The Method of Wavelet Spectral Correlation in Processing Fractal Stochastic Noise

The concept of “the Wavelet Spectral correlation function(WSCF)” is proposed.The property of WSCF and the relation between Spectral correlation function(SCF) and WSCF are analyzed briefly.The WSCF of the fractal stochastic noise is deduced based on the analysis of WSCF of white gauss noise(WGN) and the SCF of WGN.And the property of fractal stochastic noise in the WSC domain is analyzed.Considering the actual sea clutter,a fractal noise AM-FM model is proposed.The WSCF of the sea clutter is analyzed,which presents the advantage of the WSCF in processing the sea clutter.The signal recognition of pseudo random code pulse trains under the environment of fractal noise with WSCF is simulated.It is found that the method can effectively eliminate fractal noise and accurately extract the signal parameters.