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Statistical Complexity Measureanalysis of ECG Signal Based on LMCD and JSD

Author: XuHuan
Tutor: WangJun
School: Nanjing University of Posts and Telecommunications
Course: Signal and Information Processing
Keywords: Statistical complexity LMCD JSD Congestive Heart Failure Sudden cardiac death
CLC: TN911.6
Type: Master's thesis
Year: 2012
Downloads: 16
Quote: 0
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Abstract


Statistical complexity as an important indicator to describe the sequence of random nature, plays an increasingly important role in the research and analysis of the time series and the sequence of symbols. In this paper, two different statistical complexity analysis method to conduct comparative analysis and study of the the two arrhythmias signal with normal sinus rhythm signal. First, the basics of the ECG and the statistics of the time series complexity theory, from the point of view of the arrhythmia ECG, computational analysis of the complexity of normal sinus rhythm signals as well as two typical arrhythmia signal statistics . Secondly, the introduction of two different kinds of differences (divergence) in the form: of the Lopez-Mancini-Calbet Divergence (, LMCD) and Jensen-Shannon Divergence (JSD), both of which can be used to measure the difference between the probability distribution. LMCD difference defined in Euclidean space, and entropy density LMCD statistical complexity simplest form, it is difficult to reflect the structure information and the random nature of dynamical systems. JSD does not require that the probability distribution of the continuity constraints, more importantly, there exists a close contact between the Specifications JSD and changes in distance, not only based on the the JSD statistical complexity can reflect the structure information and the details of the sequence, and can be a good quantify the sequence of random characteristics. Finally, the complexity analysis methods based on the statistics of LMCD and JSD, congestive heart failure signals, sudden cardiac death signal with normal sinus rhythm signal statistical complexity analysis. Bandt-Pompe algorithm symbol sequence mode probability statistics, were taken for the three ECG signal of 1000 points (7 cycles), 5000 (36 cycles) and 10000 (72 cycle) to calculate the statistical complexity, and the results projected onto a the complexity - entropy plane (CH plane). The results have shown that the three rhythm signal STATS complexity differences, the projection area is different from the normal sinus rhythm signal STATS complexity highest, followed by congestive heart failure signal, cardiac sudden death signal minimum, and with the experimental points ( cycle number) is increased, the projection point and the projection area of ??difference between the three increasingly apparent, increasing the discrimination. Variance analysis showed that the statistical complexity of the three ECG signal derived based on the analysis method of LMCD and JSD having a significant difference, and the analysis method based on the the JSD statistical complexity better, a greater degree of distinction.

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