ECG Denoising Based on Total Variation Denoising and Wavelets

Description

This book details a number of electrocardiogram (ECG) denoising techniques based on total variation denoising and different wavelet transforms. The transforms covered include Lifting Wavelet Transform (LWT) and the Stationary Bionic Wavelet Transform (SBWT). The book includes three chapters that are wavelets and wavelet transforms, a denoising technique based on SBWT and WATV, and an ECG denoising technique based on LWT and TVM. The book is relevant to researchers, students, and academics in signal processing and biomedical engineering. Contents About the Author Acronyms 1 Wavelets and Wavelet Transforms 1.1 Introduction 1.2 The Fourier Transform 1.3 Short-Term Fourier Transform (STFT) 1.4 The Wavelets 1.5 Continuous Wavelet Transform (CWT) 1.6 Discrete Wavelet Transform (DWT) 1.7 Wavelet Packet 1.8 Full Wavelet Packet Decomposition 1.8.1 Adaptive Wavelet Packet Systems 1.9 Conclusion References 2 A Denoising Technique Based on SBWT and WATV: Application for ECG Denoising 2.1 Introduction 2.2 The Stationary Bionic Wavelet Transform (SBWT) 2.3 The WATV-Based Denoising Method 2.3.1 Problem Formulation 2.4 The Proposed ECG Denoising Technique 2.5 Results and Discussion 2.6 Conclusion References 3 An ECG Denoising Technique Based on LWT and TVM 3.1 Introduction 3.2 The Lifting Wavelet Transform (LWT) 3.3 The Total Variation Minimization (TVM) 3.4 The ECG Denoising Technique Proposed in [19] 3.5 The 1D Double-Density Complex DWT Denoising Method [24] 3.6 The Denoising Approach Based on Non-local Means (NLM) [25, 26] 3.7 Results and Discussion 3.8 Conclusion References Index