Wavelet Synthesis of 1/f Processes
Min Lin · 2001
A method of wavelet synthesis of 1/f processes is proposed in this paper. Based on the self-similarity characteristics of the wavelet bases and the decorrelative capacity of the wavelet transformation, the discrete wavelet coefficients of 1/f processes with self-similar properties are analyzed and the wavelet model of 1/f processes is given in combination with the correlative structure of AR model. The experiments show that this model significantly improves the approximation in comparison with the often used assumption that the wavelet coefficients are completely uncorrelated.