Skip to main content
Erschienen in: Wireless Personal Communications 3/2015

01.08.2015

A New Nakagami-m Inverse CDF Approximation Based on the Use of Genetic Algorithm

verfasst von: Mehmet Bilim, Ibrahim Develi

Erschienen in: Wireless Personal Communications | Ausgabe 3/2015

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The inverse cumulative distribution function (CDF) appears in many important problems such as outage probability calculations in wireless communications. The Nakagami-m inverse CDF is difficult to compute numerically and is known to have no closed form. In this paper, we present a new and useful approximation to the Nakagami-m inverse CDF. The genetic algorithm is applied to optimize the coefficients of the proposed approximation. For typical cases in Nakagami-m wireless communication channels, it is shown through comprehensive computer simulations that the proposed method has high accuracy in most of the region of the exact CDF values.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Nakagami, M. (1960). The m-distribution, a general formula of intensity distribution of rapid fading. In W. G. Hoffman (Ed.), Statistical methods in radio wave propagation. Oxford: Pergamon. Nakagami, M. (1960). The m-distribution, a general formula of intensity distribution of rapid fading. In W. G. Hoffman (Ed.), Statistical methods in radio wave propagation. Oxford: Pergamon.
2.
Zurück zum Zitat Yang, L. Y., & Hanzo, L. (2002). Performance of generalized multicarrier DS-CDMA over Nakagami-m fading channels. IEEE Transactions on Communications, 50(6), 956–966.CrossRef Yang, L. Y., & Hanzo, L. (2002). Performance of generalized multicarrier DS-CDMA over Nakagami-m fading channels. IEEE Transactions on Communications, 50(6), 956–966.CrossRef
3.
Zurück zum Zitat Lee, B., & Lee, C. (2013). Performance analysis of cooperative multi-hop networks with hop selection in Nakagami-m fading channels. IEEE Transactions on Wireless Communications, 12(8), 3851–3859.CrossRef Lee, B., & Lee, C. (2013). Performance analysis of cooperative multi-hop networks with hop selection in Nakagami-m fading channels. IEEE Transactions on Wireless Communications, 12(8), 3851–3859.CrossRef
4.
Zurück zum Zitat Lu, T., Ge, J., Yang, Y., & Gao, Y. (2013). Outage probability analysis of signal space cooperative communications over Nakagami-m fading channels. Electronics Letters, 49(18), 1186–1188.CrossRef Lu, T., Ge, J., Yang, Y., & Gao, Y. (2013). Outage probability analysis of signal space cooperative communications over Nakagami-m fading channels. Electronics Letters, 49(18), 1186–1188.CrossRef
5.
Zurück zum Zitat Salhab, A. M., Al-Qahtani, F., Zummo, S. A., & Alnuweiri, H. (2013). Exact outage probability of opportunistic DF relay systems with interference at both the relay and the destination over Nakagami-m fading channels. IEEE Transactions on Vehicular Technology, 62(2), 920–927.CrossRef Salhab, A. M., Al-Qahtani, F., Zummo, S. A., & Alnuweiri, H. (2013). Exact outage probability of opportunistic DF relay systems with interference at both the relay and the destination over Nakagami-m fading channels. IEEE Transactions on Vehicular Technology, 62(2), 920–927.CrossRef
6.
Zurück zum Zitat Xia, M., Wu, Y. C., & Aïssa, S. (2012). Exact outage probability of dual-hop CSI-assisted AF relaying over Nakagami-m fading channels. IEEE Transactions on Signal Processing, 60(10), 5578–5583.MathSciNetCrossRef Xia, M., Wu, Y. C., & Aïssa, S. (2012). Exact outage probability of dual-hop CSI-assisted AF relaying over Nakagami-m fading channels. IEEE Transactions on Signal Processing, 60(10), 5578–5583.MathSciNetCrossRef
7.
Zurück zum Zitat Beaulieu, N. C., & Cheng, C. (2005). Efficient Nakagami-m fading channel simulation. IEEE Transactions on Vehicular Technology, 54(2), 413–424.CrossRef Beaulieu, N. C., & Cheng, C. (2005). Efficient Nakagami-m fading channel simulation. IEEE Transactions on Vehicular Technology, 54(2), 413–424.CrossRef
8.
Zurück zum Zitat Cheng, C. (2000). A Nakagami-m fading channel simulator. M.Sc. thesis, Dept. Elect. Comp. Eng., Queen’s Univ., Kingston, ON, Canada. Cheng, C. (2000). A Nakagami-m fading channel simulator. M.Sc. thesis, Dept. Elect. Comp. Eng., Queen’s Univ., Kingston, ON, Canada.
9.
Zurück zum Zitat Beaulieu, N. C., & Abu-Dayya, A. A. (1991). Analysis of equal gain diversity on Nakagami fading channels. IEEE Transactions on Communications, 39(2), 225–234.CrossRef Beaulieu, N. C., & Abu-Dayya, A. A. (1991). Analysis of equal gain diversity on Nakagami fading channels. IEEE Transactions on Communications, 39(2), 225–234.CrossRef
10.
Zurück zum Zitat Gradshteyn, I. S., & Ryzhik, I. M. (2007). Table of integrals, series, and products (3rd ed.). New York: Academic. Gradshteyn, I. S., & Ryzhik, I. M. (2007). Table of integrals, series, and products (3rd ed.). New York: Academic.
11.
Zurück zum Zitat Proakis, J. G. (1995). Digital communications (3rd ed.). New York: McGraw-Hill. Proakis, J. G. (1995). Digital communications (3rd ed.). New York: McGraw-Hill.
12.
Zurück zum Zitat Holland, J. H. (1975). Adaptation in natural and artificial systems. Ann Arbor, MI: University of Michigan Press, re-issued by MIT Press (1992). Holland, J. H. (1975). Adaptation in natural and artificial systems. Ann Arbor, MI: University of Michigan Press, re-issued by MIT Press (1992).
13.
Zurück zum Zitat Develi, I., Kabalci, Y., & Basturk, A. (2014). Performance of LDPC coded image transmission over realistic PLC channels for smart grid applications. International Journal of Electrical Power & Energy Systems, 62, 549–555.CrossRef Develi, I., Kabalci, Y., & Basturk, A. (2014). Performance of LDPC coded image transmission over realistic PLC channels for smart grid applications. International Journal of Electrical Power & Energy Systems, 62, 549–555.CrossRef
14.
Zurück zum Zitat Develi, I., & Akdagli, A. (2013). High-order exponential approximations for the Gaussian Q-function obtained by genetic algorithm. International Journal of Electronics, 100(4), 553–562.CrossRef Develi, I., & Akdagli, A. (2013). High-order exponential approximations for the Gaussian Q-function obtained by genetic algorithm. International Journal of Electronics, 100(4), 553–562.CrossRef
15.
Zurück zum Zitat Ciftikli, C., Develi, I., & Ozsahin, T. (2004). Increasing the minimum Euclidean distance in combined trellis coding by using genetic algorithms. In IEEE 12th signal processing and communications applications conference, pp. 549–551, April, 2004, Kusadası, Turkey. Ciftikli, C., Develi, I., & Ozsahin, T. (2004). Increasing the minimum Euclidean distance in combined trellis coding by using genetic algorithms. In IEEE 12th signal processing and communications applications conference, pp. 549–551, April, 2004, Kusadası, Turkey.
16.
Zurück zum Zitat Xu, L., Li, Y., & Tang, Z. (2014). Hybrid-genetic-algorithm-based resource allocation for slow adaptive OFDMA system under channel uncertainty. Electronics Letters, 50(1), 30–32.CrossRef Xu, L., Li, Y., & Tang, Z. (2014). Hybrid-genetic-algorithm-based resource allocation for slow adaptive OFDMA system under channel uncertainty. Electronics Letters, 50(1), 30–32.CrossRef
17.
Zurück zum Zitat Euzière, J., Guinvarc’h, R., Uguenand, B., & Gillard, R. (2014). Optimization of sparse time-modulated array by genetic algorithm for radar applications. IEEE Antennas and Wireless Propagation Letters, 13, 161–164.CrossRef Euzière, J., Guinvarc’h, R., Uguenand, B., & Gillard, R. (2014). Optimization of sparse time-modulated array by genetic algorithm for radar applications. IEEE Antennas and Wireless Propagation Letters, 13, 161–164.CrossRef
Metadaten
Titel
A New Nakagami-m Inverse CDF Approximation Based on the Use of Genetic Algorithm
verfasst von
Mehmet Bilim
Ibrahim Develi
Publikationsdatum
01.08.2015
Verlag
Springer US
Erschienen in
Wireless Personal Communications / Ausgabe 3/2015
Print ISSN: 0929-6212
Elektronische ISSN: 1572-834X
DOI
https://doi.org/10.1007/s11277-015-2520-1

Weitere Artikel der Ausgabe 3/2015

Wireless Personal Communications 3/2015 Zur Ausgabe

Neuer Inhalt