Orthogonal Wavelet Transform Rayleigh Renyi Entropy Blind Equalization Algorithm Based on Fractionally Spaced Decision Feedback

In underwater acoustic communication systems, Inter-Symbol Interference (ISI) caused by communication channel distortion is the main factor affecting the quality of communication and must be suppressed by blind equalization technique. Aiming at the shortcomings of computational complexity, slow convergence rate, and poor stability of Fractionally spaced Decision feedback equalizer(FD), a Fractionally spaced Decision feedback blind equalization algorithm based on orthogonal Wavelet Transform and Rayleigh Renyi entropy (FDWTR) is proposed. In the proposed algorithm, Renyi entropy is estimated by Parzen window probability density estimation method and directly used as the cost function of FD to reduce the residual Mean Square Error(MSE) and orthogonal Wavelet Transform(WT) is used to speed up the convergence rate. The simulation results with underwater acoustic channel show the superiority of the proposed algorithm.