噪声鲁棒变步长LMS算法及其在OFDM水声信道均衡中的应用

doi:10.3969/j.issn.1001-506X.2020.07.24

Abstract

Abstract:

Aiming at the problem of poor performance in least mean square (LMS) algorithm under low signal to noise ratio (SNR) environments, a noise robust variable step-size LMS (NRVSLMS) algorithm is proposed. By combining the improved double sigmoid function and the error signal autocorrelation function, the NRVSLMS algorithm dynamically adjusts its step-size during the iteration process to solve the problem that the convergence speed, the tracking performance and the steady-state performance are contradictory in the traditional LMS algorithm. Theoretical analysis and simulation results show that the NRVSLMS algorithm has stronger anti-noise ability, faster tracking speed and better steady state performance compared with other variable step-size algorithms. The proposed algorithm is applied to orthogonal frequency division multiplexing (OFDM) underwater acoustic communications, the proposed equalization method base on the NRVSLMS algorithm improves the performance in terms of the bit error rate (BER) and mean square error (MSE) sufficiently in comparison with the existing ones.

Key words: adaptive channel equalization, orthogonal frequency division multiplexing (OFDM), least mean square (LMS), underwater acoustic communication

CLC Number:

TN911.7

Zeping SUI, Shefeng YAN. Noise robust variable step-size LMS algorithm and its application in OFDM underwater channel equalization[J]. Systems Engineering and Electronics, 2020, 42(7): 1605-1613.

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References 18

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算法	参数设置
SVSLMS	α=100, β=0.6
CVSLMS	α=100, β=0.25, h=10
GVSLMS	α=100, β=0.3
NRVSLMS	α=100, β=0.3, h=10

算法	参数设置
SVSLMS	α=4, β=0.12
CVSLMS	α=4, β=0.06, h=4
GVSLMS	α=6, β=0.062
NRVSLMS	α=4, β=0.05, h=4

仿真参数	参数值
中心频率f_c/kHz	12
采样率f_s/kHz	96
OFDM符号长度T/ms	213.3
信号带宽B/Hz	6
子载波间隔Δf/Hz	4.7
保护间隔长度T_g/ms	5
子载波数K	1 024
数据子载波数K_d	928
空子载波数K_n	96
升余弦窗滚降因子ρ	0.25
映射方式	QPSK
-	-

算法	BER
SVSLMS	0.027 5
CVSLMS	0.004 5
GVSLMS	0.002 2
NRVSLMS	0

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Noise robust variable step-size LMS algorithm and its application in OFDM underwater channel equalization

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