Orthogonal Wavelet Transform based Double-error function Blind Equalization Optimization Algorithm

Based on analysing orthogonal wavelet transform based Decision Feedback blind equalizer characteristics, orthogonal Wavelet Transform based Double-error function Momentum Decision Feedback Constant Modulus blind equalization Algorithm (WT-DMCMA-DFE) is proposed. Four combinations of hyperbolic tangent error function and constant modulus error function are used to adjust separately weight coefficient of forward equalizer and the feedback equalizer in the algorithm, separately momentum is added in forward equalizer and feedback equalizer and transforming input signal of equalizer to improve the performance of equalizer in the algorithm, the performance of the proposed algorithm is further improved by normalizing the energy and using the better de-correlation of wavelet transform. Simulation tests with underwater acoustic channel verify performance of the algorithm.