Wavelet transform based optimal receivers

Author

Erdol, Nurgun ; Bao, Feng

Author_Institution

Dept. of Electr. Eng., Florida Atlantic Univ., Boca Raton, FL, USA

fYear

1993

fDate

1-3 Nov 1993

Firstpage

916

Abstract

A generalized orthogonal series expansion should reflect the natural modes of a signal. In doing so, the transform becomes precise and useful. The most precise transform is the Karhunen-Loeve (KL) transform. In this paper wavelets are are analyzed for their appropriateness as KL transforms. It is shown that optimum filters for detection of signals in noise can be designed adaptively using an arbitrary wavelet basis

Keywords

adaptive filters; digital filters; receivers; series (mathematics); signal detection; transforms; wavelet transforms; KL transforms; Karhunen-Loeve transform; adaptive filters; generalized orthogonal series expansion; natural modes; noise; optimal receivers; optimum filters; signal detection; wavelet transform; Adaptive filters; Adaptive signal detection; Discrete wavelet transforms; Eigenvalues and eigenfunctions; Fourier transforms; Karhunen-Loeve transforms; Matched filters; Random variables; Signal analysis; Signal design; Signal detection; Signal processing; Wavelet analysis; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 1993. 1993 Conference Record of The Twenty-Seventh Asilomar Conference on

Conference_Location

Pacific Grove, CA

ISSN

1058-6393

Print_ISBN

0-8186-4120-7

Type

conf

DOI

10.1109/ACSSC.1993.342436

Filename

342436