Outage Probability of SIMO MRC Receivers With Correlated Poisson Field of Interferers

We study the performance of applying maximal ratio combining (MRC) in a single-input-multiple-output (SIMO) system with a Poisson field of interferers. Due to the correlated interference powers across different antennas, the derivation of the exact outage probability is highly involved. To tackle this problem, we take advantage of the mathematical property of the sub-Gaussian $\alpha $ -stable interference signal vector, and then derive an analytical lower bound of the outage probability, which is shown to be very tight through Monte Carlo simulations. Our results can be used to assist performance analysis and design of SIMO MRC receiver with random interferers.

[1]  Jeffrey G. Andrews,et al.  Effect of Spatial Interference Correlation on the Performance of Maximum Ratio Combining , 2013, IEEE Transactions on Wireless Communications.

[2]  Mandy Eberhart,et al.  Digital Communication Over Fading Channels , 2016 .

[3]  Amos Lapidoth,et al.  A Foundation In Digital Communication: Index , 2009 .

[4]  David Tse,et al.  Fundamentals of Wireless Communication , 2005 .

[5]  Martin Haenggi Diversity Loss Due to Interference Correlation , 2012, IEEE Communications Letters.

[6]  Colin M. Ramsay,et al.  The Distribution of Sums of Certain I.I.D. Pareto Variates , 2006 .

[7]  D. G. Brennan Linear Diversity Combining Techniques , 1959, Proceedings of the IRE.

[8]  M. Taqqu,et al.  Stable Non-Gaussian Random Processes : Stochastic Models with Infinite Variance , 1995 .

[9]  Mohamed-Slim Alouini,et al.  Analytical Modeling of Mode Selection and Power Control for Underlay D2D Communication in Cellular Networks , 2014, IEEE Transactions on Communications.

[10]  Khoa N. Le A review of selection combining receivers over correlated Rician fading , 2019, Digit. Signal Process..

[11]  Arindam Ghosh Mixture-Based Modeling of Spatially Correlated Interference in a Poisson Field of Interferers , 2017, IEEE Communications Letters.

[12]  Harpreet S. Dhillon,et al.  Performance Analysis of MRC Under Spatially Correlated Interference Using Mixture-Based Method , 2018, IEEE Communications Letters.

[13]  Behrooz Makki,et al.  Equal Gain Combining in Poisson Networks With Spatially Correlated Interference Signals , 2016, IEEE Wireless Communications Letters.

[14]  Martin Haenggi,et al.  Spatial and temporal correlation of the interference in ALOHA ad hoc networks , 2009, IEEE Communications Letters.

[15]  Jeffrey G. Andrews,et al.  Dual-Branch MRC Receivers Under Spatial Interference Correlation and Nakagami Fading , 2013, IEEE Transactions on Communications.

[16]  Wei Liang,et al.  A review of selection combining receivers over Nakagami-m correlated fading channels , 2018, Digit. Signal Process..

[17]  Joseph Lipka,et al.  A Table of Integrals , 2010 .

[18]  Marco Di Renzo,et al.  End-to-End Error Probability and Diversity Analysis of AF-Based Dual-Hop Cooperative Relaying in a Poisson Field of Interferers at the Destination , 2015, IEEE Transactions on Wireless Communications.

[19]  Jean-Marie Gorce,et al.  Dynamic interference for uplink SCMA in large-scale wireless networks without coordination , 2018, EURASIP Journal on Wireless Communications and Networking.

[20]  Yusheng Ji,et al.  Stochastic Geometric Analysis in Cooperative Vehicular Networks Under Weibull Fading , 2019, IEEE Access.