Detection of known signals in 1/f fractal noise

Author

Wenlu, Xie ; Weixin, Xie

Author_Institution

Dept. of Electron. Eng., Xidian Univ., Xi´´an, China

Volume

1

fYear

1996

Firstpage

217

Abstract

Based on the whitening property of the wavelet transformation for 1/f noise, we address the problem of detecting deterministic signals in the presence of 1/f fractal noise. The transfer function of the whitening filter is provided as well as the condition for whitening, the receiver structure based on the Karhunen-Loeve expansion and decision rule is also given. Finally we discuss the problem of waveform design for an optimum binary system, and conclude that the optimum signal, at least has one vanishing moment

Keywords

1/f noise; filtering theory; fractals; interference (signal); optimisation; signal detection; transfer functions; transforms; wavelet transforms; white noise; 1/f fractal noise; Karhunen-Loeve expansion; decision rule; deterministic signals; known signals detection; optimum binary system; optimum signal; receiver structure; transfer function; vanishing moment; waveform design; wavelet transformation; whitening filter; whitening property; Colored noise; Filters; Fractals; Signal analysis; Signal design; Signal detection; Signal processing; Transfer functions; Wavelet analysis; Wavelet coefficients;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing, 1996., 3rd International Conference on

Conference_Location

Beijing

Print_ISBN

0-7803-2912-0

Type

conf

DOI

10.1109/ICSIGP.1996.567106

Filename

567106