A wavelet time-scale deconvolution filter design for nonstationary signal transmission systems through a multipath fading channel

This study attempts to develop a time-scale deconvolution filter for optimal signal reconstruction of nonstationary processes with a stationary increment transmitted through a multipath fading and colored noisy channel with stochastic tap coefficients. A deconvolution filter based on wavelet analysis/synthesis filter bank is proposed to solve this problem via a three-stage filter bank. A fractal signal transmitted through a multipath fading and noisy channel is provided to demonstrate the design procedure’s effectiveness and to exhibit the signal reconstruction performance of the proposed optimal time-scale deconvolution filter.