ECG Signal Compression Using Discrete Wavelet Transform

The main purpose of this study is to present a novel personal authentication approach with the electrocardiogram (ECG) signal. The electrocardiogram is a recording of the electrical activity of the heart and the recorded signals can be used for individual verification because ECG signals of one person are never the same as those of others. The discrete wavelet transform was applied for extracting features that are the wavelet coefficients derived from digitized signals sampled from one-lead ECG signal. By the proposed approach applied on 35 normal subjects and 10 arrhythmia patients, the verification rate was 100% for normal subjects and 81% for arrhythmia patients. Furthermore, the performance of the ECG verification system was evaluated by the false acceptance rate (FAR) and false rejection rate (FRR). The FAR was 0.83% and FRR was 0.86% for a database containing only 35 normal subjects. When 10 arrhythmia patients were added into the database, FAR was 12.50% and FRR was 5.11%. The experimental results demonstrated that the proposed approach worked well for normal subjects. For this reason, it can be concluded that ECG used as a biometric measure for personal identity verification is feasible.

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ECG signal denoising using discrete wavelet transform: A comparative analysis of threshold values and functions

MASKANA ◽

10.18537/mskn.09.01.10 ◽

2018 ◽

Vol 9 (1) ◽

pp. 105-114

Author(s):

Marco Gualsaquí ◽

Iván Vizcaíno ◽

Víctor Proaño ◽

Marco Flores

Keyword(s):

Wavelet Transform ◽

Comparative Analysis ◽

Discrete Wavelet Transform ◽

Signal Denoising ◽

Discrete Wavelet ◽

Ecg Signal ◽

Threshold Values

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A generalized Walsh system for arbitrary matrices

Demonstratio Mathematica ◽

10.1515/dema-2019-0006 ◽

2019 ◽

Vol 52 (1) ◽

pp. 40-55

Author(s):

Steven N. Harding ◽

Gabriel Picioroaga

Keyword(s):

Wavelet Transform ◽

Discrete Wavelet Transform ◽

Walsh System ◽

Discrete Analog ◽

Cuntz Algebra ◽

Discrete Wavelet ◽

Signal Compression ◽

Orthonormal Bases ◽

Orthogonality Conditions ◽

Cuntz Relations

Abstract In this paper we study in detail a variation of the orthonormal bases (ONB) of L2[0, 1] introduced in [Dutkay D. E., Picioroaga G., Song M. S., Orthonormal bases generated by Cuntz algebras, J. Math. Anal. Appl., 2014, 409(2), 1128-1139] by means of representations of the Cuntz algebra ON on L2[0, 1]. For N = 2 one obtains the classic Walsh system which serves as a discrete analog of the Fourier system. We prove that the generalized Walsh system does not always display periodicity, or invertibility, with respect to function multiplication. After characterizing these two properties we also show that the transform implementing the generalized Walsh system is continuous with respect to filter variation. We consider such transforms in the case when the orthogonality conditions in Cuntz relations are removed. We show that these transforms which still recover information (due to remaining parts of the Cuntz relations) are suitable to use for signal compression, similar to the discrete wavelet transform.

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