Abstract This paper describes a method for decomposing a signal into the sum of an oscillatory component and a transient component. The process uses a recently established Tunable Q-factor Wavelet Transform (TQWT),we advise that the oscillatory component be modeled as signal that can be sparsely denoted by a high Q-factor TQWT; similarly ,we propose that the transient component be modeled as a piecewise smooth signal that can be sparsely denoted using a low Q-factor TQWT.Since the low and high Q-factor TQWTs are having low coherence, Morphological Component Analysis (MCA) 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 application of the proposed method to Speech, EEG, and ECG signals is Included.
G. Ravi Shankar Reddy is presently working as an Associate Professor in the Department of ECE, CVR College of Engineering, and Hyderabad, India. He received the B.Tech degree from Jawaharlal Nehru Technological University, Hyderabad, India, in 2001. He received the M.Tech degree from Osmania University, Hyderabad, India, in 2004.Presently He is Pursuing the Ph.D. degree from JNTUA, Anantapur, India, under the guidance of Dr.Rameshwar Rao. His Research area is Non-Stationary Signal Processing.