A Sparse Direct Adaptive Equalization Method for Underwater Acoustic Communication

For the poor performance of the traditional equalization algorithm for underwater acoustic communicaiton, an adaptive equalization algorithm based on gradient pursuit algorithm and the l1-norm convex relaxation algorithm l1-CoSaMPSGP algorithm is proposed. This algorithm uses sparseness of the weights of the adaptive equalizer in underwater acoustic channel, the weight calculation process of equalizer is transformed into sparse recovery problem. The equalizer filter’s tap is sparsely searched by gradient pursuit algorithm, and the noise is suppressed by introducing l1-norm. The simulation results show that compared with traditional equalization method, it can obtain about 3dB bit error rate gain, and has faster convergence speed compared with similar sparse equalization methods.