SMOOTHING OF 1/F SIGNAL WITH ORTHOGONAL MULTIWAVELET

摘要

Based on the orthogonal multiwavelet model of 1/f signals, smoothing fractal signals from whiteGaussian noise with multiwavelet filter is proposed. The proposed multiwavelet method is very simple andeasy to realize. Compared with Wornell's single wavelet method, the new method has r filtering factors ateach scale and has higher filtering speed, where r is the multiplicity of multiwavelet. Also due to the advan-tages of multiwavelet, the multiwavelet method performs better than that of Wornell's. Simulation results ver-ify the analysis, and Wornell's method is the special case of our method when r = 1.