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Reseach Article

Validation of Beta Distribution for Spectrum Usage using Kolmogorov-Smirnov Test

by Kishor Patil
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 144 - Number 9
Year of Publication: 2016
Authors: Kishor Patil
10.5120/ijca2016910431

Kishor Patil . Validation of Beta Distribution for Spectrum Usage using Kolmogorov-Smirnov Test. International Journal of Computer Applications. 144, 9 ( Jun 2016), 23-26. DOI=10.5120/ijca2016910431

@article{ 10.5120/ijca2016910431,
author = { Kishor Patil },
title = { Validation of Beta Distribution for Spectrum Usage using Kolmogorov-Smirnov Test },
journal = { International Journal of Computer Applications },
issue_date = { Jun 2016 },
volume = { 144 },
number = { 9 },
month = { Jun },
year = { 2016 },
issn = { 0975-8887 },
pages = { 23-26 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume144/number9/25208-2016910431/ },
doi = { 10.5120/ijca2016910431 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:47:12.169668+05:30
%A Kishor Patil
%T Validation of Beta Distribution for Spectrum Usage using Kolmogorov-Smirnov Test
%J International Journal of Computer Applications
%@ 0975-8887
%V 144
%N 9
%P 23-26
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The arrival and departure of licensed users in the licensed band is a random process. So the channel availability for secondary use or spectrum usage modeling is not an easy task in such scenario. The spectrum measurements for a longer period are useful to characterize and model the spectrum usage. The spectrum usage modeling is the important area of research to realize the cognitive radio. It helps in spectrum sensing, the key function of the cognitive radio. The existing research literature has shown the Beta distribution in the modeling the spectrum usage of the licensed user in a licensed band. This article has validated the Beta distribution channel usage model using the real-time measurements that was conducted in the frequency band 700 to 2746.6 MHz at Pune, India. In this paper, Kolmogorov-Smirnov (K-S) Test is used for Beta distribution validation.

References
  1. M. Islam, G. L. Tan, F. Chin, B. E. Toh, Y.-C. Liang, C. Wang, Y. Y. Lai, X. Qing, S. W. Oh, C. L. Koh, and W. Toh, “Spectrum Survey in Singapore: Occupancy Measurements and Analyses”, in Proc. of International Conference on Cognitive Radio Oriented Wireless Networks and Communications (CROWNCOM), Singapore, May 2008, pp. 1-7.
  2. Kishor Patil, Knud Skouby, Ashok Chandra, Ramjee Prasad, “Spectrum Occupancy Statistics in the Context of Cognitive Radio,” in Proc. of 14th International Symposium on Wireless Personal Multimedia Communications (WPMC’11),Brest, France, November 2011.
  3. J. Mitola, III and G. Q. Maguire, Jr., “Cognitive radio: making software radios more personal,” IEEE Personal Communications, Vol. 6, Issue 4, pp. 13-18,Aug. 1999.
  4. S.Haykin,“Cognitive Radio: Brain-empowered wireless communications," IEEE Journal on Selected Area in Communications, vol. 23, no. 2, pp. 201–220, February 2005.
  5. Miguel Lopez-Benitez and Fernando Casadevall “An Overview of Spectrum Occupancy Models for Cognitive Radio Networks” Proceedings of the IFIP international workshop on performance evaluation of cognitive radio networks (PE-CRN 2011), 13 May 2011, pp 1–10.
  6. C. Ghosh, S. Pagadarai, D. Agrawal, and A. Wyglinski, “A framework for statistical wireless spectrum occupancy modeling,” Wireless Communications, IEEE Transactions on, vol. 9, no. 1, pp. 38 –44, 2010.
  7. P. F. Marshall, “Closed-form analysis of spectrum characteristics for cognitive radio performance analysis,” IEEE DySpan, Chicago, IL, 2008, pp. 1-12.
  8. C. Ghosh, S. Roy, M. B. Rao, and D. P. Agrawal, “Spectrum occupancy validation and modeling using real-time measurements,” in Proceedings of the 2010 ACM workshop on CR networks, ser. CoRoNet '10, 2010, pp. 25-30.
  9. M.Wellens and P.Mähönen, “Lessons Learned from an Extensive Spectrum Occupancy Measurement Campaign and a Stochastic Duty Cycle Model,” Springer Mobile Networks and Applications, August 2009.
  10. Kishor Patil, Ramjee Prasad, Knud Skouby, “Stochastic Duty Cycle Model Based on Measurement for Cognitive Radio”, in Proc. of 15th International Symposium on Wireless Personal Multimedia Communications (WPMC’12), pp.128-132, Taipei, Taiwan, September 2012.
  11. P. M. Lee. Bayesian Statistics: An Introduction, Oxford University Press, Third Edition, 2004.
  12. M. Chakravarti, R. G. Laha and J. Roy, Handbook of Methods of Applied Statistics, Volume I, John Wiley and Sons, pp. 392-394, 1967.
  13. A. Stuart, K. Ord, and S. Arnold, Kendall’s Advanced Theory of Statistics, vol. 2A, Wiley, 6th edition, 1999.
Index Terms

Computer Science
Information Sciences

Keywords

Cognitive Radio Spectrum usage Beta distribution Kolmogorov-Smirnov Test