Frequency domain selective tap adaptive algorithms for sparse system identification

We propose a new low complexity and fast converging frequency-domain adaptive algorithm for sparse system identification. This is achieved by exploiting the MMax and SP tap-selection criteria for complexity reduction and fast convergence respectively. We incorporate these tap-selection techniques into the multi-delay filtering (MDF) algorithm in order to reduce the delay inherent in frequency-domain algorithms. We illustrate two such approaches and discuss the tradeoff between convergence performance and computational complexity for these approaches. Simulation results show an improvement in convergence rate for the proposed algorithm over MDF with reduced complexity. The proposed algorithm achieves a convergence performance close to that of the recently proposed but substantially more complex improved proportionate MDF algorithm.