Hostname: page-component-76fb5796d-45l2p Total loading time: 0 Render date: 2024-04-28T00:30:29.626Z Has data issue: false hasContentIssue false
  • English
  • Français

Exact SINR Calculations for Optimum Linear Combining in Wireless Systems

Published online by Cambridge University Press:  27 July 2009

Hongsheng Gao  and
Peter J. Smith
Hongsheng Gao
Affiliation:
Institute of Statistics and Operations Research, Victoria University of Wellington, P.O. Box 600, Wellington, New Zealand
Peter J. Smith
Affiliation:
Institute of Statistics and Operations Research, Victoria University of Wellington, P.O. Box 600, Wellington, New Zealand
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper presents an exact derivation of the statistical distribution of the signal to interference-plus-noise ratio (SINR) for optimum linear combining in wireless systems with multiple cochannel interferes, Rayleigh fading, and additive white Gaussian noise. The distribution of the SINR is shown to be remarkably simple and leads to bounds on the bit error rate and outage probabilities which are tighter, simpler, and more robust than any previous results. The simplicity of the SINR distribution permits extremely fast computation of outage probabilities for any number of interference channels and diversity levels. Hence for wireless systems it enables performance studies to be performed over a much wider range of conditions, such as shadow fading, specific channel allocation methods, etc. Previously such studies were extremely limited due to the intensive computational requirements of simulating these systems.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 12 , Issue 2 , April 1998 , pp. 261 - 281
Copyright
Copyright © Cambridge University Press 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Gao, H. & Smith, P.J. (1997). The distribution of a certain quadratic form with applications to linear combining in wireless systems. ISOR Technical Report No. 43, School of Mathematical and Computing Sciences, Victoria University of Wellington, Wellington, New Zealand.Google Scholar
2.Gao, H., Smith, P.J., & Clark, M.V. Theoretical reliability of MMSE linear diversity combining in Rayleigh fading, additive interference channels. To appear in the IEEE Transactions on Communications.Google Scholar
3.Gross, K.I. & Richards, D.S.P. (1989). Total positivity, spherical series, and hypergeometric functions of matrix argument. Journal of Approximation Theory 59: 224–226.CrossRefGoogle Scholar
4.Khatri, C.G. (1966). On certain distribution problems based on positive definite quadratic functions in normal vectors. Annals of Mathematical Statistics 37: 468–479.CrossRefGoogle Scholar
5.Muirhead, R.J. (1982). Aspects of multivariate statistical theory, New York: John Wiley and Sons.CrossRefGoogle Scholar
6.Winters, J.H. (1987). Optimum combining for indoor radio systems with multiple users. IEEE Transactions on Communications COM-35, no. 11.CrossRefGoogle Scholar
7.Winters, J.H. (1993). Signal acquisition and tracking with adaptive arrays in the digital mobile radio system IS-54 with flat fading. IEEE Transactions on Vehicular Technology, 11.CrossRefGoogle Scholar
8.Winters, J.H. & Salz, J. (1994). Upper bounds on the bit error rate of optimum combining in wireless systems. Proceedings of the Vehicular Technology Conference 2: 942–946.CrossRefGoogle Scholar
9.Winters, J.H., Salz, J., & Gitlin, R.D. (1994). The impact of antenna diversity on the capacity of wireless communication systems. IEEE Transactions on Communications, 04.CrossRefGoogle Scholar