Title :
Wavelet transform based optimal receivers
Author :
Erdol, Nurgun ; Bao, Feng
Author_Institution :
Dept. of Electr. Eng., Florida Atlantic Univ., Boca Raton, FL, USA
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;
Conference_Titel :
Signals, Systems and Computers, 1993. 1993 Conference Record of The Twenty-Seventh Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
0-8186-4120-7
DOI :
10.1109/ACSSC.1993.342436
