Abstract

Due to the necessity of the low-power implementation of newly-developed electrocardiogram (ECG) sensors, exact ECG data reconstruction from the compressed measurements has received much attention in recent years. Our interest lies in improving the compression ratio (CR), as well as the ECG reconstruction performance of the sparse signal recovery. To this end, we propose a sparse signal reconstruction method by pruning-based tree search, which attempts to choose the globally-optimal solution by minimizing the cost function. In order to achieve low complexity for the real-time implementation, we employ a novel pruning strategy to avoid exhaustive tree search. Through the restricted isometry property (RIP)-based analysis, we show that the exact recovery condition of our approach is more relaxed than any of the existing methods. Through the simulations, we demonstrate that the proposed approach outperforms the existing sparse recovery methods for ECG reconstruction.

Highlights

  • It is well known that electrocardiogram (ECG) sensors enable effective medical diagnosis for heart problems, such as arrhythmia and myocardial infarction, in everyday life [1,2,3]

  • We demonstrate that the proposed approach outperforms the existing sparse recovery methods for Keywords: biomedical signal processing; electrocardiogram; compressed sensing; sparse signal recovery; tree pruning

  • We proposed an effective ECG reconstruction method referred to as tree pruning-based matching pursuit (TPMP)

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Summary

Introduction

It is well known that electrocardiogram (ECG) sensors enable effective medical diagnosis for heart problems, such as arrhythmia and myocardial infarction, in everyday life [1,2,3]. In this regard, implanted ECG-based pacemakers and wearable ECG monitoring devices were developed to detect critical problems in the cardiovascular system [4]. Recently-developed electrocardiogram (ECG) sensors in everyday life require stable and long time capability for developing wearable devices in ambulatory environments [5,6]. As a means of ECG signal processing implemented with low power and small data storage, one of the promising paradigms that has received much attention recently is the compressed sensing (CS)-based signal compression and reconstruction [8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24].

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