Performance analysis of cyclic prefixed single-carrier cognitive amplify-and-forward relay systems

Kyeong Jin Kim, Trung Q. Duong, H. Vincent Poor

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


A cyclic prefixed single-carrier (CP-SC) relaying system is considered for cognitive radio networks under spectrum sharing condition. The outage probability of secondary users employing a two-hop amplify-and-forward (AF) relay protocol is investigated under an interference constraint inflicted by the secondary user-source and the secondary user-relay on a primary user (PU). Assuming channel-state-information (CSI) is available, the end-to-end signal-to-noise-ratio (e2e-SNR) is first derived, and then an analytical expression for the cumulative distribution function (CDF) of this e2e-SNR is derived. Based on this derived CDF, analytical expressions for the exact outage probability, the approximate symbol error rate (SER), and approximate achievable rate can be obtained. In addition, to reveal further insights into the impact of channel lengths on the diversity and coding gains, the asymptotic outage probability and SER are provided. It is important to note that the performance of cognitive radio networks is degraded due to the limited power constraint inflicted on the primary network. As such, the optimal power allocation (OPA) is also derived to achieve a better asymptotic outage probability.

Original languageEnglish (US)
Article number6377486
Pages (from-to)195-205
Number of pages11
JournalIEEE Transactions on Wireless Communications
Issue number1
StatePublished - 2013

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


  • Cyclic prefixed single-carrier (CP-SC) cognitive relay system
  • achievable rate
  • asymptotic outage diversity
  • end-to-end signal-to-noise-ratio
  • optimal power allocation
  • outage probability
  • spectrum-sharing
  • symbol error rate (SER)
  • two-hop amplify-and-forward (AF) protocol


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