Title :
Simplified algorithm of signal recovery by wavelet transform maxima and its application
Author :
Dai, W.S. ; Yan, W.Y. ; Feng, X.L. ; Wu, X.T.
Author_Institution :
Dept. of Electron. & Electr. Eng., Shanghai Second Polytech. Univ., China
Abstract :
In this paper, an iterative projection operator for signal recovery by WT maxima is proposed. It is analytically constructed by using the principle of contraction mapping and based on the method of projections onto convex sets (POCS) in Hilbert space. This note presents a Lagrange interpolation method for de-noising noisy data in the wavelet domain, based on the frequency character of the wavelet transform to reconstruct low scale wavelet transform maxima. The effectiveness of the method is verified with practical speech signal de-noising and enhancement
Keywords :
Hilbert spaces; acoustic noise; interpolation; iterative methods; signal reconstruction; speech enhancement; wavelet transforms; Hilbert space; Lagrange interpolation method; POCS; WT maxima; contraction mapping; iterative projection operator; noisy data; projections onto convex sets; signal recovery; speech signal de-noising; speech signal enhancement; wavelet transform maxima; Frequency; Hilbert space; Interpolation; Iterative algorithms; Lagrangian functions; Noise reduction; Signal denoising; Speech enhancement; Wavelet domain; Wavelet transforms;
Conference_Titel :
Signal Processing Proceedings, 1998. ICSP '98. 1998 Fourth International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-4325-5
DOI :
10.1109/ICOSP.1998.770206
