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Adaptive Channel Estimation Based on an Improved Norm-Constrained Set-Membership Normalized Least Mean Square Algorithm

机译:基于改进的范数约束集成员归一化最小二乘算法的自适应信道估计

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An improved norm-constrained set-membership normalized least mean square (INCSM-NLMS) algorithm is proposed for adaptive sparse channel estimation (ASCE). The proposed INCSM-NLMS algorithm is implemented by incorporating an -norm penalty into the cost function of the traditional set-membership normalized least mean square (SM-NLMS) algorithm, which is also denoted as -norm penalized SM-NLMS (LPSM-NLMS) algorithm. The derivation of the proposed LPSM-NLMS algorithm is given theoretically, resulting in a zero attractor in its iteration. By using this proposed zero attractor, the convergence speed is effectively accelerated and the channel estimation steady-state error is also observably reduced in comparison with the existing popular SM-NLMS algorithms for estimating exact sparse multipath channels. The estimation behaviors are investigated via a typical sparse wireless multipath channel, a typical network echo channel, and an acoustic channel. The computer simulation results show that the proposed LPSM-NLMS algorithm is better than those corresponding sparse SM-NLMS and traditional SM-NLMS algorithms when the channels are exactly sparse.
机译:提出了一种改进的范数约束集成员归一化最小均方(INCSM-NLMS)算法,用于自适应稀疏信道估计(ASCE)。拟议的INCSM-NLMS算法是通过将-norm罚分合并到传统集成员资格归一化最小均方(SM-NLMS)算法的成本函数中来实现的,该算法也称为-norm罚分SM-NLMS(LPSM-NLMS )算法。理论上给出了所提出的LPSM-NLMS算法的推导,其迭代过程中的吸引子为零。与现有的流行的精确估计稀疏多径信道的SM-NLMS算法相比,通过使用该提出的零吸引子,有效地加快了收敛速度,并显着降低了信道估计稳态误差。通过典型的稀疏无线多径信道,典型的网络回声信道和声学信道来研究估计行为。计算机仿真结果表明,在信道较为稀疏的情况下,所提出的LPSM-NLMS算法要优于相应的稀疏SM-NLMS算法和传统的SM-NLMS算法。

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