Performance of different wavelets over wavelet packet multicarrier modulation system

Based on the analysis of two-way filter bank, BER performance of different wavelet based WP-MCM system is researched over frequency selective fading channel. The way to choose the optimal wavelet in practical application is proposed. Given a number of vanishing moments, compactly supported orthogonal Daubechies wavelet series have the smallest filter length, and spectral containment is much higher with the length of filter bank increasing. But they can't achieve linear phase filtering due to the asymmetry. Then bi-orthogonal wavelet is employed to provide linear phase filtering at the cost of non-orthogonality between the filter bank. In order to compromise the orthogonality and symmetry, symlets wavelet is the best choice.