Title :
Comparing noise removal in the wavelet and Fourier domains
Author :
Barsanti, Robert J. ; Gilmore, Jordon
Author_Institution :
Dept. of Electr. & Comput. Eng., Citadel, Charleston, SC, USA
Abstract :
This paper compares time series decomposition in the frequency domain via the discrete Fourier transform to time series decomposition in the wavelet domain via the Wavelet transform for the purpose of signal smoothing and noise removal. The information cost of the signal is computed as a predictor of the performance of the filtering process. Simulations are conducted comparing the frequency domain filter to wavelet domain filters on a variety of signals corrupted with additive Gaussian noise.
Keywords :
AWGN; discrete Fourier transforms; frequency-domain analysis; smoothing methods; time series; wavelet transforms; Fourier domain; additive Gaussian noise; discrete Fourier transform; filtering process; frequency domain filter; information cost; noise removal; signal smoothing; signal variety; time series decomposition; wavelet domain filter; wavelet transform; Discrete Fourier transforms; Discrete wavelet transforms; Entropy; Filtering; Noise; Wavelet domain;
Conference_Titel :
System Theory (SSST), 2011 IEEE 43rd Southeastern Symposium on
Conference_Location :
Auburn, AL
Print_ISBN :
978-1-4244-9594-8
DOI :
10.1109/SSST.2011.5753799
