Recursive least squares constant modulus algorithm based on the QR decomposition

Wang Shuyan, Wu Renbiao, Shi Qing-yan
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Abstract

A novel QR-RLS constant modulus algorithm called QR-RLS-CMA is proposed. Its potential advantages include numerical stability, computational efficiency and a fast convergence rate. Simulations are performed to compare the convergence performance and the blind extracting ability of the proposed QR-RLS-CMA to the conventional SGD-CMA for adaptive CMA array. Results indicate that the QR-RLS-CMA has a much faster convergence rate than the SGD-CMA in the initial convergence phase. It illustrates the effectiveness of the proposed method.
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基于QR分解的递推最小二乘常模算法
提出了一种新的QR-RLS常模算法——QR-RLS- cma。它具有数值稳定性、计算效率高、收敛速度快等优点。通过仿真比较了自适应CMA阵列中QR-RLS-CMA与传统SGD-CMA的收敛性能和盲提取能力。结果表明,在初始收敛阶段,QR-RLS-CMA的收敛速度明显快于SGD-CMA。验证了所提方法的有效性。
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