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ECG data compression using truncated singular value decomposition

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TLDR
The results showed that truncated SVD method can provide an efficient coding with high-compression ratios and demonstrated the method as an effective technique for ECG data storage or signals transmission.
Abstract
The method of truncated singular value decomposition (SVD) is proposed for electrocardiogram (ECG) data compression. The signal decomposition capability of SVD is exploited to extract the significant feature components of the ECG by decomposing the ECG into a set of basic patterns with associated scaling factors. The signal information is mostly concentrated within a certain number of singular values with related singular vectors due to the strong interbeat correlation among ECG cycles. Therefore, only the relevant parts of the singular triplets need to be retained as the compressed data for retrieving the original signals. The insignificant overhead can be truncated to eliminate the redundancy of ECG data compression. The Massachusetts Institute of Technology-Beth Israel Hospital arrhythmia database was applied to evaluate the compression performance and recoverability in the retrieved ECG signals. The approximate achievement was presented with an average data rate of 143.2 b/s with a relatively low reconstructed error. These results showed that the truncated SVD method can provide efficient coding with high-compression ratios. The computational efficiency of the SVD method in comparing with other techniques demonstrated the method as an effective technique for ECG data storage or signals transmission.

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Citations
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A compressed-sensing-based compressor for ECG.

TL;DR: This work used sparsity of the ECG signal and proposed a system based on compressed sensing (CS) that can compress ECG samples, almost in real-time, without using any external processor or any training algorithm.
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A Novel Heart Rate Robust Method for Short-Term Electrocardiogram Biometric Identification

TL;DR: A novel method suitable for short-term ECG signal identification using an improved HR-free resampling strategy is proposed to minimize the influence of HR variability during heartbeat processing and can achieve high subject identification accuracy on ECG signals with only five heartbeats.
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TL;DR: In this paper, a novel signal compression algorithm based on the Blaschke unwinding adaptive Fourier decomposition (AFD) was proposed for electrocardiogram signal.
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A hybrid ECG compression algorithm based on singular value decomposition and discrete wavelet transform.

TL;DR: A compression technique for ECG signals using the singular value decomposition (SVD) combined with discrete wavelet transform (DWT) with better performance is presented.
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Electrocardiogram signal compression using singular coefficient truncation and wavelet coefficient coding

TL;DR: In this study, an inter- and intra-beat correlation-based compression technique for electrocardiogram (ECG) signal is proposed using singular coefficient truncation, based on singular value decomposition (SVD) and adaptive scanning wavelet difference reduction technique.
References
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Matrix computations

Gene H. Golub
Journal ArticleDOI

ECG data compression techniques-a unified approach

TL;DR: The theoretical bases behind the direct ECG data compression schemes are presented and classified into three categories: tolerance-comparison compression, DPCM, and entropy coding methods and a framework for evaluation and comparison of ECG compression schemes is presented.
Journal ArticleDOI

Wavelet compression of ECG signals by the set partitioning in hierarchical trees algorithm

TL;DR: A wavelet electrocardiogram (ECG) data codec based on the set partitioning in hierarchical trees (SPIHT) compression algorithm is proposed and is significantly more efficient in compression and in computation than previously proposed ECG compression schemes.
Journal ArticleDOI

Wavelet and wavelet packet compression of electrocardiograms

TL;DR: Pilot data from a blind evaluation of compressed ECG's by cardiologists suggest that the clinically useful information present in original ECG signals is preserved by 8:1 compression, and in most cases 16:1 compressed ECGs are clinically useful.
Journal ArticleDOI

AZTEC, a Preprocessing Program for Real-Time ECG Rhythm Analysis

TL;DR: A preprocessing program developed for real-time monitoring of the electrocardiogram by digital computer has proved useful for rhythm analysis.
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