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Wireless Personal Communications

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01-01-2014

Impact of Imperfect Channel Information on the Performance of Underlay Cognitive DF Multi-hop Systems

Author: Khuong Ho-Van

Published in: Wireless Personal Communications | Issue 2/2014

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Abstract

This paper presents an analysis framework for performance evaluation of underlay cognitive decode-and-forward (DF) multi-hop systems over Rayleigh fading channel under imperfect channel information. Specifically, we derive the exact closed-form bit error rate (BER) and interference probability (i.e., the probability that the interference power constraint is invalid) expressions. The derived expressions are well supported by simulations and serve as useful tools for fast system performance evaluation under different aspects. To reduce the interference probability, we consider the back-off power control mechanism. Various results demonstrate the effect of channel information imperfection on the system performance and the trade-off between the interference probability and BER. Also, the performance of underlay cognitive DF multi-hop systems depends both network topology and the number of hops.

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Khuong and Bao [14] only derives the approximate closed-form BER expression.

\(h \sim \mathcal CN (m,v)\) denotes a \(m\)-mean circular symmetric complex Gaussian random variable with variance \(v\).

The CSI imperfection model in [15] and [16] is \({\hat{h}_{tr}} = {\rho _{tr}}{h_{tr}} + \sqrt{1 - \rho _{tr}^2} {\varepsilon _{tr}}\) where \(\rho _{tr}\) is the correlation coefficient between \(\hat{h}_{tr}\) and \(h_{tr}\).

The average BER of other modulation schemes such as \(M\)-PSK can be derived in the same approach.

The study of channel estimators is outside the scope of this paper. Therefore, the selection of \(B_{t,training}\) in this paper is just an example to demonstrate the effect of CSI imperfection on BER of underlay cognitive relay systems.

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Title: Impact of Imperfect Channel Information on the Performance of Underlay Cognitive DF Multi-hop Systems
Author: Khuong Ho-Van
Publication date: 01-01-2014
Publisher: Springer US
Published in: Wireless Personal Communications / Issue 2/2014
Print ISSN: 0929-6212
Electronic ISSN: 1572-834X
DOI: https://doi.org/10.1007/s11277-013-1301-y

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