Wireless Networks

, Volume 25, Issue 8, pp 5099–5111 | Cite as

On the estimation of primary user activity statistics for long and short time scale models in cognitive radio

  • Dhaval K. Patel
  • Brijesh SoniEmail author
  • Miguel López-Benítez


Dynamic Spectrum Access (DSA)/Cognitive Radio (CR) systems access the channel in an opportunistic, non-interfering manner with the primary network. DSA/CR systems utilize spectrum sensing techniques to sense the availability of Primary user (PU). CR users can benefit from the knowledge of PU activity statistics. In this work, comprehensive analysis of estimation of distribution of PU idle and busy periods is carried out using Generalized Pareto and Pareto distributions for long and short time scale models respectively and closed form expression is derived. Moreover, the impact of sensing periods on the accuracy of estimated PU idle/busy periods is studied. Furthermore, the error in proposed estimation of distribution of PU idle and busy periods is quantified using the Kolmogorov–Smirnov test. From this study we conclude that the proposed model is better fit for the real scenarios eliminating practical limitations. Mathematical analysis is substantiated with the simulation results.


Dynamic spectrum access Cognitive radio Spectrum sensing Generalized Pareto distribution Primary user activity statistics 



This work is supported by Department of Science and Technology (DST)-UKIERI Programme under the Grant Ref. DST/INT/UK/P-150/2016. The authors would like to thank School of Engineering and Applied Science, Ahmedabad University and the University of Liverpool, UK for the infrastructural support.


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Engineering and Applied ScienceAhmedabad UniversityAhmedabadIndia
  2. 2.Department of Electrical Engineering and ElectronicsUniversity of LiverpoolLiverpoolUK
  3. 3.ARIES Research CentreAntonio de Nebrija UniversityMadridSpain

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