1. Copyright © 2007. All Rights Reserved. MIMO Receiver Design in Impulsive Noise Aditya Chopra and Kapil Gulati

2. Copyright © 2007. All Rights Reserved. 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]

3. Copyright © 2007. All Rights Reserved. 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

4. Copyright © 2007. All Rights Reserved. Results Simulation Setup: 2 x 2 MIMO Middleton noise (moderately impulsive) A (impulsive index) = 0.1, Γ (ratio of Gaussian/non-Gaussian energy) = 0.1

5. Copyright © 2007. All Rights Reserved. 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.