Fractionally Spaced Combining with Spatial Diversity Blind Equalization Algorithm Based on Orthogonal Wavelet Transformation

According to the disadvantages of large mean square error (MSE) and slow convergence rate of constant modulus algorithm (CMA), a fractionally spaced combining with spatial diversity blind equalization algorithm based on wavelet transformation (WT-FS-SDE-CMA) was proposed. In this proposed algorithm, spatial diversity technique was applied to blind equalizer to reduce effect of multi-path fading channel on input signals, fractionally spaced equalizer (FSE) was employed for avoiding the spectrum aliasing caused by the under-sampling and decreasing the MSE of equalizer, and orthogonal wavelet transform was introduced into fractionally spaced equalizer (FSE) to decrease the auto-correlation of the input signals. The proposed algorithm has smaller mean square error and faster convergence rate comparison with the spatial diversity equalizer based on CMA (SDE-CMA) and fractionally spaced spatial diversity equalizer based on CMA (FS-SDE-CMA). The performance of the proposed algorithm is best proved by the computer simulation in underwater acoustic channels.