Based on the whitening property of wavelet transformation for 1/f noise, the problem of detecting deterministic signals in the presence of 1/f fractal noise is addressed. The transfer function of whitening filter is provided, the receiver structure based on Karhunen-Loeve expansion and the decision rule are also given. Finally performance of the receiver is analyzed and the experimental results are presented.
Keshner M S. 1/f noise[J].Proc. IEEE.1982, 70(3):212-218[2]Wornell G W. A Karhunen-Loeve-like expansion for 1/f processes via wavelets. IEEE Trans. on IT,[3]90, IT-36(4): 859-860.[4]Flandrin Patrick. Wavelet analysis and synthesis of fractional Brownian motion. IEEE Trans. on IT, 1992, IT-38(2): 910-917.[5]Stoksik M A, Lane R G, Ngugen D T. Accurate systhesis of fractional Brownian motion using wavelets, Electron. Lett., 1994, 30(5): 383-384.[6]Wornell G W. Wavelet-based representation for the 1/f family of fractional processes. Proc. IEEE,[7]93, 81(10): 1428-1450.[8]Srinatch M D.[J].Rajasekaran P K. An Introduction to Statistical Signal Processing with Applications, New York: John Wiley Sons.1979,:-