Title :
A comparative study of spike and smooth separation from a signal using different overcomplete dictionary
Author :
Aarthy, G. ; Amitha, P.L. ; Krishnan, T. ; Pillai, G.S. ; Sowmya, V. ; Soman, K.P.
Author_Institution :
Centre For Excellence in Comput. Eng. & Networking, Amrita Vishwa Vidyapeetham, Coimbatore, India
Abstract :
Most of the natural signals are complex and are highly time varying, since they are non stationary in nature. In this paper, a comparative study for separating spikes and smooth signal components from a non-stationary signal are performed based on different overcomplete dictionaries. The experiment is evaluated using the sparse representation with different bases such as the Discrete Cosine Transform (DCT), Walsh-Hadamard, Orthogonal and Biorthogonal wavelet basis. The primary focus of this paper is to use L1 minimization for retrieving the smooth and spikes component of the signal using different overcomplete dictionary. The experimental results reveals out the dictionary that delivers a better separation without distorting temporal and spectral characteristics.
Keywords :
Hadamard transforms; discrete cosine transforms; source separation; wavelet transforms; DCT; L1 minimization; Walsh-Hadamard wavelet basis; biorthogonal wavelet basis; discrete cosine transform; natural signals; nonstationary signal; overcomplete dictionary; smooth signal separation; spike comparative study; spike separation; Dictionaries; Discrete cosine transforms; Discrete wavelet transforms; Optimization; Symmetric matrices; Vectors; Wavelet analysis; Biorthogonal basis; Discrete cosine transform; L1-Minimization; Overcomplete dictionary; Walsh-Hadamard; Wavelet basis;
Conference_Titel :
Automation, Computing, Communication, Control and Compressed Sensing (iMac4s), 2013 International Multi-Conference on
Conference_Location :
Kottayam
Print_ISBN :
978-1-4673-5089-1
DOI :
10.1109/iMac4s.2013.6526479
