Analysis and synthesis of 1/f processes via Shannon wavelets

1/f processes can he very useful in modeling processes with long-term correlation. We propose analysis and synthesis procedures to express these processes in terms of the Shannon wavelet. Unlike previous techniques, our analysis procedure generates uncorrelated decomposition coefficients for the 1/f process. This is done hy taking onto account, and then removing, the residual correlation between the wavelet components. The analysis procedure is the major contribution of this work. The proposed synthesis algorithm, which is a byproduct of the proposed analysis algorithm, is competitive with other techniques.