>
<italic>c</italic>
</sub> refers to the rhythm change feature of the QRS. [<italic>RR</italic>1, <italic>RR</italic>2, &#x2026; , <italic>RR</italic>6] refers to the array of 6 adjacent RR intervals after each QRS.</p>
<p>When the value of <italic>R</italic>
<sub>
<italic>c</italic>
</sub> exceeds the threshold, representing the difference between these RR intervals was large. Therefore, it is considered to have large rhythm changes. QRS segments which contained few rhythm changes in a short time were regard as non-AF segments and the QRS segments which contained large rhythm changes were regard as suspected AF segments. In this step, we remove the low rhythm change parts in the detected QRS sequence and the remaining QRS fragments will be further screened.</p>
</sec>
<sec id="s3-3">
<title>3.3 Premature Beats Reject Method</title>
<p>In this step, we mainly screen for ECG segments with premature beats that were easily confused with the atrial fibrillation rhythm. The rhythm recheck contains three screening aspects: single-PB recheck, multi-PB recheck, and premature beats recheck of bigeminy or trigeminy.</p>
<sec id="s3-3-1">
<title>3.3.1 Single Premature Beat Recheck</title>
<p>The effect of single-PB on the RR interval sequence is as follows: one smaller RR interval appears in the normal RR interval sequence, followed by one larger RR interval. Therefore, its impact on rhythm changes was relatively limited. From the first appearance of the small RR interval to the last appearance of the larger RR interval, the screening window with a length of 6 RRs slides Seven times. So theoretically, a single-PB usually only affects Rhythm assessment result for 7 <italic>R</italic>
<sub>
<italic>c</italic>
</sub> values of the consecutive RR intervals. Therefore, it is easy to filter out all single-PB by verifying whether the duration of continuous rhythm changes exceeds 10 beats.</p>
<p>For ECG segments passed single-PB recheck, their RR interval sequences were clustered into three categories by K-Medoids clustering algorithm. Each RR and the ratio of its first-order difference value to the RR were used as clustering features. And fine-tune the clustering results to reduce the standard deviation of the RR intervals within each group.</p>
</sec>
<sec id="s3-3-2">
<title>3.3.2 Multi Premature Beats Recheck</title>
<p>Compared with single-PB, multi-PB have a higher probability of occurring in a short time, so the rhythm screening results will show continuous long-term large rhythm changes. However, when premature beats occur frequently, the proportion of normal heart beats is still the largest. Therefore, in order to reduce the influence of the abnormal RRs on the rhythm screening result, we selected the RR interval group with the closest mean RR interval to the median of the entire segment signal among the three categories, and then performed rhythm screening again. If the rechecked rhythm change screening result drops below the threshold, it means that the ECG segment being detected was with frequent premature beats.</p>
</sec>
<sec id="s3-3-3">
<title>3.3.3 Premature Beat Recheck of Bigeminy and Trigeminy</title>
<p>Bigeminy and trigeminy are two special premature beats rhythm. Among them, the RR interval of bigeminy usually with one alternate change of long and short RR intervals, while trigeminy usually with one alternate change of three length RR intervals: short, long and normal. Therefore, when the number of larger and smaller RR intervals is consistent and both occurs more than two times in any 6 consecutive RRs, we believe that the ECG segments was with bigeminy or trigeminy rhythm. It is worth noting that, there was only little difference between the larger RR intervals in the ECG segments of bigeminy and trigeminy, so as the smaller RR intervals. Thus, we selected the larger RR intervals group of the clustering results, and then performed rhythm screening on the selected RR intervals. Then, the bigeminy and trigeminy premature beats can be removed from the suspected AF segments.</p>
</sec>
</sec>
</sec>
<sec id="s4">
<title>4 Result</title>
<sec id="s4-1">
<title>4.1 Classification Result of ECG Segments With Premature Beats</title>
<p>The four different premature beat rhythm ECG segments were classified by the proposed elimination method, and the classify accuracy (<italic>A</italic>
<sub>
<italic>cc</italic>
</sub>), error rate (<italic>E</italic>
<sub>
<italic>r</italic>
</sub>) of the proposed method was showed in <xref ref-type="table" rid="T1">Table 1</xref>. The proposed method can eliminate 96.83% of the ECG segments with premature beat. Although the rigorous screening method resulted in 2.83% of the 3,000 test af ECG segments being erroneously eliminated, the overall accuracy of the proposed method in the 6,000 fragments also reached 97.00%. Moreover, the proposed method can eliminate ECG segments with single-PB with 99.5% accuracy.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Result of ECG segments with four different kinds of premature beats.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Type</th>
<th align="center">Total number</th>
<th align="center">Classified</th>
<th align="center">
<italic>A</italic>
<sub>
<italic>cc</italic>
</sub>(%)</th>
<th align="center">
<italic>E</italic>
<sub>
<italic>r</italic>
</sub> (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Single-PB</td>
<td align="center">1,000</td>
<td align="center">995</td>
<td align="center">99.50</td>
<td align="center">0.50</td>
</tr>
<tr>
<td align="left">Multi-PB</td>
<td align="center">1,000</td>
<td align="center">957</td>
<td align="center">95.70</td>
<td align="center">4.30</td>
</tr>
<tr>
<td align="left">Trigeminy</td>
<td align="center">500</td>
<td align="center">476</td>
<td align="center">95.20</td>
<td align="center">4.80</td>
</tr>
<tr>
<td align="left">Bigeminy</td>
<td align="center">500</td>
<td align="center">477</td>
<td align="center">95.40</td>
<td align="center">4.60</td>
</tr>
<tr>
<td align="left">AF segments</td>
<td align="center">3,000</td>
<td align="center">2,915</td>
<td align="center">97.17</td>
<td align="center">2.83</td>
</tr>
<tr>
<td align="left">total</td>
<td align="center">6,000</td>
<td align="center">5,820</td>
<td align="center">97.00</td>
<td align="center">3.00</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-2">
<title>4.2 Result of PAF Detection</title>
<p>To evaluate the PAF detection capability of the proposed method, we designed an PAF evaluation score (PAF-score) based on the annotated PAF time and the detected PAF time. We evaluate each PAF segment in the ECG records and give evalution score between 0 and 1. For each recording, its PAF-score was calculated as the average score of the annotated paf segments. As shown in <xref ref-type="fig" rid="F3">Figure 3</xref>, only the difference between the labeled PAF time and the detected PAF time less than three heart-beats, it was considered that the detection result is consistent with the annotation and get the maximum score 1. Otherwise, it is considered that there is a non-negligible difference between the detection result and the annotated PAF time. And the score of these segments was calculated by the intersection and the union of the detected PAF time and the annotated PAF time. As shown in <xref ref-type="table" rid="T2">Table 2</xref>, the proposed method get a average PAF-score 0.912 on MIT-AFDB.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The evaluation scheme of PAF detection result. L: labeled PAF duration; D: detected PAF duration; <italic>L</italic>&#x22c2;<italic>D</italic>: the intersection of L and D; <italic>L</italic>&#x22c3;<italic>D</italic>: the union of L and D; <italic>L&#x2295;D</italic>: the exclusive-OR of L and D.</p>
</caption>
<graphic xlink:href="fphys-13-890139-g003.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Result of the proposed method test on MIT-AFDB.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Patients</th>
<th align="center">Labeled PAF Segments</th>
<th align="center">DetectedSegments</th>
<th align="center">Error Segments</th>
<th align="center">Missed Segments</th>
<th align="center">Min Score</th>
<th align="center">Max Score</th>
<th align="center">Average Score</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">04,043</td>
<td align="center">82</td>
<td align="center">90</td>
<td align="center">6</td>
<td align="center">4</td>
<td align="center">0.352</td>
<td align="center">0.999</td>
<td align="center">0.856</td>
</tr>
<tr>
<td align="left">08,219</td>
<td align="center">39</td>
<td align="center">34</td>
<td align="center">2</td>
<td align="center">3</td>
<td align="center">0.531</td>
<td align="center">0.996</td>
<td align="center">0.863</td>
</tr>
<tr>
<td align="left">04,936</td>
<td align="center">36</td>
<td align="center">82</td>
<td align="center">5</td>
<td align="center">1</td>
<td align="center">0.267</td>
<td align="center">0.998</td>
<td align="center">0.832</td>
</tr>
<tr>
<td align="left">06,426</td>
<td align="center">26</td>
<td align="center">25</td>
<td align="center">0</td>
<td align="center">2</td>
<td align="center">0.673</td>
<td align="center">1</td>
<td align="center">0.904</td>
</tr>
<tr>
<td align="left">Total</td>
<td align="center">278</td>
<td align="center">356</td>
<td align="center">33</td>
<td align="center">21</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">0.912</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>This PAF-score is intended to reflect the accuracy of the algorithm for PAF segments detection. In order to comprehensively evaluate the performance of the algorithm, we have also counted the misjudgment segments and missing segments of the detection algorithm. The error segments in <xref ref-type="table" rid="T2">Table 2</xref> means that the detected segments whithout QRS which were annotated as PAF rhythm. The missed segments refer to the labeled PAF segments which was completely detected as non-af rhythm. The proposed PAF detection method get an accuracy of 96.87% on the 23 recordings of MIT-AFDB. And the sensitivity and specificity of the proposed method were 96.43 and 97.24%, respectively.</p>
</sec>
</sec>
<sec id="s5">
<title>5 Discussion</title>
<sec id="s5-1">
<title>5.1 Suspicious AF Segment Screening Method</title>
<p>In order to verify the ability of <italic>R</italic>
<sub>
<italic>c</italic>
</sub> on rejecting premature beats in atrial fibrillation detection, we selected CosEn (15), a common atrial fibrillation monitoring function, for comparative analysis. We tested the <italic>R</italic>
<sub>
<italic>c</italic>
</sub> and CosEn on the selected 3,000 ECG segments with PB and 3,000 AF segments from MIT-BIH Arrhythmia database. Since the <italic>R</italic>
<sub>
<italic>c</italic>
</sub> was calculated by 6 RR and there were 30 RR in the test segments, we used the median <italic>R</italic>
<sub>
<italic>c</italic>
</sub> value of each ECG segments. As shown in <xref ref-type="fig" rid="F4">Figure 4</xref>, the CosEn value distributions of the four types of premature beats and AF segments are approximately the same. While the distribution of <italic>R</italic>
<sub>
<italic>c</italic>
</sub> values of the four types of premature beats and AF segments was different. Therefore, compared with CosEN, the proposed <italic>R</italic>
<sub>
<italic>c</italic>
</sub> value is more conducive to eliminating false detections caused by premature beats.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The feature value distribution in ECG segments with PB and AF. <bold>(A)</bold> CosEn; <bold>(B)</bold> <italic>R</italic>
<sub>
<italic>c</italic>
</sub>.</p>
</caption>
<graphic xlink:href="fphys-13-890139-g004.tif"/>
</fig>
</sec>
<sec id="s5-2">
<title>5.2 RR-Interval Based Cluster Analysis</title>
<p>
<xref ref-type="fig" rid="F5">Figure 5</xref> shows the RR-interval-based cluster analysis results for four different rhythms. After cluster analysis, the RR interval sequences of ECG segments with multi-PB or trigeminy rhythm were divided mainly according to the numerical value of the RR interval. The mean values of the three types of RR after clustering are quite different. Although the smaller RR interval in the RR sequences of ECG segments with bigeminy were divided into to two classes, the difference between the mean value of the larger RR intervals and the other two categories is sufficiently significant. However, the AF RR intervals of 3 cluster analysis categories did not have clear classification boundaries, and the mean RR of the three categories were nearly equal. Therefore, the possibility of ECG with AF rhythms entering subsequent premature beat reject analysis steps through cluster analysis is negligible.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The RR-interval based cluster analysis result of four different rhythm. <bold>(A)</bold>: multi-PB, <bold>(B)</bold>: trigeminy, <bold>(C)</bold>: bigeminy, <bold>(D)</bold>: AF.</p>
</caption>
<graphic xlink:href="fphys-13-890139-g005.tif"/>
</fig>
</sec>
<sec id="s5-3">
<title>5.3 Premature Beat Reject Method</title>
<sec id="s5-3-1">
<title>5.3.1 Single Premature Beat Recheck</title>
<p>As shown in <xref ref-type="fig" rid="F6">Figure 6</xref>, the RR intervals and suspicious segment screening result were shown in sub-figure 6B. The blue straight line represents the threshold, and the black triangle corresponds to the result of the rhythm screen. If the rhythm screen result exceeded threshold, it is considered to be a suspected atrial fibrillation rhythm. It can be concluded that suspicious AF segments screen method indeed consider the rhythm change caused by a single-PB as suspicious AF. However, the duration of the short-term rhythm changes caused by single premature no longer than 10 beats. Thus, the proposed single-PB recheck method can accurate remove the single premature from suspect AF segments.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>The rhythm recheck result of ECG with single PVC. <bold>(A)</bold> ECG segment with single PVC beats; <bold>(B)</bold> RR intervals and suspicious segment screening result.</p>
</caption>
<graphic xlink:href="fphys-13-890139-g006.tif"/>
</fig>
</sec>
<sec id="s5-3-2">
<title>5.3.2 Multi Premature Beats Recheck</title>
<p>As shown in sub-figure 7A of <xref ref-type="fig" rid="F7">Figure 7</xref> , there are 4 PAC beats in the 29 beats. In sub-figure 7B, the ECG segment with multi-PB was classified as suspicious AF by the proposed screen method and the duration of rhythm change exceeds 10 beats. As shown in sub-figure 7C the RR intervals around median value of the RR interval sequence were reselected for rhythm screen and were marked as &#x201c;red &#x2a;&#x201d;. The rhythm screen result of the re-selected RR intervals were all below the threshold. Thus, the ECG segments with multi-PB can also be removed by the multi-PB recheck method.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>The rhythm recheck result of ECG with multi premature beats. <bold>(A)</bold> ECG segment with multi PAC beats; <bold>(B)</bold> RR intervals and suspicious segment screening result. <bold>(C)</bold> the rechecked RR intervals and suspicious segment screening result</p>
</caption>
<graphic xlink:href="fphys-13-890139-g007.tif"/>
</fig>
</sec>
<sec id="s5-3-3">
<title>5.3.3 Premature Beat Recheck of Bigeminy and Trigeminy</title>
<p>As shown in <xref ref-type="fig" rid="F8">Figure 8</xref>, the ECG segments in sub-figure 8A was ECG with trigeminy premature rhythm. The RR intervals of the ECG segments, which was shown in sub-figure 8B, marked as red and black triangles represent the rhythm scan results of each QRS. The blue line in the sub-figure 8B was the threshold of the rhythm screen method. As shown in sub-figure 8C, the red points refer to the selected larger RR intervals for further recheck while the blue points are the RR intervals with small value and were filtered. The black triangles represent the recheck rhythm screen results of the selected larger RR intervals. It can be concluded that after selecting larger RR intervals, the rechecking rhythm screen result of the trigeminy ECG has been less than the threshold value. Thus, the proposed method can reduce the influence of bigeminy and trigeminy on PAF detection.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>The rhythm recheck result of ECG with trigeminy PVC. <bold>(A)</bold> ECG segment with trigeminy PVC; <bold>(B)</bold> RR intervals and suspicious segment screening result. <bold>(C)</bold> the rechecked RR intervals and suspicious segment screening result</p>
</caption>
<graphic xlink:href="fphys-13-890139-g008.tif"/>
</fig>
</sec>
</sec>
<sec id="s5-4">
<title>5.4 PAF Rhythms Detection</title>
<p>The ECG segments with premature beats, which is common in patients with PAF, which is easy to be misjudged as AF. The proposed method is dedicated to eliminating the false alarms caused by ECG with premature beats being misjudged as AF rhythms. Compared with traditional machine learning algorithms, the proposed method does not divide the ECG signal into segments, but evaluates each heartbeat. And finally, we determine the continuous heartbeat segment for PAF. Therefore, even if the proposed method has false alarms, it will behave as a continuous ECG segment, which is convenient for doctors to recheck. The PAF-score was designed to test the overlap ratio of the detection result and the labeled PAF time. Compared with sensitivity and specificity, PAF-score scores each PAF segment, and short paf segment have the same effect on the final score with the long paf segment. As shown in <xref ref-type="table" rid="T2">Table 2</xref>, the rule-based detection method was utilized to locate the paroxysmal AF of 23 recordings from MIT-AFDB and the average PAF-score was 0.912. The PAF-score of the four recording with most PAF segments were lower than the average score. This is mainly because some of the PAF segments in these recordings only have a short duration, but the duration of detected results are longer, which is resulting in the PAF-scores of these segments lower than 0.5.</p>
<p>In addition, we also count the missed segments and misjudged segments to comprehensively evaluate the performance of PAF detection method. The total number of PAF segments detected was 356, of which 90.73% had PAF ECG. This means that the detected AF segment will increase the workload of the re-examiner by about 10%. Nevertheless, the proposed method achieved 96.43% cove rate (sensitivity) and 97.24% specificity on the 23 records of MIT-AFDB. Thus, although there were some misjudged segments, they only account for 2.76% of non-AF heartbeats. Compared with misjudged segments, the missed segments are relatively fewer, and they are all short duration PAF segments. Therefore, the detection of short duration PAF segments poses a greater challenge to the PAF detection algorithm.</p>
<p>We also test on wearable ECG recordings, and five PAF patients from CPSC 2021 were selected as test ECG recordings. However, the complex noise in the wearable ECG signal which can easily lead to QRS location errors. Therefore, the result of wearable ECG has more misjudgement, and the proposed method obtained an accuracy of 95.74% on the wearable ECG. As shown in <xref ref-type="fig" rid="F9">Figure 9</xref>, the ECG waveform with blue color was normal ECGs and the red ECG waveform were the labeled PAF ECGs. The short line with green color were detected PAF result of the proposed method while the red line was the annotated PAF time. The ECG recording, shown in <xref ref-type="fig" rid="F8">Figure 8</xref>, is one 30-min ECG recording with six PAF segments. There was only very few beats difference between detected PAF results and the labeled result, which indicated that the proposed detection method can effectively locate PAF segment. However, the decrease in accuracy also shows that the proposed method has relatively higher requirements for signal quality.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>The rhythm recheck result of wearable ECG segments in CPSC 2021</p>
</caption>
<graphic xlink:href="fphys-13-890139-g009.tif"/>
</fig>
</sec>
<sec id="s5-5">
<title>5.5 Limitation</title>
<p>Although this method shows a good performance in detecting PAF, it has certain shortcomings and needs subsequent improvement. The main defects include: 1) This method relies on the accuracy of the QRS detection algorithm. 2) This method may not be suitable for analyzing wearable ECGs with poor signal quality.</p>
</sec>
</sec>
<sec id="s6">
<title>6 Conclusion</title>
<p>The present study shows that although the proposed PAF detection method is simple, it has good performance in the PAF detection of long-term ECGs. The proposed detection method can effectively eliminate arrhythmias that are easily confused with atrial fibrillation, such as single-PB, multi-PB, premature beat recheck of bigeminy and trigeminy. The proposed model with low computational complexity, and has great potential in the low-complexity analysis of wearable ECG devices.</p>
</sec>
</body>
<back>
<sec id="s7">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>All authors listed have made a substantial, direct, and intellectual contribution to the work and approved it for publication.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This work was supported by the National Key Research and Development Program of China (2019YFE0113800), the Distinguished Young Scholars of Jiangsu Province (BK20190014), the National Natural Science Foundation of China (62171123, 81871444, 62001105, and 62071241), the Primary Research; Development Plan of Jiangsu Province (BE2017735) and Postgraduate Research &#x26;amp; Practice Innovation Program of Jiangsu Province (KYCX19_0068).</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Andersen</surname>
<given-names>R. S.</given-names>
</name>
<name>
<surname>Peimankar</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Puthusserypady</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>A Deep Learning Approach for Real-Time Detection of Atrial Fibrillation</article-title>. <source>Expert Syst. Appl.</source> <volume>115</volume>, <fpage>465</fpage>&#x2013;<lpage>473</lpage>. <pub-id pub-id-type="doi">10.1016/j.eswa.2018.08.011</pub-id> </citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Asgari</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Mehrnia</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Moussavi</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Automatic Detection Ofatrial Fibrillation Using Stationary Wavelet Transform Andsupport Vector Machine</article-title>. <source>Comput. Biol. Med.</source> <volume>60</volume>, <fpage>132</fpage>&#x2013;<lpage>142</lpage>. <pub-id pub-id-type="doi">10.1016/j.compbiomed.2015.03.005</pub-id> </citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Attia</surname>
<given-names>Z. I.</given-names>
</name>
<name>
<surname>Peter</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Lopez-Jimenez</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>An Artificial Intelligence-Enabled ECG Algorithm for the Identification of Patients with Atrial Fibrillation during Sinus Rhythm: a Retrospective Analysis of Outcome Prediction</article-title>. <source>The Lancet</source> <volume>394</volume> (<issue>10201</issue>), <fpage>861</fpage>&#x2013;<lpage>867</lpage>. <pub-id pub-id-type="doi">10.1016/s0140-6736(19)31721-0</pub-id> </citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Brasier</surname>
<given-names>No&#xe9;.</given-names>
</name>
<name>
<surname>Raichle</surname>
<given-names>C. J.</given-names>
</name>
<name>
<surname>D&#xf6;rr</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Becke</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Detection of Atrial Fibrillation with a Smartphone Camera: First Prospective, International, two-centre, Clinical Validation Study (DETECT AF PRO)</article-title>. <source>Ep Europace</source> <volume>21</volume> (<issue>1</issue>), <fpage>41</fpage>&#x2013;<lpage>47</lpage>. <pub-id pub-id-type="doi">10.1093/europace/euy176</pub-id> </citation>
</ref>
<ref id="B5">
<citation citation-type="confproc">
<person-group person-group-type="author">
<name>
<surname>Chang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Tseng</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Chao</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ko</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2018</year>). &#x201c;<article-title>AF Detection by Exploiting the Spectral and Temporal Characteristics of Ecg Signals with the Lstm Model</article-title>,&#x201d; in <conf-name>2018 Computing in Cardiology Conference (CinC)</conf-name>, <fpage>1</fpage>&#x2013;<lpage>4</lpage>. <pub-id pub-id-type="doi">10.22489/cinc.2018.266</pub-id> </citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Clifford</surname>
<given-names>G. D.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Moody</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Li-wei</surname>
<given-names>H. L.</given-names>
</name>
<name>
<surname>Silva</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Q.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>AF Classification from a Short Single lead Ecg Recording: the Physionet/computing in Cardiology challenge 2017</article-title>. <source>Comput. Cardiol. (Cinc)</source> <volume>44</volume>, <fpage>1</fpage>&#x2013;<lpage>4</lpage>. <pub-id pub-id-type="doi">10.22489/CinC.2017.065-469</pub-id> </citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dash</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Chon</surname>
<given-names>K. H.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Raeder</surname>
<given-names>E. A.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Automatic Real Time Detection of Atrial Fibrillation</article-title>. <source>Ann. Biomed. Eng.</source> <volume>37</volume> (<issue>9</issue>), <fpage>1701</fpage>&#x2013;<lpage>1709</lpage>. <pub-id pub-id-type="doi">10.1007/s10439-009-9740-z</pub-id> </citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dharmaprani</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Dykes</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>McGavigan</surname>
<given-names>A. D.</given-names>
</name>
<name>
<surname>Kuklik</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Pope</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Ganesan</surname>
<given-names>A. N.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Information Theory and Atrial Fibrillation (AF): A Review</article-title>. <source>Front. Physiol.</source> <volume>9</volume>, <fpage>957</fpage>. <pub-id pub-id-type="doi">10.3389/fphys.2018.00957</pub-id> </citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Faust</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Shenfield</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Kareem</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>San</surname>
<given-names>T. R.</given-names>
</name>
<name>
<surname>Fujita</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Acharya</surname>
<given-names>U. R.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Automated Detection of Atrial Fibrillation Using Long Short-Term Memory Network with Rr Interval Signals</article-title>. <source>Comput. Biol. Med.</source> <volume>102</volume>, <fpage>327</fpage>&#x2013;<lpage>335</lpage>. <pub-id pub-id-type="doi">10.1016/j.compbiomed.2018.07.001</pub-id> </citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Garc&#xed;a</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>R&#xf3;denas</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Alcaraz</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Application of the Relative Wavelet Energy to Heart Rate Independent Detection of Atrial Fibrillation</article-title>. <source>Computer Methods Programs Biomed.</source> <volume>131</volume>, <fpage>157</fpage>&#x2013;<lpage>168</lpage>. <pub-id pub-id-type="doi">10.1016/j.cmpb.2016.04.009</pub-id> </citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gillis</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>Krahn</surname>
<given-names>A. D.</given-names>
</name>
<name>
<surname>Skanes</surname>
<given-names>A. C.</given-names>
</name>
<name>
<surname>Nattel</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Management of Atrial Fibrillation in the Year 2033: New Concepts, Tools, and Applications Leading to Personalized Medicine</article-title>. <source>Can. J. Cardiol.</source> <volume>29</volume> (<issue>10</issue>), <fpage>1141</fpage>&#x2013;<lpage>1146</lpage>. <pub-id pub-id-type="doi">10.1016/j.cjca.2013.07.006</pub-id> </citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Haberman</surname>
<given-names>Z. C.</given-names>
</name>
<name>
<surname>Jahn</surname>
<given-names>R. T.</given-names>
</name>
<name>
<surname>Bose</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Wireless Smartphone ECG Enables Large-Scale Screening in Diverse Populations</article-title>. <source>J. Cardiovasc. Electrophysiol.</source> <volume>26</volume> (<issue>5</issue>), <fpage>520</fpage>&#x2013;<lpage>526</lpage>. <pub-id pub-id-type="doi">10.1111/jce.12634</pub-id> </citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hayano</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Kisohara</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Masuda</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yuda</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Detection of Paroxysmal Atrial Fibrillation by Lorenz Plot Imaging of Ecg Rr Intervals</article-title>. <source>Int. Forum Med. Imaging Asia</source> <volume>11050</volume>, <fpage>297</fpage>&#x2013;<lpage>301</lpage>. <pub-id pub-id-type="doi">10.1117/12.2523310</pub-id> </citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kim</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Pan</surname>
<given-names>S. B.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Deep Learning Based on 1-d Ensemble Networks Using Ecg for Real-Time User Recognition</article-title>. <source>IEEE Trans. Ind. Inform.</source> <volume>15</volume> (<issue>10</issue>), <fpage>5656</fpage>&#x2013;<lpage>5663</lpage>. <pub-id pub-id-type="doi">10.1109/tii.2019.2909730</pub-id> </citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kiranyaz</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Ince</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Gabbouj</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Real-time Patient-specific Ecg Classification by 1-D Convolutional Neural Networks</article-title>. <source>IEEE Trans. Biomed. Eng.</source> <volume>63</volume> (<issue>3</issue>), <fpage>664</fpage>&#x2013;<lpage>675</lpage>. <pub-id pub-id-type="doi">10.1109/tbme.2015.2468589</pub-id> </citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kumar</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Pachori</surname>
<given-names>R. B.</given-names>
</name>
<name>
<surname>Acharya</surname>
<given-names>U. R.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Automated Diagnosis of Atrial Fibrillation Ecg Signals Using Entropy Features Extracted from Flexible Analytic Wavelet Transform</article-title>. <source>Biocybernetics Biomed. Eng.</source> <volume>38</volume> (<issue>3</issue>), <fpage>564</fpage>&#x2013;<lpage>573</lpage>. <pub-id pub-id-type="doi">10.1016/j.bbe.2018.04.004</pub-id> </citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ladavich</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Ghoraani</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Rate-independent Detection of Atrial Fibrillation by Statistical Modeling of Atrial Activity</article-title>. <source>Biomed. Signal Process. Control.</source> <volume>18</volume>, <fpage>274</fpage>&#x2013;<lpage>281</lpage>. <pub-id pub-id-type="doi">10.1016/j.bspc.2015.01.007</pub-id> </citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lake</surname>
<given-names>D. E.</given-names>
</name>
<name>
<surname>Randall Moorman</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Accurate Estimation of Entropy in Very Short Physiological Time Series: the Problem of Atrial Fibrillation Detection in Implanted Ventricular Devices</article-title>. <source>Am. J. Physiology-Heart Circulatory Physiol.</source> <volume>300</volume> (<issue>1</issue>), <fpage>H319</fpage>&#x2013;<lpage>H325</lpage>. <pub-id pub-id-type="doi">10.1152/ajpheart.00561.2010</pub-id> </citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lee</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Reyes</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>McManus</surname>
<given-names>D. D.</given-names>
</name>
<name>
<surname>Maitas</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Chon</surname>
<given-names>K. H.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Atrial Fibrillation Detection Using an Iphone 4s</article-title>. <source>IEEE Trans. Biomed. Eng.</source> <volume>60</volume> (<issue>1</issue>), <fpage>203</fpage>&#x2013;<lpage>206</lpage>. <pub-id pub-id-type="doi">10.1109/TBME.2012.2208112</pub-id> </citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Oster</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Reinertsen</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Nemati</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>A Comparison of Entropy Approaches for AF Discrimination</article-title>. <source>Physiol. Meas.</source> <volume>39</volume> (<issue>7</issue>), <fpage>074002</fpage>. <pub-id pub-id-type="doi">10.1088/1361-6579/aacc48</pub-id> </citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moody</surname>
<given-names>G. B.</given-names>
</name>
<name>
<surname>Mark</surname>
<given-names>R. R.</given-names>
</name>
</person-group> (<year>1983</year>). <article-title>New Method for Detecting Atrial Fibrillation Using R-R Intervals</article-title>. <source>Comput. Cardiol.</source> <volume>10</volume>, <fpage>227</fpage>&#x2013;<lpage>230</lpage>. </citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moody</surname>
<given-names>G. B.</given-names>
</name>
<name>
<surname>Mark</surname>
<given-names>R. R.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>The Impact of the MIT-BIH Arrhythmia Database</article-title>. <source>IEEE Eng. Med. Biol.</source> <volume>20</volume> (<issue>3</issue>), <fpage>45</fpage>&#x2013;<lpage>50</lpage>. <pub-id pub-id-type="doi">10.1109/51.932724</pub-id> </citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Odutayo</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Wong</surname>
<given-names>C. X.</given-names>
</name>
<name>
<surname>Hsiao</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>Hopewell</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Atrial Fibrillation and Risks of Cardiovascular Disease, Renal Disease, and Death: Systematic Review and Meta-Analysis</article-title>. <source>BMJ</source> <volume>354</volume>, <fpage>4482</fpage>. <pub-id pub-id-type="doi">10.1136/bmj.i4482</pub-id> </citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ogawa</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>An</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ikeda</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Aono</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Progression from Paroxysmal to Sustained Atrial Fibrillation Is Associated with Increased Adverse Events</article-title>. <source>Stroke</source>, <volume>49</volume>(<issue>10</issue>), <fpage>2301</fpage>&#x2013;<lpage>2308</lpage>. <pub-id pub-id-type="doi">10.1161/strokeaha.118.021396</pub-id> </citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Platonov</surname>
<given-names>P. G.</given-names>
</name>
<name>
<surname>Corino</surname>
<given-names>V. D. A.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>A Clinical Perspective on Atrial Fibrillation. Atrial Fibrillation from an Engineering Perspective</article-title>. <source>Ser. BioEngineering</source>, <fpage>1</fpage>&#x2013;<lpage>24</lpage>. <pub-id pub-id-type="doi">10.1007/978-3-319-68515-1_1</pub-id> </citation>
</ref>
<ref id="B26">
<citation citation-type="confproc">
<person-group person-group-type="author">
<name>
<surname>Qayyum</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Meriaudeau</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Chan</surname>
<given-names>G. C.</given-names>
</name>
</person-group> (<year>2018</year>). &#x201c;<article-title>Classification of Atrial Fibrillation with Pre-trained Convolutional Neural Network Models</article-title>,&#x201d; in <conf-name>2018 IEEE-EMBS Conference on Biomedical Engineering and Sciences (IECBES)</conf-name> (<publisher-name>IEEE</publisher-name>), <fpage>594</fpage>&#x2013;<lpage>599</lpage>. <pub-id pub-id-type="doi">10.1109/iecbes.2018.8626624</pub-id> </citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Solomon</surname>
<given-names>M. D.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Sung</surname>
<given-names>S. H.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Incidence and Timing of Potentially High-Risk Arrhythmias Detected through Long Term Continuous Ambulatory Electrocardiographic Monitoring</article-title>. <source>BMC Cardiovasc. Disord.</source> <volume>16</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>7</lpage>. <pub-id pub-id-type="doi">10.1186/s12872-016-0210-x</pub-id> </citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tan</surname>
<given-names>J. H.</given-names>
</name>
<name>
<surname>Hagiwara</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Pang</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Lim</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Oh</surname>
<given-names>S. L.</given-names>
</name>
<name>
<surname>Adam</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Application of Stacked Convolutional and Long Short-Term Memory Network for Accurate Identification of Cad Ecg Signals</article-title>. <source>Comput. Biol. Med.</source> <volume>94</volume>, <fpage>19</fpage>&#x2013;<lpage>26</lpage>. <pub-id pub-id-type="doi">10.1016/j.compbiomed.2017.12.023</pub-id> </citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xia</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wulan</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Detecting Atrial Fibrillation by Deep Convolutional Neural Networks</article-title>. <source>Comput. Biol. Med.</source> <volume>93</volume>, <fpage>84</fpage>&#x2013;<lpage>92</lpage>. <pub-id pub-id-type="doi">10.1016/j.compbiomed.2017.12.007</pub-id> </citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xiong</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Faes</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Ivanov</surname>
<given-names>P. C.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Entropy Measures, Entropy Estimators, and Their Performance in Quantifying Complex Dynamics: Effects of Artifacts, Nonstationarity, and Long-Range Correlations</article-title>. <source>Phys. Rev. E</source> <volume>95</volume> (<issue>6</issue>), <fpage>062114</fpage>. <pub-id pub-id-type="doi">10.1103/PhysRevE.95.062114</pub-id> </citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yildirim</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Baloglu</surname>
<given-names>U. B.</given-names>
</name>
<name>
<surname>Tan</surname>
<given-names>R. S.</given-names>
</name>
<name>
<surname>Ciaccio</surname>
<given-names>E. J.</given-names>
</name>
<name>
<surname>Acharya</surname>
<given-names>U. R.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>A New Approach for Arrhythmia Classification Using Deep Coded Features and Lstm Networks</article-title>. <source>Computer Methods Programs Biomed.</source> <volume>176</volume>, <fpage>121</fpage>&#x2013;<lpage>133</lpage>. <pub-id pub-id-type="doi">10.1016/j.cmpb.2019.05.004</pub-id> </citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhou</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Ding</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ung</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Pickwell-MacPherson</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Automatic Online Detection of Atrial Fibrillation Based on Symbolic Dynamics and shannon Entropy</article-title>. <source>Biomed. Eng. Online</source> <volume>13</volume> (<issue>1</issue>), <fpage>18</fpage>. <pub-id pub-id-type="doi">10.1186/1475-925x-13-18</pub-id> </citation>
</ref>
</ref-list>
</back>
</article>