Optimal transform for colored noise suppression

Author

Phoong, See-May ; Lin, Yuan-Pei

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

2

fYear

2002

fDate

29 June-1 July 2002

Firstpage

939

Abstract

There has been interest in the application of filter banks and transforms to noise suppression. Recently, Akkarakaran and Vaidyanathan (2001) showed that when the noise is white, the optimal transform (not necessary unitary) for noise suppression is the Karhunen-Loeve transform (KLT). Moreover they showed that for the case of colored noise, if both the noise and signal have a common KLT, then the KLT is optimal for subband noise suppression. In this paper, we derive the optimal transform (not restricting to the class of unitary transforms) for the noise suppression problem when the signal and noise have arbitrary spectrum.

Keywords

Karhunen-Loeve transforms; Wiener filters; channel bank filters; filtering theory; random noise; signal denoising; KLT; Karhunen-Loeve transform; Wiener filtering; colored noise; filter banks; noise suppression; optimal transform; signal denoising; subband noise suppression; Additive noise; Autocorrelation; Colored noise; Contracts; Discrete wavelet transforms; Filter bank; Karhunen-Loeve transforms; Noise reduction; White noise; Wiener filter;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, Circuits and Systems and West Sino Expositions, IEEE 2002 International Conference on

Print_ISBN

0-7803-7547-5

Type

conf

DOI

10.1109/ICCCAS.2002.1178943

Filename

1178943