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

Abstract

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

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.

References

［1］ GIUGNO L, LUISE M, LOTTICI V. Adaptive Pre-and Post-compensation of Nonlinear Distortions for High-level Data Modulations［J］. IEEE Transactions on Wireless Communications, 2004, 3(5):1490-1495.
［2］ RYAN W E, GUTIERREZ A. Performance of Adaptive Volterra Equalizers on Nonlinear Magnetic Recording Channels［J］. IEEE Transactions on Magnetics, 1995, 31(6): 3054-3056.
［3］陈晖, 王心霖, 刘彬, 等. 卫星信道中基于部分解耦的Volterra均衡算法［J］. 系统工程与电子技术, 2013, 35(4): 847-851.
CHEN Hui, WANG Xinlin LIU Bin, et al. Partially Decoupled Volterra Equalizer for Digital Satellite Channels［J］. Systems Engineering and Electronics, 2013,35(4): 847-851.
［4］张晓娟, 吴长奇. 使用变步长频域LMS算法的自适应Volterra均衡器［J］. 电路与系统学报, 2012, 17(4): 99-102.
ZHANG Xiaojuan, WU Changqi. Adaptive Volterra Equalizer Based on Variable Step-size Frequency Domain LMS［J］. Journal of Circuits and Systems, 2012, 17(4): 99-102.
［5］ ANDRO N S, HABEL K, LOUCHET H, et al. Adaptive Nonlinear Volterra Equalizer for Mitigation of Chirp-induced Distortions in Cost Effective IMDD OFDM Systems［J］. Optics Express, 2013, 21(22): 26527-26532.
［6］ MYBURGH H C, OLIVIER J C. A Low Complexity Hopfield Neural Network Turbo Equalizer［J］. Eurasip Journal on Advances in Signal Processing, 2013, 2013(1): 1-22.
［7］张婷, 王彬, 刘世刚. 基于Hammerstein模型的非线性信道广义线性盲均衡算法［J］. 电子学报, 2015(9): 1723-1731.
ZHANG Ting, WANG Bin, LIU Shigang. Widely Linear Blind Equalization Algorithms for Nonlinear Channels Based on the Hammerstein Model［J］. Acta Electronica Sinica, 2015(9): 1723-1731.
［8］刘顺兰, 蒋树南. 非线性信道的LMS Newton均衡算法的研究［J］. 电路与系统学报, 2011, 16(1): 108-115.
LIU Shunlan, JIANG Shunan. A Study of LMS Newton Equalization Algorithm in Nonlinear Channel［J］. Journal of Circuits and Systems, 2011, 16(1): 108-115.
［9］唐成凯, 廉保旺, 张玲玲. 卫星星载后置非线性失真消除算法［J］.西安电子科技大学学报, 2015, 42(1): 207-212.
TANG Chengkai, LIAN Baowang, ZHANG Lingling. Post Nonlinear Interference Cancelation Algorithm in Satellite Communication［J］. Journal of Xidian University, 2015, 42(1): 207-212.
［10］ DINIZ P S R, de CAMPOS M L R, ANTONIOU A. Analysis of LMS-Newton Adaptive Filtering Algorithms with Variable Convergence Factor［J］. IEEE Transactions on Signal Processing, 1995, 43(3): 617-627.
［11］宁小玲, 李启元, 陈志刚. 一种新快速LMS-Newton算法在水声信道均衡中的应用［J］. 中南大学学报(自然科学版), 2013,44(11): 4548-4553.
NING Xiaoling, LI Qiyuan, CHEN Zhigang. A New Fast LMS-Newton Algorithm for Application to Underwater Acoustic Channel Equalization［J］. Journal of Central South University(Science and Technology), 2013, 44(11): 4548-4553.
［12］ BHOTTO Z A, ANTONIOU A. A Family of Shrinkage Adaptive-filtering Algorithms［J］. IEEE Transactions on Signal Processing, 2013, 61(7): 1689-1697.
［13］ ZIBULEVSKY M, ELAD M. L1-L2 Optimization in Signal and Image Processing［J］. IEEE Signal Processing Magazine, 2010, 27(3): 76-88.
［14］ DAUBECHIES I, DEFRISE M, de MOL C. An Iterative Thresholding Algorithm for Linear Inverse Problems with a Sparsity Constraint［J］. Communications on Pure and Applied Mathematics, 2004, 57(11): 1413-1457.

[1]	DONG Xinfeng,ZHANG Wenzheng,XU Chunxiang. 8 bits lightweight S-box with the Feistel structure [J]. Journal of Xidian University, 2021, 48(1): 69-75.
[2]	WANG Lu,WANG Leilei. Optimization of the voltage regulators and voltage noise for the power delivery network [J]. Journal of Xidian University, 2020, 47(4): 124-131.
[3]	GUO Kongming,JIANG Jun,XU Yalan. Model predictive path integral method for nonlinear random vibration control [J]. Journal of Xidian University, 2020, 47(4): 48-54.
[4]	ZHANG Gang,HUANG Nanfei,ZHANG Tianqi. Design and performance analysis of the PQMC-NRCDSK [J]. Journal of Xidian University, 2020, 47(1): 1-9.
[5]	YU Lihong,ZHAO Jiaxiang. Design of sparse MIMO equalizers using least angle regression [J]. Journal of Xidian University, 2019, 46(1): 73-78.
[6]	BAI Jing,SHI Yanyan,XUE Peiyun,GUO Qianyan. CFCC feature extraction for fusion of the power-law nonlinearity function and spectral subtraction [J]. Journal of Xidian University, 2019, 46(1): 86-92.
[7]	GUO Shuai;WANG Jun;CHEN Gang;WANG Jue. Method for multipath interference restraint of the reference channel in passive bistatic radar [J]. Journal of Xidian University, 2018, 45(3): 18-23.
[8]	CAO Peng;BAO Hong;DU Jingli;PENG Fujun. Cable-membrane modeling and shape optimization of the space membrane antenna [J]. Journal of Xidian University, 2018, 45(2): 54-58+65.
[9]	SUN Ying;SONG Chunxiao. Emotional speech feature extraction and optimization of phase space reconstruction [J]. Journal of Xidian University, 2017, 44(6): 162-168.
[10]	HOU Xiaojian;XU Hua;ZENG Leya. Variable step size multi-antenna diversity equalization algorithm using error feedback [J]. Journal of Xidian University, 2017, 44(5): 158-164.
[11]	WANG Shuzhen;XIE Kun;LI Li;ZHANG Jingang. Improved RLTV algorithm used to radio image reconstruction [J]. Journal of Xidian University, 2017, 44(3): 72-76.
[12]	LI Jun;XU Zhuo;MA Xiaofei;LI Tuanjie. Relation between torque and passive intermodulation in microwave devices [J]. Journal of Xidian University, 2017, 44(2): 185-190.
[13]	DUAN Zhenzhen;TIAN Bin;YI Kechu;LI Yunhua. Efficient QOTDM transmission method for the satellite channel [J]. Journal of Xidian University, 2017, 44(1): 176-181.
[14]	LI Liangshan;YANG Yuhong;WANG Lan. Fast RPEM algorithm in satellite communication [J]. Journal of Xidian University, 2016, 43(6): 122-128.
[15]	CHEN Jianlai;ZHANG Rui;SUN Guangcai;JING Guobin;XING Mengdao. Azimuth variation correction method for geosynchronous synthetic aperture radar [J]. Journal of Xidian University, 2016, 43(5): 18-23+62.

Fast nonlinear Shrinkage LMS Newton equalization algorithm over the satellite nonlinear channel

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10