Exact closed-form performance analysis of optimum combining with multiple cochannel interferers and Rayleigh fading

• Published in: IEEE transactions on communications Vol. 51; no. 6; pp. 995 - 1003
• Main Authors: Debang Lao, Haimovich, A.M.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.06.2003; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Binary phase shift keying; Closed-form solution; Diversity reception; Exact solutions; Fading; Gaussian; Gaussian noise; Interference; Mathematical analysis; Optimization; Performance analysis; Phase shift keying; Quadratic forms; Rayleigh channels; Signal to noise ratio; Statistics
• ISSN: 0090-6778; 1558-0857
• DOI: 10.1109/TCOMM.2003.813260

A new closed-form expression is derived for the exact bit-error probability (BEP) for optimum combining with binary phase-shift keying. The exact BEP expression is for multiple, equal power, cochannel interferers and multiple reception branches. It is assumed that the aggregate interference and noise is Gaussian and that both the desired signal and interference are subject to Rayleigh fading. The derivation starts by expressing the optimum combining decision statistic as a sum of quadratic forms of Gaussian random variables and it proceeds to average over the fading interference. The new BEP expression has low complexity as it contains only finite sums and products.