TRANSACTIONS ON EMERGING TELECOMMUNICATIONS TECHNOLOGIES
Trans. Emerging Tel. Tech. 2012; 23:334–340
Published online 9 December 2011 in Wiley Online Library (wileyonlinelibrary.com). DOI: 10.1002/ett.1538
RESEARCH ARTICLE
Average level crossing rate of microcellular mobile
radio system with selection combining in the
presence of arbitrary number of cochannel
interferences
Aleksandra Panajotovi´ c, Mihajlo Stefanovi ´ c, Dragan Draˇ ca and Nikola Sekulovi´ c*
Faculty of Electronic Engineering, Telecommunications, Nis, Serbia
ABSTRACT
This paper provides an exact and rapidly converging infinite-series expression for the average level crossing rate of dual
selection combining receiver in a communication system with a Rician desired signal affected by multiple Nakagami-m
cochannel interferences. The branch selection is based on the desired signal power algorithm with input signals assumed
to be correlated because of insufficient distance between diversity branches. The proposed mathematical analysis is com-
plemented by various numerical results showing the effects of various system’s parameters. Copyright © 2011 John Wiley
& Sons, Ltd.
KEY WORDS
cochannel interference; correlation; average level crossing rate; Rician fading; selection combining diversity
*Correspondence
Nikola Sekulovi´ c, Faculty of Electronic Engineering, Telecommunications, Nis, Serbia.
E-mail: nikola.sekulovic@elfak.rs
Received 11 August 2010; Revised 7 June 2011; Accepted 7 October 2011
1. INTRODUCTION
System performance degraded by severe fading can be
improved by increasing the transmitter power, bandwidth,
antenna size, and height, etc., but these solutions are
costly and sometimes impractical. Diversity techniques
provide wireless link performance improvement at rel-
atively low cost [1]. Among several types of diversity
techniques, selection combining (SC) is the least com-
plicated because processing is performed only on one
of the diversity branches. Traditionally, the SC receiver
chooses the branch with the highest signal-to-noise ratio
(SNR), which corresponds to the strongest signal if equal
noise power is assumed among the branches [2]. However,
in interference-limited fading environment as in cellular
communications system where the level of the cochannel
interference (CCI) is sufficiently high compared with the
thermal noise, three different decision algorithms can be
applied: the desired signal power algorithm, the total sig-
nal power algorithm, and the signal-to-interference power
ratio (SIR) algorithm. In [3], Yang and Alouini compared
the performance of different SC algorithms in the presence
of CCI. They showed that of the three applied algorithms,
the SIR algorithm provides the best performance for
interference-limited systems in the sense of the outage
probability (OP) and the average fade duration (AFD), but
it almost provides the worst performance for the average
level crossing rate (LCR), which is considered in this paper.
Also, it is the most complex to implement. The desired sig-
nal power algorithm requires identification and separation
of the desired signal and the CCI (which can be achieved
using different pilots with each of them [4]), and the total
signal power algorithm is the most practical to implement.
Furthermore, desired and total signal power algorithms
have nearly the same performance for all three previously
mentioned performance criteria [3, 5, 6]. For the purpose
of analytical tractability, we adopted the desired signal
power algorithm and reasonably assumed that obtained
results may also closely indicate the performance of the
total power algorithm [7].
Outage probability is commonly used as an impor-
tant performance metric of various diversity techniques
with/without CCI and over independent or correlated
channels [3, 5, 6, 8, 9]. However, in certain applications
such as in adaptive transmission, OP does not provide
enough information for the overall system design and
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Copyright © 2011 John Wiley & Sons, Ltd.