An Optimized Differential Step-Size LMS Algorithm

Algorithms

Constantin Paleologu¹  Alexandru-George Rusu¹  Silviu Ciochină¹  Jacob Benesty² 

[1] Department of Telecommunications, University Politehnica of Bucharest, 1-3, Iuliu Maniu Blvd., 061071 Bucharest, Romania;INRS-EMT, University of Quebec, Montreal, QC H5A 1K6, Canada;

关键词: adaptive filter;    least-mean-square (LMS) algorithm;    optimized differential step-size LMS algorithm;    system identification;    echo cancellation;   

DOI  :  10.3390/a12080147

来源: DOAJ

【 摘 要 】

Adaptive algorithms with differential step-sizes (related to the filter coefficients) are well known in the literature, most frequently as “proportionate” algorithms. Usually, they are derived on a heuristic basis. In this paper, we introduce an algorithm resulting from an optimization criterion. Thereby, we obtain a benchmark algorithm and also another version with lower computational complexity, which is rigorously valid for less correlated input signals. Simulation results confirm the theory and outline the performance of the algorithms. Unfortunately, the good performance is obtained by an important increase in computational complexity. Nevertheless, the proposed algorithms could represent useful benchmarks in the field.

【 授权许可】

Unknown