Fractal Stochastic Signal Processing Based on the Affine Spectral Correlation Method

This paper proposed a new time-scale representation-"the wavelet spectral correlation function (WSCF)", and analyzed the property and the relation between SCF and WSCF. Based on the analysis of WSCF of fractal stochastic noise and WGN and the SCF of WGN, the property of fractal stochastic noise in the WSC domain is studied. Considering the actual sea clutter, a fractal noise AM-FM model was proposed, furthermore, its relation in frequency spectrum with the narrowband WGN AM-FM jamming is analyzed, and the WSCF of the sea clutter was analyzed, which presents the advantage of the WSCF in the processing of the sea clutter. The signal recognition of pseudo random code pulse trains was simulated, including the width and repeating period of the sub pulse, which showed the value of theory and application of WSCF in the signal recognition and estimation