AUTHORS: Dragana Krstić, Ivan Vulić, Mihajlo Stefanović
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ABSTRACT: In this work, the ratio of product of two Nakagami-m random processes and Nakagami-m random process (RP) is analyzed. Statistical characteristics of ratio of product of two RPs and RP is applied in performance analysis of relay communication systems with two sections operating in multipath fading channel in the presence of co-channel interference. Here, multipath fading is with Nakagami-m distribution, and cochannel interference is exposed to the influence of Nakagami-m small scale fading. Level crossing rate (LCR) of defined ratio is obtained using some useful mathematical manipulations and formulas. The influence of fading parameters and signal powers on the LCR is assessed based on some plotted graphs. By selection of the channel parameters, the system performance could be improved and higher reliability of wireless links achieved, what is important for command information systems.
KEYWORDS: Nakagami-m fading, co-channel interference, random process, level crossing rate, command information systems
REFERENCES:
[1] S. Panic, M. Stefanovic, J. Anastasov,
P.Spalevic, Fading and Interference Mitigation
in Wireless Communications, USA: CRC Press,
2013.
[2] W. C. Y. Lee, Mobile Communications
Engineering, 2nd ed., McGraw-Hill, New
York, 1997.
[3] G. L. Stuber, Mobile Communication, 2nd ed.
Dordrecht: Kluwer Academic Publisher, 2003.
[4] D. Krstić, M. Stefanović, M. Peric, and S.
Minic, “Analysis of ratio of one and product of
two Rayleigh random variables and its
application in telecommunications”,
International Journal of Communications,
vol. 3, 2018, pp. 32-38.
[5] N. Zlatanov, Z. Hadzi-Velkov, G. K.
Karagiannidis, Level Crossing Rate and
Average Fade Duration of the Double
Nakagami-m Random Process and Application
in MIMO Keyhole Fading Channels, IEEE
Communications Letters, Vol. 12, No. 11,
November 2008, pp. 822-824.
[6] Z. Hadzi-Velkov, N. Zlatanov, K. G.
Karagiannidis, On the second order statistics of
the multihop Rayleigh fading channel, IEEE
Transactions on Communications, vol. 57, No.
6, June 2009, pp. 1815–1823, DOI:
10.1109/TCOMM.2009.06.070460.
[7] G. K. Karagiannidis, T. A. Tsiftsis, R. K.
Mallik, N. C. Sagias, S. A. Kotsopoulos,
Closed-form bounds for multihop relayed
communications in Nakagami-m fading, IEEE
Transactions on Communications, vol. 54,
January 2006, pp. 18–22.
[8] G. Karagiannidis, S. Nikos, and M. Takis,
N*Nakagami: a novel stochastic model for
cascaded fading channels, IEEE Transactions
on Communications, vol. 55, no. 8, 2007, pp.
1453–1458.
[9] S. Ahmed, L. L. Yang, L. Hanzo, Probability
distributions of products of Rayleigh and
Nakagami-m variables using Mellin transform,
IEEE International Conference on
Communications, ICC 2011, 05 Jun - 09 Jun
2011, Kyoto, Japan
[10] D. Krstić, M. Stefanović, Z. Jovanović,
R.Gerov, V. Milenković, Statistical
Characteristic of Ratio and Product of Rician
Random Variables and its Application in
Analysis of Wireless Communication
Systems”, International Journal of
Mathematical and Computational Methods,
vol. 1, 2016, pp. 79-86.
[11] D. Krstic, M. Stefanovic, M. Głąbowski, M.
Peric, Level Crossing Rate of Ratio of Product
of Two Rayleigh and One Nakagami-m
Random Variable and of Ratio of Rayleigh and
Product of Two Nakagami-m Random
Variables, 11th IEEE/IET International
Symposium on Communication Systems,
Networks and Digital Signal Processing,
CSNDSP18, Budapest, Hungary, 18th to 20th
July 2018, doi:10.1109/csndsp.2018.8471843
[12] D. Krstić, I. Romdhani, M. Masadeh Bani
Yassein, S. Minić, G. Petković, P. Milačić,
Level Crossing Rate of Ratio of Product of
Two k-μ Random Variables and Nakagami-m
Random Variable, 2015 IEEE International
Conference on Computer and Information
Technology; Ubiquitous Computing and
Communications; Dependable, Autonomic and
Secure Computing; Pervasive Intelligence and
Computing, 26-28 Oct. 2015, Liverpool, UK,
DOI: 10.1109/CIT/IUCC/DASC/PICOM.2015.
244
[13] D. Krstić, M. Stefanović, N. Simić, A.
Stevanović, The Level Crossing Rate of the
Ratio of Product of Two k-µ Random Variables
and k-µ Random Variable, 13th WSEAS
International Conference on Electric Power
Systems, High Voltages, Electric Machines
(POWER '13), Chania, Crete Island, Greece,
August 27-29, 2013, pp. 153-158.
[14] D. Krstić, M. Stefanović, V. Milenković, Dj.
Bandjur, Level Crossing Rate of Ratio of
Product of Two α-k-µ Random Variables and
α-k-µ Random Variable, WSEAS Transaction
on Communications, Vol. 13, 2014, Art#68, pp.
622-630.
[15] M. Nakagami, The m-distribution: A general
formula of intensity distribution of rapid
fading, in W. C. Hoffman (ed.), Statistical
Methods in Radio Wave Propagation:
Proceedings of a Symposium held June 18–20,
1958. Pergamon Press, New York, 1960, pp. 3–
36.
[16] M. D. Yacoub, J. E. Vargas Bautista, L. Guerra
de Rezende Guedes, On Higher Order Statistics
of the Nakagami-m Distribution, IEEE
Transactions on Vehicular Technology, Vol.
48, No. 3, May 1999, pp. 790-794.
[17] T. S. Rappaport, Wireless Communications
Principles and Practice, Second Edition,
Beijing Publishing House of Electronics
Industry 2004, 3, pp. 1-707.
[18] M. Abramowitz, I. A. Stegun, Handbook of
mathematical functions, National Bureau of
Standards, 1964; reprinted Dover Publications,
1965.
[19] J. L. Lopez and P. J. Pagola, A simplification
of the Laplace method for double integrals.
Application to the second Appell function,
Electronic Transactions on Numerical Analysis,
vol. 30, pp. 224-236, 2008.
[20] Z. Cao and Y. D. Yao, Definition and drivation
of level crossing rate and average fade duration
in an interference-limited environment, IEEE
54th Vehicular Technology Conference, VTC
Fall 2001, 7-11 Oct. 2001, Atlantic City, NJ,
USA, DOI: 10.1109/VTC.2001.956470.