Accurate closed-form approximations to generalised-K sum distributions and applications in the performance analysis of equal-gain combining receivers
Accurate closed-form approximations to generalised-K sum distributions and applications in the performance analysis of equal-gain combining receivers
- Author(s): K.P. Peppas
- DOI: 10.1049/iet-com.2010.0224
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- Author(s): K.P. Peppas 1
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View affiliations
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Affiliations:
1: Laboratory of Mobile Communications, Institute of Informatics and Telecommunications, National Centre for Scientific Research ‘Demokritos’, Patriarhou Grigoriou and Neapoleos, Athens, Greece
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Affiliations:
1: Laboratory of Mobile Communications, Institute of Informatics and Telecommunications, National Centre for Scientific Research ‘Demokritos’, Patriarhou Grigoriou and Neapoleos, Athens, Greece
- Source:
Volume 5, Issue 7,
4 May 2011,
p.
982 – 989
DOI: 10.1049/iet-com.2010.0224 , Print ISSN 1751-8628, Online ISSN 1751-8636
In this study, highly accurate closed-form approximations to the probability density function of the sum of independent identically distributed (i.i.d.) generalised-K fading envelopes are derived. These approximations are valid for a wide range of values of the distribution parameters and number of summands. Based on the previously derived formulas, simple precise approximations for the outage probability and the average bit error probability of equal-gain combining receivers operating on i.i.d. generalised-K fading channels are proposed. Extensive numerically evaluating and computer simulation results are presented to demonstrate the proposed analysis.
Inspec keywords: fading channels; receivers; probability; approximation theory
Other keywords:
Subjects: Other topics in statistics; Interpolation and function approximation (numerical analysis); Radio links and equipment
References
-
-
1)
- B.C. Armstrong , H.D. Griffiths . CFAR detection of fluctuating targets in spatially correlated k-distributed clutter. IEE Proc. Radar Sonar Navig. , 2 , 139 - 152
-
2)
- A. Abdi , M. Kaveh . K distribution: an appropriate substitute for Rayleigh-lognormal distribution in fading-shadowing wireless channels. Electron. Lett. , 9 , 851 - 852
-
3)
- F.J. Massey . The Kolmogorov–Smirnov test for goodness of fit. J. Am. Stat. Assoc. , 253 , 68 - 78
-
4)
- N. Zlatanov , Z. Hadzi-Velkov , G.K. Karagiannidis . An efficient approximation to the correlated Nakagami-m sums and its application in equal gain diversity receivers. IEEE Trans. Wirel. Commun. , 1 , 302 - 310
-
5)
- Chatzidiamantis, N.D., Karagiannidis, G.K., Michalopoulos, D.S.: `On the distribution of the sum of gamma-gamma variates and application in MIMO optical wireless systems', IEEE Global Telecommunications Conf. (GLOBECOM.09), 30 November – 4 December 2009, Hawai, USA.
-
6)
- P.M. Shankar . Performance analysis of diversity combining algorithms in shadowed fading channels. Wirel. Pers. Commun. , 61 - 72
-
7)
- Y. Karasawa , K. Kimura , K. Minamisono . Analysis of availability improvement in LMSS by means of satellite diversity based on three-state propagation channel model. IEEE Trans. Veh. Technol. , 1047 - 1056
-
8)
- J.C.S.S. Filho , M.D. Yacoub . Highly accurate η–μ approximation to sum of m independent non-identical Hoyt variates. IEEE Antennas Wirel. Propag. Lett. , 436 - 438
-
9)
- J. Hu , N.C. Beaulieu . Accurate closed-form approximations to Ricean sum distributions and densities. IEEE Commun. Lett. , 2 , 133 - 135
-
10)
- I.M. Kostic . Analytical approach to performance analysis for channel subject to shadowing and fading. IEE Proc. , 6 , 821 - 827
-
11)
- A. Abdi , W.C. Lau , M.-S. Alouini , M. Kaveh . A new simple model for land mobile satellite channels: First and second order statistics. IEEE Trans. Wirel. Commun. , 3 , 519 - 528
-
12)
- E. Bayaki , R. Schober , R. Mallik . Performance analysis of MIMO free-space optical systems in gamma-gamma fading. IEEE Trans. Commun. , 11 , 3415 - 3424
-
13)
- S. Al-Ahmadi , H. Yanikomeroglu . On the approximation of the generalised-K distribution by a gamma distribution for modeling composite fading channels. IEEE Trans. Wireless Commun. , 2 , 706 - 713
-
14)
- J. Reig , N. Cardona . Nakagami-m approximate distribution of sum of two Nakagami-m correlated variables. Electron. Lett. , 11 , 978 - 980
-
15)
- K. Peppas . Performance evaluation of triple-branch GSC diversity receivers over generalized-K fading channels. IEEE Commun. Lett. , 11 , 829 - 831
-
16)
- D.J. Lewinsky . Nonstationary probabilistic target and clutter scattering models. IEEE Trans. Antennas Propag. , 3 , 490 - 498
-
17)
- A.P. Prudnikov , Y.A. Brychkov , O.I. Marichev . (1986) Integrals and series volume 3: more special functions.
-
18)
- J.C.S.S. Filho , M.D. Yacoub . Simple precise approximations to Weibull sums. IEEE Commun. Lett. , 8 , 614 - 616
-
19)
- D.B. da Costa , M.D. Yacoub . Accurate approximations to the sum of generalized random variables and applications in the performance analysis of diversity systems. IEEE Trans. Commun. , 5 , 1271 - 1274
-
20)
- T.M. Cover , J.A. Thomas . (2006) Elements of information theory.
-
21)
- D.B. da Costa , M.D. Yacoub , J.C.S.S. Filho . Highly accurate closed-form approximations to the sum of α–μ variates and applications. IEEE Trans. Wirel. Commun. , 9 , 3301 - 3306
-
22)
- J.C.S. Santos Filho , M.D. Yacoub . Nakagami-m approximation to the sum of M non-identical independent Nakagami-m variates. Electron. Lett. , 15 , 951 - 952
-
23)
- P.S. Bithas , N.C. Sagias , P.T. Mathiopoulos , G.K. Karagiannidis , A.A. Rontogiannis . On the performance analysis of digital communications over generalised-K fading channels. IEEE Commun. Lett. , 5 , 353 - 355
-
24)
- I.S. Gradshteyn , I.M. Ryzhik . (2000) Tables of integrals, series, and products.
-
25)
- N.D. Chatzidiamantis , G.K. Karagiannidis . On the distribution of the sum of gamma-gamma variates and applications in RF and optical wireless communications.
-
26)
- M.K. Simon , M.S. Alouini . (2005) Digital communication over fading channels.
-
27)
- M. Shwartz , W.R. Bennett , S. Stein . (1966) Communication systems and techniques.
-
1)