Title :
Best basis algorithm for signal enhancement
Author :
Mallat, Hamid Krim S ; Donoho, D. ; Willsky, A.S.
Author_Institution :
Courant Inst., New York, NY, USA
Abstract :
We propose a best basis algorithm for signal enhancement in white Gaussian noise. We base our search of best basis on a criterion of minimal reconstruction error of the underlying signal. We subsequently compare our simple error criterion to the Stein (1981) unbiased risk estimator, and provide a substantiating example to demonstrate its performance. A review is also given of noise removal by thresholding and of wavepacket orthonormal bases
Keywords :
Gaussian noise; error statistics; signal reconstruction; wavelet transforms; white noise; best basis algorithm; error criterion; mean square error; minimal reconstruction error; noise removal; performance; signal enhancement; thresholding; unbiased risk estimator; wavepacket orthonormal bases; white Gaussian noise; Additive white noise; Basis algorithms; Cost function; Error analysis; Filter bank; Frequency conversion; Mirrors; Random processes; Random variables; White noise;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-2431-5
DOI :
10.1109/ICASSP.1995.479860
