Macrodiversity (MACD) system with MACD selection combining (SC) receiver and two microdiversity (MICD) selection receivers in the presence of Gamma long-term fading, Rayleigh short-term fading, and co-channel interference affected to Rician short-term fading is studied in this article. The closed-form expressions for probability density function (PDF) and cumulative distribution function (CDF) of the ratio of Rayleigh random variable and Rician random variable are presented, and probability density function and cumulative distribution function of MICD SC receiver output signal to interference ratio are derived. These results are used for evaluation of the outage probability (P out) of considered MACD system, and the influence of Rician factor and Gamma long-term fading severity parameter on the outage probability is analyzed.
This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Tax calculation will be finalised during checkout.
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
Tax calculation will be finalised during checkout.
Panić S, Stefanović M, Anastasov J, Spalević P (2013) Fading and interference mitigation in wireless communications. Taylor & Francis Publishing group, CRC Press, New York, ISBN 978-146-65-0841-5
Jakšić BS (2015) Level crossing rate of macrodiversity SC receiver with two microdiversity SC receivers over Gamma shadowed multipath fading channel. Facta Universitatis Ser Autom Control Robot 14(2):87–98
Petković G, Panić S, Jakšić B (2016) Level crossing rate of macrodiversity with three microdiversity SC receivers over Gamma shadowed Nakagami-m channel. Univ Thought Publ Nat Sci 6(1):55–59. doi:10.5937/univtho6-9797
Stefanović D, Panić S, Spalević P (2011) Second-order statistics of SC macrodiversity system operating over Gamma shadowed Nakagami-m fading channels. AEU Int J Electron Commun 65(5):413–418. doi:10.1016/j.aeue.2010.05.001
Cvetković AD, Stefanović MČ, Sekulović NM, Milić DN, Stefanović D M Popović ZJ (2011). Second-order statistics of dual SC macrodiversity system over channels affected by Nakagami-m fading and correlated gamma shadowing. Przegląd Elektrotechniczny (Electrical Review), ISSN 0033-2097, R. 87 NR 6/2011, pp. 284-288
Jaksic B, Stefanović D, Stefanović M, Spalevic P, Milenkovic V (2015) Level crossing rate of macrodiversity system in the presence of multipath fading and shadowing. Radioengineering 24(1):185–191. doi:10.13164/re.2015.0185
Milenkovic V, Sekulovic N, Stefanović M, Petrovic M (2010) Effect of microdiversity and macrodiversity on average bit error probability in Gamma shadowed Rician fading channels. ETRI J 32(3):464–467
Sekulovic N, Stefanović M (2012) Performance analysis of system with micro- and macrodiversity reception in correlated Gamma shadowed Rician fading channels. Wirel Pers Commun 65(1):143–156
Panic SR, Stefanovic DM, Petrovic IM, Stefanovic MC, Anastasov JA, Krstic DS (2011) Second order statistics of selection macro-diversity system operating over Gamma shadowed k-μ fading channels. EURASIP J Wirel Commun N 2011:151, Article ID 631204. doi:10.1186/1687-1499-2011-151
Krstic D, Doljak V, Stefanovic M, Jakšic B (2016) Second order statistics of macrodiversity SC receiver output signal over Gamma shadowed K-μ multipath fading channel, Proc. Of the first international conference on broadband communications for next generation networks and multimedia applications (CoBCom 2016), Graz, Austria, 14th–16th of September 2016, pp. 1–6, DOI: 10.1109/COBCOM.2016.7593496
Đošić DB, Stefanović ČM, Stefanović DM (2016) Level crossing rate of macro-diversity system with two micro-diversity SC receivers over correlated Gamma shadowed α–μ multipath fading channels. IETE J Res 62(2):140–145. doi:10.1080/03772063.2015.1075913
Milić DN, Đošić DB, Stefanović ČM, Smilić MM, Suljović SN (2015) Outage performance of multi-branch SC receiver over correlated Weibull channel in the presence of correlated Rayleigh co-channel interference. Facta Universitatis Ser Autom Control Robot 14(3):183–191
Krstić D, Stefanović M, Milenkovic V, Radenkovic D, Ivanov H, Leitgeb E (2016) Performance of wireless system in the presence of k-μ multipath fading, Gamma Shadowing and k-μ Cochannel Interference Proc of IEICE Information and Communication Technology Forum 2016, The 2016 IEICE ICTF Patras, Greece, 6th of July- 8th of July 2016
Panajotovic AS, Stefanovic MC, Draca DL (2009) Effect of microdiversity and macrodiversity on average bit error probability in shadowed fading channels in the presence of interference. ETRI J 31(5):500–505. doi:10.4218/etrij.09.0109.0011
Trigui I, Laourine A, Affes S, Stéphenne A (2009) Performance analysis of mobile radio systems over composite fading/shadowing channels with co-located interference. IEEE Trans Wirel Commun 8(7):3448–3453
Stefanovic D, Stefanovic C, Rancic D, Stefanovic M (2016) Outage probability of macrodiversity system in the presence of Gamma long term fading, Rayleigh short term fading and Nakagami-m CCI, Proc. Of the eighth international conference on ubiquitous and future networks (ICUFN 2016), Vienna, Austria, 5–8 July 2016, pp. 259–263, DOI: 10.1109/ICUFN.2016.753702
Aleksić D, Krstić D, Popović Z, Stefanović M (2016) Level crossing rate of macrodiversity SC receiver output process in the presence of Weibull short term fading, Gamma long term fading and Weibull co-chanell interference. WSEAS Trans Commun. 15, art. #31, pp. 285-291
Witrisal K, Kim YH, Prasad R (2001) A new method to measure parameters of frequency selective radio channels using power measurements. IEEE Transaction on Communications, ISSN: 0090–6778 49:1788–1800
Gradshteyn I, Ryzhik I (1980) Tables of integrals, series, and products. Academic Press, New York
Stüber GL (1996) Principles of mobile communications. Kluwer Academic Publishers, Massachusetts
Xekalaki E, Panaretos J, Psarakis S (2003) A predictive model evaluation and selection approach—the correlated gamma ratio distribution, stochastic musings: perspectives from the pioneers of the late 20th century, J. Panaretos, Ed., Mahwah, NJ: Lawrence Erlbaum associates, pp. 188-202
Abdi A, Lau WC, Alouini MS, Kaveh M (2003) A new simple model for land mobile satellite channels: first- and second-order statistics. IEEE Trans Commun, ISSN: 0090–6778 2:519–528
Holzapfel RP, Uludag AM, & Yoshida, M. (2005). Arithmetic and geometry around hypergeometric functions, lecture notes of a CIMPA summer school held at Galatasaray University, Istanbul, ISBN: 978-3-7643-8283-4, Birkhauser Verlag AG, Basel—Boston—Berlin, p.23
Ben Cheikh Battikh, D. (2012). Outage probability formulas for cellular networks: contributions for MIMO, CoMP and time reversal features. Telecom ParisTech. English. https://tel.archives-ouvertes.fr/pastel-00790614/document
This paper is partially supported under projects TR-33035 and III-44006 of the Ministry of Education, Science and Technological Development of Republic of Serbia.
Conflict of interest
The authors declare that they have no conflict of interest.
About this article
Cite this article
Krstić, D., Suljović, S., Milić, D. et al. Outage probability of macrodiversity reception in the presence of Gamma long-term fading, Rayleigh short-term fading and Rician co-channel interference. Ann. Telecommun. 73, 329–339 (2018). https://doi.org/10.1007/s12243-017-0593-4
- Gamma long-term fading
- Rayleigh short-term fading
- Rician co-channel interference
- Cumulative distribution function (CDF)
- Probability density function (PDF)
- Outage probability (P out)