Title :
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
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;
Conference_Titel :
Signal Processing, 1996., 3rd International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-2912-0
DOI :
10.1109/ICSIGP.1996.567106
