Super-Exponential Iterative Blind Equalization Algorithm Based on Orthogonal Wavelet Packet Transform

In order to overcome the slow convergence rate and large mean square error (MSE) of constant modulus algorithm (CMA), an equalizer and its output are expressed by a family of orthogonal wavelet packet functions. Then, a super-exponential iterative blind equalization algorithm based on orthogonal wavelet packet transform (WPT-SEI) is proposed, via the analyzing of the futures of wavelet packet transform and super-exponential iterative algorithm (SEI). The convergence rate of the proposed algorithm can be improved via full using the de-correlation ability of orthogonal wavelet packet transform and the whiten ability of SEI. And the computational complexity increases a litter for the fast wavelet packet transform. The efficiency of the proposed algorithm is proved by computer simulation in underwater acoustic channels.