Outage and ergodic capacity analysis for Cognitive Radio network under the impact of aggregate interference over Nakagami-m fading

  • Vaibhav S Hendre Sathyabama University, Chennai
  • K V Karthikeyan Sathyabama University, Chennai.
  • Mahalingam Murugan SRM's Valliammai Engineering College
  • Madhukar M Deshmukh Pune University
Keywords: Aggregate Interference (AI), Cognitve Radio Network (CRN), Ergodic Capacity, Nakagami-m Fading, Outage Probability

Abstract

In a Cognitive Radio Network, the performance of the secondary users depends on the co-channel interference generated by the primary and the secondary transmitters. Therefore the characterization of aggregate interference (AI) in such type of networks is of the prime importance. The characterization of AI at the primary receiver due to multiple cognitive users has been reported in literature but the impact of this AI on performance of secondary receiver has not been investigated. In this paper, the closed form expressions have been derived for the outage probability based on complementary cumulative distribution function (CCDF) of received signal to interference ratio (SIR) at secondary. This analysis is carried out under the impact of AI generated by multiple secondary networks under Nakagami-m fading channel. The system model is designed based on stochastic geometry tools where the interfering nodes are assumed to be distributed as a homogeneous spatial Poisson point process (PPP). Further, the closed form expressions have been derived for the ergodic capacity of secondary network for different parameters of the Nakagami-m fading channel. The results show that the outage probability and ergodic capacity not only depends upon the threshold level of the primary receivers but also a function of received SIR at the secondary receiver, network topology and the parameters of Nakagami-m fading channels.

Author Biographies

Vaibhav S Hendre, Sathyabama University, Chennai

Associate Professor

Department of Electronics & Telecommunication

 

K V Karthikeyan, Sathyabama University, Chennai.
Professor in Department of Electronics and Communication Engineering, Sathyabama University, Chennai, Tamilnadu, India
Mahalingam Murugan, SRM's Valliammai Engineering College
Professor and Vice Principal of SRM's
Valliammai Engineering College, Kattankulathur 603203,
Tamil Nadu, India
Madhukar M Deshmukh, Pune University
Associate Professor at Trinity College of Engineering & Research, Pune

References

Andrews, J., Bacceel, F. & Ganti, R. K., 2011. A Tractable Approach to Coverage and Rate in Cellular Networks. IEEE Transactions on Communications, 59(11): 3122-3134.

Baccelli, F. & Blaszczyszyn, B., 2009. Stochastic Geometry and Wireless Networks.Vol-II-Applications. B. NoW Publishers.

Chen, Z., Wang, C., Hong, X. & Thompson, J., 2012. Aggregate Interference Modeling in Cognitive Radio Networks with Power and Contention Control. IEEE Transactions on Communications, 60(2): 456-468

Deshmukh, M., Frederiksen, F. B. & Prasad, R., 2016. . Characterization of interference in cognitive radio networks: A spatial statistical approach.(Unpublished data)

Goldsmith, A. & Maric, I., 2013. Capacity of Cognitive Radio Networks. In: Principles of Cognitive Radio. Pp. 1-66. Cambridge University Press.

Haenggi, M. & Ganti, R. K., 2009. . Interference in Large Wireless Networks. Foundations and Trends in Networking,, 3(2): 127-248.

Haenggi, M., 2009. Outage, Local Throughput, and Capacity of Random Wireless Networks. IEEE Transactions on Wireless Communications, 8(8): 4350-4359.

Haenggi, M., Andrews, J. & Baccelli, F., 2009. Stochastic Geometry and Random Graphs for the Analysis and Design of Wireless Networks. IEEE Journal on selected areas in communications, 27(7): 1029-1046

Jabbari, B. & Babaei, A., 2008. Internodal Distance Distribution and Power Control for Coexisting Radio Networks. In IEEE Global Telecommunications Conference. New Orleans, LO,1-5.

Lee, C. & Haenggi, M., 2012. Interference and Outage in Poisson Cognitive Networks. IEEE Transactions on Wireless Communications, 1(4): 1392-1401.

Mitola, J. & Maquire, G.Q., 1999. Cognitive Radio: Making Software Radios more Personal. IEEE Personal Communicatios, 6(4):13-18.

Nguyen, H. & Sun, S, 2015. Stochastic Geometry-based Performance Bounds for Non-Fading and Rayleigh Fading Ad-hoc Networks. [Online]. Available at: arXiv:1509.04002.

Rezki, Z. & Alouini, M. S., 2012. Ergodic Capacity of Cognitive Radio under Imperfect Channel State Information. IEEE Transactions on Vehicular Technology, 61(5): 2108-2119.

Song, X., Yin, C., Liu, D. & Zhang, R., 2014. Spatial Throughput Characterization in Cognitive Radio Networks with Threshold-based Opportunistic Spectrum Access. IEEE Journal on Selected Areas in Communications, 32(11): 2190.2204.

Srinivasa, S. & Haenggi, M., 2009. Path loss exponent estimation in large wireless networks. In IEEE Information Theory and Applications Workshop. San Diego, CA, 124-129.

Srinivasa, S. & Haenggi, M, 2007. Modling Interfernce in Finite Uniformly Random Networks. In International Workshop on Information Theory for Sensor Networks. Santa Fe, NM, 1-7.

Timmers, M., Pollin, S., Dejonghe, A., & Bahai, A., 2008. Accumulative Interference Modeling for Cognitive Radios with Distributed Channel Access. In International Conference on Cognitive Radio Oriented Wireless Networks and Communications. Singapore, 1-7.

Trigui, I., Affes, S. & Stephenne, A., 2013. Ergodic Capacity Analysis for Interference-Limited AF Multi-Hop Relaying Channels in Nakagami-m Fading. IEEE Transactions on Communications, 61(7): 2726-2734.

Wen, Y., Loyka, S. & Yongacoglu, A., 2010. On distribution of aggregate interference in cognitive radio networks. In 25th Biennial Symposium on Communications (QBSC). Kingston, ON, 265-268.

Yang, Y., Hou, J. & Kung, L., 2007. Modeling the Effect of Transmit Power and Physical Carrier Sense in Multi-hop Wireless Networks. In 26th IEEE International Conference on Computer Communications, Institute of Electrrical and Elecronics Engineers(IEEE). Anchorage,AK, 2331-2335.

Published
2018-05-02
Section
Electrical Engineering