Abstract
Based on the method of parallel tangents, the block-LMS algorithm is modified, and the block momentum-LMS algorithm is proposed. The new algorithm has lower computational complexity than the LMS algorithm. It converges significantly faster than the block-LMS algorithm when the input signal is coloured. The time-constant, mean and mean-square convergence conditions and the misadjustment of the proposed algorithm are derived. As a special case, an accurate mean-square convergence condition is obtained for the block-LMS algorithm. Extension to the frequency domain is also discussed. Comprehensive experimental results on system identification and channel equalisation are presented that validate the theoretical findings.
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