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

fYear

1998

fDate

1998

Firstpage

279

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing Proceedings, 1998. ICSP '98. 1998 Fourth International Conference on

Conference_Location

Beijing

Print_ISBN

0-7803-4325-5

Type

conf

DOI

10.1109/ICOSP.1998.770206

Filename

770206