 Research Article
 Open Access
Performance Analysis of SSC Diversity Receiver over Correlated Ricean Fading Channels in the Presence of Cochannel Interference
 Srđan Jovković^{1},
 Stefan R. Panić^{2}Email author,
 Mihajlo Č. Stefanović^{2},
 Petar Ć. Spalević^{3} and
 Dragana S. Krstić^{2}
https://doi.org/10.1155/2010/583093
© Srđan Jovković. 2010
 Received: 16 February 2010
 Accepted: 19 April 2010
 Published: 24 May 2010
Abstract
In this paper an approach to the performance analysis of a dualbranch switchedandstay combining (SSC) diversity receiver, operating over interferencelimited Ricean correlated fading environment, is presented. Infinite series expressions are obtained for the output signaltointerference ratio's (SIR) probability density function (PDF) and cumulative distribution function (CDF). Using these new formulae, the outage probability (OP) and the average symbol error probability (ASEP) for modulation schemes such as noncoherent frequencyshift keying (NCFSK) and binary differentially phaseshift keying (BDPSK) are efficiently evaluated. Numerical results, presented into this paper, are graphically presented and analyzed, in order to point out the effects of fading severity and the level of correlation on the system performances.
Keywords
 Probability Density Function
 Fading Channel
 Outage Probability
 Modulation Scheme
 Cochannel Interference
1. Introduction
Space diversity reception, based on using multiple antennas at the reception, is being widely considered as a very efficient technique for mitigating fading and cochannel interference (CCI) effects and improving offered quality of service (QoS) in wireless communication systems. Various techniques for reducing the fading effects and the influence of the cochannel interference (CCI) are used in wireless communication systems [1–3]. Depending on the complexity restriction put on the communication system and the amount of channel state information available at the receiver, several principal types of space diversity techniques can be performed.
However, the least complex space diversity reception technique that can be used in conjunction with coherent, noncoherent, and differentially coherent modulation schemes and has application in many real life communication scenarios is switchandstay combining (SSC) technique. In fading environments as in cellular systems, where the level of CCI is sufficiently high as compared to the thermal noise, SSC selects a particular branch until its signaltointerference ratio (SIR) drops below a predetermined threshold (SIRbased switched diversity). Then the combiner switches to another branch and stays there regardless of SIR of that branch. This type of diversity can be easily performed, because SIR value is simply measurable in real time, by using specific SIR estimators, in base stations (uplink), mobile stations (downlink) and digital wireless systems.
In communications systems analysis a few statistical models are used to describe fading in wireless environments. The most frequently used distributions are Nakagamim, Rice, Rayleigh,  , and Weibull. The Rician fading distribution is often used to model propagation paths, consisting of one strong direct lineofsight (LoS) signal and many randomly reflected and usually weaker signals. Such fading environments are typically encountered in microcellular and mobile satellite radio links. In particular, for mobile satellite communications, the Rician distribution is used to accurately model the mobile satellite channel for single [4], clearstate [5] channel conditions. Then the Rician fading is applicable for modeling the fading channels in frequency domain [6]. Also the Rician K factor characterizes the land mobile satellite channel, during unshadowed periods [7]. The diversity reception over Rician fading channels was previously discussed in [8–11]. The system performances of dual selection combining (SC) over correlated Rician channels are in the presence of CCI analyzed in [11].
There are a number of papers concerning performance analysis of SSC receivers, for example [12–16] Very useful, novel, infinite series expressions are obtained for the output SIR probability density function (PDF) and cumulative distribution function (CDF) of a dualbranch switchedandstay combining (SSC) diversity receiver, operating over correlated  fading in the presence of cochannel interference (CCI) derived in [12]. This analysis has a high level of generality because  fading distribution model includes as special cases, other important distributions such as Weibull and Nakagamim (therefore the onesided Gaussian and Rayleigh are also special cases of it). However the  fading model cannot be reduced only to Ricean fading model, so the analysis from [12] cannot be used for the physical scenario when strong direct (LoS) signal component is present. The performance analysis of the SSC diversity receivers, operating over correlated Ricean fading satellite channels, can be found in [14], but without the consideration of CCI effects. Reference [16] studies the performance of a dualbranch SSC diversity receiver with the switching decision based on SIR, operating over correlated Ricean fading channels in the presence of correlated Nakagamim distributed CCI. Moreover to the best of the author's knowledge, no analytical study of switchandstay combining involving assumed correlated Ricean fading for both desired signal and cochannel interference has been reported in the literature.
In this paper, an approach to the performance analysis of given SSC diversity receiver over correlated Rician fading channels, in the presence of correlated CCI, is presented. In order to study the effectiveness of any modulation scheme and the type of diversity used, it is required to evaluate the system's performance over the channel conditions. Infinite series expressions for PDF and CDF of the output SIR for SSC diversity are derived. Furthermore, important performance measures, such as outage probability (OP) and Average Symbol Error Probability (ASEP) for several modulation schemes such as noncoherent frequencyshift keying (NCFSK) and binary differentially phaseshift keying (BDPSK) are efficiently evaluated and shown graphically for different system parameters in order to point out the effects of fading severity and the level of correlation on the system performances.
2. System Model and Received Statistics
It is important to quote that and , defined as and , denote the average powers of desired and interference signals, respectively. and are the modified Bessel function of the first kind of the th and th order. , known as Ricean factor, defines ratio of signal power in dominant component of desired signal over the scattered power while is, similarly, Ricean factor of the interference signal. and are defined as for and for and similarly for and for . Finally, with r the correlation coefficients are denoted.
Number of terms of (10) required for the 5th significant digit accuracy ( dB).







 








3. Outage Probability
It can be observed from that figure that OP deteriorates with decrease of the Rice factor . Also, presented results show branch correlation influence on the OP. Namely, when correlation coefficients r increas, OP increases.
4. Average Symbol Error Probability
5. Conclusion
The system performances of dual SSC system over correlated Rician fading channels in the presence of correlated CCI are analyzed. Crucial statistics metrics for the SSC output SIR are given in the infiniteseries form, that is, PDF and CDF. Capitalizing on this, outage probability and average symbol error probability have been obtained and graphically presented, describing their dependence on the correlation coefficient and the fading severity. The main contribution of this paper is analytical study of dual SSC diversity system assuming, for the first time, correlated Rician fading for both desired signal and interference.
Declarations
Authors’ Affiliations
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