## Improved convergent distributed arithmetic based low complexity pipelined least-mean-square filter

This study presents an improved convergent distributed arithmetic (DA)-based low complexity pipelined least-mean-square filter. The concept is based on a convex combination of two adaptive filters (ADFs) where the convergence performance of the combined filter is adjusted by the step-sizes of ADFs. The proposed technique replaced two ADF units by a single unit of the DA-based ADF. Further reduction in hardware complexity is achieved by sharing the filter partial products. Moreover, a bit-level coefficient update unit is employed to minimise its hardware complexity. In addition, a novel low-cost strategy is presented to improve the convergence performance of the proposed filter by comparing the time-window corresponding to the maximum correlation of delayed error signals with a pre-defined window with *n* being time instant and . Compared with the best existing scheme, the proposed design offers 46.42% fewer adders, 36.69% fewer registers and 18.75% fewer multiplexers for a 64th-order filter. Application specific integrated circuit synthesis results show that the proposed design occupies 37.10% less chip-area and consumes 24.79% less power. In addition, the proposed design provides 20.35% less area-delay-product and 4.76% less energy-per-sample for 64th order with the fourth-order base unit over the best existing scheme.