Design of M-band optimal orthonormal wavelet of compact support for signal de-noising by using the principle of complexity regularization

Author

Das, A. ; Desai, U.B. ; Vaidya, P.P.

Author_Institution

Electron. Div., Bhabha Atomic Res. Centre, Calcutta, India

Volume

1

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

445

Abstract

A two stage algorithm is presented in this paper to design optimal M-band orthonormal wavelets of compact support for signal de-noising. A cost function d(.,.), suitable for the signal de-noising, is minimized to select the optimal basis. A parameterized representation of wavelet bases is used to constrain the values and reduce the number of independent parameters with the freedom of choice of basis. The complexity regularization criterion is used to broaden the search range for the optimal wavelet basis. Simulation results are presented to illustrate the efficacy of the proposed scheme

Keywords

computational complexity; signal restoration; wavelet transforms; M-band optimal orthonormal wavelet; compact support; complexity regularization; cost function minimization; parameterization; signal de-noising; two stage algorithm; Algorithm design and analysis; Cost function; Data mining; Finite impulse response filter; Gaussian noise; Libraries; Search methods; Signal denoising; Signal design; Wavelet coefficients;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics, Circuits and Systems, 2001. ICECS 2001. The 8th IEEE International Conference on

Print_ISBN

0-7803-7057-0

Type

conf

DOI

10.1109/ICECS.2001.957775

Filename

957775