Analysis of square-law combining for cognitive radios over Nakagami chananels

  • Authors:

  • Yunxue Liu;Dongfeng Yuan;Mingyan Jiang;Wenqiang Fan;Gang Jin;Fen Li

  • Affiliations:

  • School of Science and Technology for Opto-electronic Information, Yantai University, Yantai, Shandong, China and School of Information Science and Engineering, Shandong University, Jinan, Shandong ...;School of Information Science and Engineering, Shandong University, Jinan, Shandong, China;School of Information Science and Engineering, Shandong University, Jinan, Shandong, China;School of Science and Technology for Opto-electronic Information, Yantai University, Yantai, Shandong, China;School of Science and Technology for Opto-electronic Information, Yantai University, Yantai, Shandong, China;School of Science and Technology for Opto-electronic Information, Yantai University, Yantai, Shandong, China

  • Venue:
  • WiCOM'09 Proceedings of the 5th International Conference on Wireless communications, networking and mobile computing
  • Year:
  • 2009

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Abstract

This paper addresses the problem of energy detection of a primary signal in a cognitive radio environment over Nakagami channels. As an extension to the previous works, we start with the no diversity case, and present some alternative closed-form expressions of detection probability under Nakagami channels. Then we pay much attention to studying the square-law combining technology when wireless users experience Nakagami fading (the outputs of all square-law devices are added to yield a new decision statistic), and derive closed-form expressions of detection probability when Nakagami parameters are integral. Interestingly, it is noted that, for a diversity scheme of SLC with L diversity branches, the detection probability in a Nakagami channel with intergral Nakagami parameter m is equivalent to that in a Rayleigh channel with mL diversity branches. Finally, performance evaluation is exhibited for different numbers of diversity branches and different values of Nakagami parameters.