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Study on Cognitive Opportunistic Relaying with the Interference from Primary User over Nakagami-m Fading Channels

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Abstract

The outage performance of cognitive opportunistic relaying (COR) systems with the interference at secondary user (SU) from primary user (PU) is analyzed over Nakagami-m fading channels. Specially, we derive an exact closed-form expression for the outage probability of the interested COR systems under the joint impact of the maximum transmission power P M at SU and the maximum interference power Q at PU. Based on the derivations, the impact of system parameters on outage performance is investigated. We first investigate the outage probability versus Q under different fading severity factors. Results show that all curves of outage probability pass through a common crossing point (the corresponding value of Q be Q *) only when the all fading severity factors are equal. In this case, the outage probability is decreasing with the fading severity factors when Q > Q *, while it is increasing when Q < Q*. Furthermore, the formation of the crossing point only dependents on the fading severity factors, but not on other system parameters such as the average fading power and the number of relays. At the same time, we also investigate the impact of P M on outage performance by defining μ = Q/P M . It is achieved that the maximum transmit power constraint P M can be neglected with very little error of performance estimation when \(\mu > 1.5\). This would result in the decrease of complexity in performance analysis and system design. Otherwise, the impact of the maximum transmit power constraint P M must be considered in order to avoid the estimation error.

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References

  1. Mitola, J., & Maguire, G. Q, Jr. (1999). Cognitive radio: making software radios more personal. IEEE Personal Communications, 6(4), 13–18.

    Article  Google Scholar 

  2. Peha, J. (2005). Approaches to spectrum sharing. IEEE Communications Magazine, 43(2), 10–12.

    Article  Google Scholar 

  3. Shalmashi, S., & Slimane, S. (2012). Performance analysis of relay-assisted cognitive radio systems with superposition coding. In Proceeding of personal indoor and mobile radio communications (PIMRC), 2012 IEEE 23rd international symposium on, 2012 (pp. 1226–1231).

  4. Jia, X., & Yang, L. (2012). Upper and lower bounds of two-way opportunistic amplify-and-forward relaying channels. IEEE Communications Letters, 16(8), 1180–1183.

    Article  Google Scholar 

  5. Jia, X., Fu, H., Yang, L., & Zhao, L. (2011). Superposition coding cooperative relaying communications: Outage performance analysis. International Journal of Communication Systems, 24(3), 384–397.

    Article  Google Scholar 

  6. Jia, X., Zhu, H., Yang, L., & Fu, H. (2013). N-Rth dual best relays opportunistic cooperation schemes and performance analyses over Nakagami-m fading channels. IET Communications, 7(4), 349–359.

    Article  MathSciNet  MATH  Google Scholar 

  7. Liping, L., Ping, Z., Guangchi, Z., & Jiayin, Q. (2011). Outage performance for cognitive relay networks with underlay spectrum sharing. IEEE Communications Letters, 15(7), 710–712.

    Article  Google Scholar 

  8. Zhi, Y., Xing, Z., & Wenbo, W. (2011). Exact outage performance of cognitive relay networks with maximum transmit power limits. IEEE Communications Letters, 15(12), 1317–1319.

    Article  Google Scholar 

  9. Zhang, X., Yan, Z., Gao, Y., & Wang, W. (2013). On the study of outage performance for cognitive relay networks (CRN) with the Nth best-relay selection in rayleigh-fading channels. IEEE Wireless Communications Letters, 2(1), 110–113.

    Article  Google Scholar 

  10. Xing, Z., Jia, X., Zhi, Y., Yue, G., & Wenbo, W. (2013). Outage performance study of cognitive relay networks with imperfect channel knowledge. IEEE Communications Letters, 17(1), 27–30.

    Article  Google Scholar 

  11. Yifan, Z., Yin, X., Yang, L., Zhiyong, F., Ping, Z., & Zhiqing, W. (2012). Outage probability analysis of cognitive relay networks in Nakagami-m fading channels. In Proceeding of vehicular technology conference (VTC Fall), 2012 IEEE, 2012 (pp. 1–5).

  12. Quoc Nguyen, B., Duong, T. Q., Benevides da Costa, D., Alexandropoulos, G. C., & Nallanathan, A. (2013). Cognitive amplify-and-forward relaying with best relay selection in non-identical rayleigh fading. IEEE Communications Letters, 17(3), 475–478.

    Article  Google Scholar 

  13. Ping, Y., Liping, L., & Jiayin, Q. (2012). Outage performance of cognitive relay networks with interference from primary user. IEEE Communications Letters, 16(10), 1695–1698.

    Article  Google Scholar 

  14. Qihui, W., Zongsheng, Z., & Jinlong, W. (2013). Outage analysis of cognitive relay networks with relay selection under imperfect CSI environment. IEEE Communications Letters, 17(7), 1297–1300.

    Article  Google Scholar 

  15. JiangBo, S., Zan, L., HaiYan, H., JunJie, C., & Rui, G. (2012). Capacity analysis of cognitive relay networks with the PU’s interference. IEEE Communications Letters, 16(12), 2020–2023.

    Article  Google Scholar 

  16. HaiYan, H., Zan, L., JiangBo, S., & Rui, G. (2013). Outage analysis of underlay cognitive multiple relays networks with a direct link. IEEE Communications Letters, 17(8), 1600–1603.

    Article  Google Scholar 

  17. Duong, T. Q., Kim, K. J., Zepernick, H.-J., & Tellambura, C. (2013). Opportunistic relaying for cognitive network with multiple primary users over Nakagami-m fading. In Proceeding of communications (ICC), 2013 IEEE international conference on, 2013 (pp. 5668–5673).

  18. Jinlong, W., Zongsheng, Z., Qihui, W., & Yuzhen, H. (2013). Outage analysis of cognitive relay networks with interference constraints in Nakagami-m channels. IEEE Wireless Communications Letters, 2(4), 387–390.

    Article  Google Scholar 

  19. Gradshteyn, I. S., & Ryzhik, I. M. (2007). Table of Integrals, series, and products (7th ed.). San Diego, CA: Acdemic.

    MATH  Google Scholar 

  20. David, H. A., & Nagaraja, H. N. (2003). Order statistics (3rd ed.). New York: John Wiley.

    Book  MATH  Google Scholar 

Download references

Acknowledgments

The authors would like to thank the editors and the anonymous reviewers for their constructive comments and suggestions, which helped to improve the quality of this paper. This work was supported by the Natural Basic Research Program of China (973 Program) under Grant 2013CB329104, the National Natural Science Foundation of China under Grant 61561043, 61372124, 61427801, 61261015, 61363059, and 61302100, and by the Foundation Research Funds for the University of Gansu Province: ‘Massive MIMO channels modeling and estimation over millimeter wave band for 5G’.

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Authors and Affiliations

  1. College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730070, China

    Weisheng Wang & Xiangdong Jia

  2. Wireless Communication Key Lab of Jiangsu Province, Nanjing University of Posts and Telecommunications, Nanjing, 21003, China

    Xiangdong Jia, Longxiang Yang & Hongbo Zhu

  3. Key Lab of Broadband Wireless Communication and Sensor Network Technique of Ministry of Education, Nanjing University of Posts and Telecommunications, Nanjing, 21003, China

    Xiangdong Jia, Longxiang Yang & Hongbo Zhu

Authors
  1. Weisheng Wang
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  2. Xiangdong Jia
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  3. Longxiang Yang
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  4. Hongbo Zhu
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Corresponding author

Correspondence to Xiangdong Jia.

Appendix: Proof of Lemma 1

Appendix: Proof of Lemma 1

Using the assumption that the RVs X and Y obey Nakagami-m fading with parameters \(\omega_{A}\) and \(m_{A} ,\;A \in \{ X,Y\}\), conditioned on Y we have the conditional probability [20]

$$F_{Z} (z|Y) = 1 - \frac{1}{{\varGamma (m_{X} )}}\varGamma \left( {m_{X} ,\frac{{m_{X} }}{{\omega_{X} }}\frac{b}{a}Yz} \right)$$
(37)

Using Eq. (8.352.2) in [19], Eq. (37) can be written as

$$F_{Z} (z|Y) = 1 - \sum\limits_{s = 0}^{{m_{X} - 1}} {\frac{1}{s!}\left( {\frac{{m_{X} }}{{\omega_{X} }}\frac{b}{a}Yz} \right)^{s} \exp \left( { - \frac{{m_{X} }}{{\omega_{X} }}\frac{b}{a}Yz} \right)}$$
(38)

Taking the integral of (38) with respect to Z and using (3.381.4) in [19], the result in Lemma 1 can be obtained.

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Wang, W., Jia, X., Yang, L. et al. Study on Cognitive Opportunistic Relaying with the Interference from Primary User over Nakagami-m Fading Channels. Wireless Pers Commun 91, 793–810 (2016). https://doi.org/10.1007/s11277-016-3497-0

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