Effects of wavelet choice in fast-fading channel estimation using wavelet transform-based deconvolution

In this paper a procedure for deconvolving signals in a Discrete Wavelet Transform (DWT) framework is applied to the estimation of impulse responses of fast-fading communications channels. Specifically, the effects of using several different wavelets on the performance of such wavelet-domain channel estimation is investigated. Monte Carlo simulations are performed using eight different wavelets. The simulations estimate impulse responses having a fast-fading, multipath, Power Delay Profile (PDP), and include Additive White Gaussian Noise (AWGN) resulting in E_b/N₀ ratios from 0 dB to 30 dB. Results show that DWT-based deconvolution is especially effective when wavelets corresponding to short-length filters are used.