Conditionally Gaussian distributions and their application in the performance of maximum likelihood decode and forward cooperative systems

Sharma, G V V and Desai, U B and Merchant, S N (2011) Conditionally Gaussian distributions and their application in the performance of maximum likelihood decode and forward cooperative systems. IEEE Transactions on Wireless Communications, 10 (1). pp. 27-32. ISSN 1536-1276

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Abstract

The statistics of gamma conditionally Gaussian (CG) random variables are derived in closed form. These variables can be loosely defined to be normally distributed with mean and variance proportional to a gamma random variable. In this paper, we provide exact expressions for the bit error rate (BER) for single relay maximum likelihood (ML) decode and forward (DF) cooperative systems in Nakagami-m fading for binary phase shift keying (BPSK). This is done by expressing the ML decision variable in terms of functions of gamma CG random variables. For the piecewise linear (PL) approximation to the ML detector, a closed form expression for the BER is obtained. Simulation results are provided to verify the validity of the derived analytical expressions.

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IITH Creators:
IITH CreatorsORCiD
Item Type: Article
Uncontrolled Keywords: Cooperative diversity; gamma conditionally Gaussian; ML; Nakagami-m fading
Subjects: Physics > Electricity and electronics
Divisions: Department of Electrical Engineering
Depositing User: Team Library
Date Deposited: 25 Nov 2014 08:10
Last Modified: 25 Nov 2014 08:10
URI: http://raiithold.iith.ac.in/id/eprint/953
Publisher URL: http://dx.doi.org/10.1109/TWC.2010.111910.091690
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