卫星信道快速非线性SHLMS Newton均衡算法

doi:10.3969/j.issn.1001-2400.2017.02.027

摘要/Abstract

摘要：

自适应沃尔泰拉均衡器能够有效地均衡卫星信道的非线性失真，但存在收敛速度慢的缺点．将LMS Newton算法应用于自适应沃尔泰拉均衡中，提出了快速非线性Shrinkage LMS Newton均衡算法．该算法通过使用Shrinkage方法和L₁-L₂范数最小化公式获得了噪声自由的先验误差与后验误差，再利用噪声自由的后验误差能量最小化的方法推导了一种最佳的变步长收敛因子，有效地提高了算法的收敛速度．仿真结果表明，Shrinkage LMS Newton均衡算法能够有效地纠正信号的幅度失真和相位失真，解决了卫星信道非线性失真的问题，并且与传统算法相比，Shrinkage LMS Newton算法在几乎不增加计算复杂性的基础上能够获得更快的收敛速度．

关键词: 卫星信道, 非线性, LMS Newton, 均衡

Abstract:

The adaptive Volterra equalizer is an effective technique for compensating the nonlinearity over satellite channels. However, its adaptive algorithm has a slow convergence speed. To counteract this problem, a new shrinkage least mean square Newton algorithm is devised for the adaptive Volterra equalizer over the satellite nonlinear channel. A noise-free posteriori and priori error signal is obtained by using a known Shrinkage method and L1-L2 minimization formulation. Furthermore, by minimizing the energy of the noise-free posteriori error signal, the SHLMS Newton method is able to provide a variable step size to update the weight vector for the adaptive Volterra equalizer, significantly enhancing the convergence speed. Simulation results indicate that the SHLMS Newton adaptive Volterra equalizer can effectively correct signal amplitude and phase distortions and satellite nonlinear channel distortion.Additionally, the SHLMS Newton algorithm can obtain a faster convergence speed than the traditional algorithms.

Key words: satellite channel, nonlinear, least mean square Newton, equalization

李良山;杨育红;王兰. 卫星信道快速非线性SHLMS Newton均衡算法[J]. 西安电子科技大学学报, 2017, 44(2): 158-164.

LI Liangshan;YANG Yuhong;WANG Lan. Fast nonlinear Shrinkage LMS Newton equalization algorithm over the satellite nonlinear channel[J]. Journal of Xidian University, 2017, 44(2): 158-164.

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