WAVELET PACKET BASED CHANNEL EQUALIZATION

Recently, considerable amount of attention is being given to the field of wavelets and wavelet packets. It has found numerous applications i n signal representation, image compression and applied mathematics. In this paper, we present a channel equalization method based on wavelet packets. The proposed equalizer structure is based on the fact that f or sufficiently narrowband sequences, a non-ideal channel can be model led as an attenuation and delay. If the data sequence is used to modul ate a set of narrowband wavelet packets, then no equalization is requi red at the receiver end. The equalization problem reduces to that of d etermining the delay introduced by the channel for each of the wavelet packets. A minimum square variance algorithm for adaptively choosing the delay has been proposed. This algorithm has been shown to perform as desired analytically in a simple delay channel case. Simulations ha ve been used to study its performance in the non-ideal channel's case and the results corroborate theoretical predictions.