Low SNR capacity for MIMO Rician and Rayleigh-product fading channels with single co-channel interferer and noise

  • Authors:
  • Caijun Zhong;Shi Jin;Kai-Kit Wong;Mohamed-Slim Alouini;T. Ratnarajah

  • Affiliations:
  • ECIT, Queen's University Belfast, Northern Ireland, UK;National Mobile Communications Research Laboratory, Southeast University, Nanjing, P.R. China;Department of Electrical and Electronic Engineering, University College London, UK;King Abdullah University of Science and Technology, Thuwal, Mekkah Province, Saudi Arabia;ECIT, Queen's University Belfast, Northern Ireland, UK

  • Venue:
  • IEEE Transactions on Communications
  • Year:
  • 2010

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Abstract

This paper studies the ergodic capacity of multiple-input multiple-output (MIMO) systems with a single co-channel interferer in the low signal-to-noise-ratio (SNR) regime. Two MIMO models namely Rician and Rayleigh-product channels are investigated. Exact analytical expressions for the minimum energy per information bit, Eb/N0min, and wideband slope, S0, are derived for both channels. Our results show that the minimum energy per information bit is the same for both channels while their wideband slopes differ significantly. Further, the impact of the numbers of transmit and receive antennas, the Rician K factor, the channel mean matrix and the interference-to-noise-ratio (INR) on the capacity, is addressed. Results indicate that interference degrades the capacity by increasing the required minimum energy per information bit and reducing the wideband slope. Simulation results validate our analytical results.