Oscillatory-Plus-Transient Signal Decomposition Using TQWT and MCA  

作　　者：G. Ravi Shankar Reddy Rameshwar Rao 

机构地区：[1]Department of Electronics and Communication Engineering, CVR College of Engineering, Hyderabad 500029, India [2]Jawaharlal Nehru Technological University Hyderabad, Hyderabad 500029, India

出　　处：《Journal of Electronic Science and Technology》2019年第2期135-151,共17页电子科技学刊（英文版）

摘　　要：This paper describes a method for decomposing a signal into the sum of an oscillatory component and a transient component. The process uses the tunable Q-factor wavelet transform (TQWT): The oscillatory component is modeled as a signal that can be sparsely denoted by high Q-factor TQWT;similarly, the transient component is modeled as a piecewise smooth signal that can be sparsely denoted using low Q-factor TQWT. Since the low and high Q-factor TQWT has low coherence, the morphological component analysis (MCA) can effectively decompose the signal into oscillatory and transient components. The corresponding optimization problem of MCA is resolved by the split augmented Lagrangian shrinkage algorithm (SALSA). The applications of the proposed method to speech, electroencephalo-graph (EEG), and electrocardiograph (ECG) signals are included.This paper describes a method for decomposing a signal into the sum of an oscillatory component and a transient component.The process uses the tunable Q-factor wavelet transform(TQWT):The oscillatory component is modeled as a signal that can be sparsely denoted by high Q-factor TQWT;similarly,the transient component is modeled as a piecewise smooth signal that can be sparsely denoted using low Q-factor TQWT.Since the low and high Q-factor TQWT has low coherence,the morphological component analysis(MCA)can effectively decompose the signal into oscillatory and transient components.The corresponding optimization problem of MCA is resolved by the split augmented Lagrangian shrinkage algorithm(SALSA).The applications of the proposed method to speech,electroencephalo-graph(EEG),and electrocardiograph(ECG)signals are included.

关 键 词：Morphological COMPONENT analysis (MCA) OSCILLATORY COMPONENT split augmented LAGRANGIAN SHRINKAGE algorithm (SALSA) transient COMPONENT tunable Q-factor wavelet transform (TQWT) 

分 类 号：TN[电子电信]