Abstract
In this paper, the issue of secondary network access in cognitive wireless sensor networks is investigated. An efficient scheme (in terms of both power and spectrum) named decode-and-forward based multi-relay scheme with relay ordering (DF-MRRO) is proposed for secondary network access. More important, this scheme is used to enhance the performance of secondary network. In an effort to assess the performance, the received signal-to interference-plus-noise ratio of both the primary and secondary links are derived, from which new exact closed-form expressions for the outage probability of primary and secondary networks are derived. Moreover, the diversity order is calculated for both the primary and secondary network. It is also shown that full diversity order can be achieved if the condition of power requirement is satisfied. Finally, simulation results obtained for the outage performance of the proposed scheme in primary and secondary networks prove the effectiveness of the proposed scheme. It also demonstrates that a maximum of 7 dB SNR gain can be achieved in the proposed DF-MRRO scheme.
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SD has designed the given model and computational framework and analyzed the data. She carried out the implementation part and contributed for the interpretation of the results. JMLM has provided feedback and helped to shape the manuscript. XA helped to analyze the throughput of the proposed system.
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Appendices
Appendix 1
At high SNR, Eq. (28) can be approximated as
where
The outage probability of primary link for each possible set of C can be approximated as
If all secondary transmitters can decode successfully i.e.\(C = \left\{ {ST_{1} ,ST_{2} , \ldots ,ST_{N} } \right\}\) and \(D = \left\{ \emptyset \right\}\), the outage probability can be written as
At high SNR, the above equation can be approximated as
where
Moreover, we have
Hence, outage probability at high SNR can be given as
The diversity order is calculated as follows: Diversity Order
Appendix 2
At high SNR, Eqs. (28) and (30) can be approximated as
where
The outage probability for each possible set of \(C_{j}\) is approximated as
where
If all the secondary transmitters \(ST_{1} ,ST_{2} ,...,ST_{j - 1}\) can decode the primary signal \(x_{s}\) successfully, the above equation can be approximated as
It is easy to see that \(\left( {j - n - 1} \right)\left( {m - y} \right) + 1 \ge j - n \ge 1\). Hence the outage probability of the secondary network can be approximated at high SNR as
where \(\varsigma_{j}\) is a constant. The outage probability of secondary system can be calculated as
From the definition of diversity order, the diversity gain of STj-SRj link and secondary system are calculated as 1 and N respectively.
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Devipriya, S., Martin Leo Manickam, J. & Anita, X. On the outage performance of decode-and-forward based relay ordering in cognitive wireless sensor networks. Wireless Netw 28, 3247–3259 (2022). https://doi.org/10.1007/s11276-022-03038-1
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DOI: https://doi.org/10.1007/s11276-022-03038-1