- Research Article
- Open Access
Performance Analysis of SSC Diversity Receiver over Correlated Ricean Fading Channels in the Presence of Cochannel Interference
© Srđan Jovković. 2010
- Received: 16 February 2010
- Accepted: 19 April 2010
- Published: 24 May 2010
In this paper an approach to the performance analysis of a dual-branch switched-and-stay combining (SSC) diversity receiver, operating over interference-limited Ricean correlated fading environment, is presented. Infinite series expressions are obtained for the output signal-to-interference 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 frequency-shift keying (NCFSK) and binary differentially phase-shift 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.
- Probability Density Function
- Fading Channel
- Outage Probability
- Modulation Scheme
- Cochannel Interference
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 switch-and-stay 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 signal-to-interference ratio (SIR) drops below a predetermined threshold (SIR-based 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 Nakagami-m, Rice, Rayleigh, - , and Weibull. The Rician fading distribution is often used to model propagation paths, consisting of one strong direct line-of-sight (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 , clear-state  channel conditions. Then the Rician fading is applicable for modeling the fading channels in frequency domain . Also the Rician K factor characterizes the land mobile satellite channel, during unshadowed periods . 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 .
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 dual-branch switched-and-stay combining (SSC) diversity receiver, operating over correlated - fading in the presence of cochannel interference (CCI) derived in . This analysis has a high level of generality because - fading distribution model includes as special cases, other important distributions such as Weibull and Nakagami-m (therefore the one-sided 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  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 , but without the consideration of CCI effects. Reference  studies the performance of a dual-branch SSC diversity receiver with the switching decision based on SIR, operating over correlated Ricean fading channels in the presence of correlated Nakagami-m distributed CCI. Moreover to the best of the author's knowledge, no analytical study of switch-and-stay 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 frequency-shift keying (NCFSK) and binary differentially phase-shift 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.
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).
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.
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 infinite-series 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.
- Simon MK, Alouini MS: Digital Communication over Fading Channels. 2nd edition. John Wiley and sons, New York, NY, USA; 2005.Google Scholar
- Lee WCY: Mobile Communications Engineering. Mc-Graw-Hill, New York, NY, USA; 2001.Google Scholar
- Stuber GL: Mobile Communication. 2nd edition. Kluwer Academic Publishers, Boston, Mass, USA; 2001.Google Scholar
- Corazza GE, Vatalaro F: A statistical model for land mobile satellite channels and its application to no geostationary orbit systems. IEEE Transactionson Vehicular Technology 1994, 43(3, part 2):738-742. 10.1109/25.312773View ArticleGoogle Scholar
- Wakana H: A propagation model for land mobile satellite communications. Proceedings of the Antennas and Propagation Society Symposium, June 1991, London, Canada 3: 1526-1529.Google Scholar
- Witrisal K, Kim Y-H, Prasad R: A new method to measure parameters of frequency-selective radio channels using power measurements. IEEE Transactions on Communications 2001, 49(10):1788-1800. 10.1109/26.957401View ArticleMATHGoogle Scholar
- Lutz E, Cygan D, Dippold M, Dolainsky F, Papke W: The land mobile satellite communication channel—recording, statistics, and channel model. IEEE Transactions on Vehicular Technology 1991, 40(2):375-386. 10.1109/25.289418View ArticleGoogle Scholar
- Zogas D, Karagiannidis G, Kostopoulos S: Equal gain combining over nakagami-n (rice) and nakagami-q (hoyt) generalized fading channels. IEEETranaactions on Wireless Communications 2005, 4(2):374-379.View ArticleGoogle Scholar
- Zogas DA, Karagiannidis GK: Infinite-series representations associated with the bivariate Rician distribution and their applications. IEEE Transactions on Communications 2005, 53(11):1790-1794. 10.1109/TCOMM.2005.858659View ArticleGoogle Scholar
- Bithas PS, Karagiannidis GK, Sagias NC, Zogas DA, Mathiopoulos PT: Dual-branch diversity receivers over correlated Rician fading channels. Procedings of the IEEE Vehicular Technology Conference, 2005, Stocholm, Sweden 4: 2642-2646.Google Scholar
- Mosić AV, Stefanović MC, Panić SR, Panajotović AS: Performance analysis of dual-branch selection combining over correlated Rician fading channels for desired signal and cochannel interference. Wireless Personal Communications. In pressGoogle Scholar
- Spalevic P, Panic S, Dolicanin C, Stefanovic M, Mosic A:SSC diversity receiver over correlated fading channels in the presence of co-channel interference. EURASIP Journal on Wireless Communications and Networking, accepted for publicationGoogle Scholar
- Abu-Dayya AA, Beaulieu NC: Switched diversity on microcellular Ricean channels. IEEE Transactions on Vehicular Technology 1994, 43(4):970-976. 10.1109/25.330159View ArticleGoogle Scholar
- Bithas PS, Mathiopoulos PT: Performance analysis of SSC diversity receivers over correlated ricean fading satellite channels. EURASIP Journal on Wireless Communications and Networking 2007, 2007:-9.Google Scholar
- Bithas PS, Mathiopoulos PT, Karagiannidis GK: Switched diversity receivers over correlated weibull fading channels. Proceedings of the International Workshop on Satellite and Space Communications (IWSSC '06), 2006, Leganes, Spain 143-147.Google Scholar
- Bandjur DV, Stefanovic MC, Bandjur MV: Performance analysis of SSC diversity receivers over correlated Ricean fading channels in the presenceof co-channel interference. Electronic letters 2008, 44(9):587-588. 10.1049/el:20080270View ArticleGoogle Scholar
- Panić SR, Stefanović MČ, Mosić AV:Performance analyses of selection combining diversity receiver over fading channels in the presence of co-channel interference. IET Communications 2009, 3(11):1769-1777. 10.1049/iet-com.2009.0023View ArticleGoogle Scholar
- Karagiannidis GK: Performance analysis of SIR-based dual selection diversity over correlated Nakagami-m fading channels. IEEE Transactions on Vehicular Technology 2003, 52(5):1207-1216. 10.1109/TVT.2003.816612View ArticleGoogle Scholar
- Ko Y-C: Analysis and optimization of switched diversity systems. IEEE Transactions on Vehicular Technology 2000, 49(5):1813-1831. 10.1109/25.892586View ArticleGoogle Scholar
- Gradshteyn I, Ryzhik I: Tables of Integrals, Series, and Products. Academic Press, New York, NY, USA; 1980.MATHGoogle Scholar
This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.