Performance analysis of maximum likelihood decode and forward cooperative systems in rayleigh fading

  • Authors:
  • G. V. V. Sharma;Vijay Ganwani;Uday B. Desai;S. N. Merchant

  • Affiliations:
  • SPANN Lab, Electrical Engineering Department, Indian Institute of Technology, Bombay, Mumbai, India;SPANN Lab, Electrical Engineering Department, Indian Institute of Technology, Bombay, Mumbai, India;SPANN Lab, Electrical Engineering Department, Indian Institute of Technology, Bombay, Mumbai, India;SPANN Lab, Electrical Engineering Department, Indian Institute of Technology, Bombay, Mumbai, India

  • Venue:
  • ICC'09 Proceedings of the 2009 IEEE international conference on Communications
  • Year:
  • 2009

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Abstract

The bit error rate (BER) performance analysis of maximum-likelihood (ML) based decode and forward (DF) cooperative diversity systems has been a subject of considerable interest. Exact analysis of ML-DF transmission has been considered a challenging problem due to the nonlinear characteristic of the ML detector. In this paper, we provide exact expressions for the BER of ML-DF cooperative systems employing a single relay. We extend these results to the case of multiple relays for the piecewise linear (PL) combiner, that is known to be a close approximation of the ML detector. This is done by using a novel theory of conditionally Gaussian random variables. By expressing the ML decision variable in terms of functions of conditionally Gaussian variables, exact expressions for the BER of the ML-DF system are obtained. Through simulation results, we verify the validity of the derived analytical expressions.