MIMO Receiver Design in Impulsive Noise

Aditya Chopra and Kapil Gulati

Copyright © 2007. All Rights Reserved.

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Introduction

Background   Most MIMO systems assume independent Gaussian noise at each receiver  Models thermal noise at the receiver Impulsive noise also present in most systems    Man-made electromagnetic interference Co channel interference [Yang and Petropulu, 2003] Atmospheric noise  Problem Statement  Analysis and design of MIMO receivers in impulsive noise  Prior Work    Noise Modeling  Single antenna [Middleton, 1979, 1999]  Two receiver antenna [MacDonald and Blum,1997] Performance Analysis [Li, Wang and Zhou,2004] MIMO Receivers in impulsive noise  STBC over MIMO channels with impulsive noise [Gao and Tepedelenlioglu,2007] Copyright © 2007. All Rights Reserved.

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Work Done

Noise Modeling

   Middleton Model for two antennas  Extensions to N t x N r difficult Weighted sum of multivariate complex Gaussians Multivariate Symmetric Alpha Stable Model 

Performance Analysis

 Error performance of standard MIMO receivers in impulsive noise 

Receiver Design (2 x 2 MIMO system)

  MAP receiver  Assumes knowledge of noise parameters at the receiver Sub-optimal MAP receiver   Noise parameters estimated Reduction in complexity Copyright © 2007. All Rights Reserved.

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Results

Performance of MIMO Receivers in Implusive Noise Simulation Setup: • • 2 x 2 MIMO Middleton noise (moderately impulsive) A (impulsive index) = 0.1, Γ (ratio of Gaussian/non-Gaussian energy) = 0.1

10 -3 Alamouti SM with ZF (Gaussian) SM with ML (Gaussian) SM with MAP (Impulsive) SM with Sub-Optimal MAP (Impulsive) 0 5 10 SNR [in dB] Copyright © 2007. All Rights Reserved.

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References

[1] Weiyu Xu Anxin Li, Youzheng Wang and Zucheng Zhou, “Performance evaluation of MIMO systems in a mixture of Gaussian noise and impulsive noise”, Proc. 10th Asia Pacific Conference on Communications and 5t h International Symposium on Multi-Dimensional Mobile- Communications, 2004.

[2] Ping Gao and C. Tepedelenlioglu, ”Space-time coding over mimo channels with impulsive noise”, IEEE Transactions on Wireless Communications, vol 6(1) :220–229, January 2007.

[3] Marcel Nassar, Kapil Gulati and Brian L. Evans, ”In-platform radio frequency interference mitigation for wireless communications”, Technical report, The University of Texas at Austin, 2007 http://users.ece.utexas.edu/ bevans/projects/rfi/reports/RFIReportSpring2007.doc

[4] K.F. McDonald and R.S. Blum, ”A physically-based impulsive noise model for array observations”, Conference Record of the Thirty-First Asilomar Conference on Signals, Systems & Computers, 1997, volume 1, pages 448–452, 2-5 Nov. 1997.

[5] D. Middleton, “Non-Gaussian noise models in signal processing for telecommunications: New methods and results for class a and class b noise models”, IEEE Transactions on Information Theory, vol 45(4):1129 – 1149, May 1999.

[6] A. Spaulding and D. Middleton, ”Optimum reception in an impulsive interference environment-part 1: Coherent detection”, IEEE Transactions on Communications, vol 25(9):910923, 1977.

[7] Xueshi Yang and A.P. Petropulu, “Co-channel interference modeling and analysis in a Poisson field of interferers in wireless communications”, IEEE Transactions on Signal Processing, vol 51(1), 2003.

[8] S. M. Zabin and H. V. Poor, “Efficient estimation of class a noise parameters via the EM [Expectation Maximization] algorithms”, IEEE Transaction on Information Theory, vol 37(1):60–72, Jan 1991.

Copyright © 2007. All Rights Reserved.