Abstract
In this paper, we suggest a new transmission technique for cognitive radio networks. The proposed adaptive underlay/interweave transmission technique is evaluated in the presence and absence of primary interference. The proposed adaptive underlay/interweave transmission technique offers 1–3 dB gains with respect to conventional cognitive radio networks (CRN) using either underlay or interweave. The proposed protocol is extended to CRN with energy harvesting using radio frequency (RF) signals. Our results are valid for any position of primary and secondary transmitter and receiver.
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Appendices
Appendix 1: PDF of SINR for Underlay CRN Without Energy Harvesting
Let \(\Gamma _{S_TS_R}^{underlay}\) be the SINR at \(S_R\) defined in (9). The cumulative distribution function (CDF) of \(\Gamma _{S_TS_R}^{underlay}\) can be evaluated as:
We have
where \(\lambda _{S_TP_R}=E(|g_{S_TP_R}|^2)\) and E(.) is the expectation operator.
When \(\frac{T}{|g_{S_TP_R}|^2}>E_{\max }\), \(E_{S_T}=E_{\max }\) and we have
where \(\lambda _{S_TS_R}=E(|g_{S_TS_R}|^2).\)
When \(\frac{T}{|g_{S_TP_R}|^2}<E_{\max }\), \(E_{S_T}=\frac{T}{|g_{S_TP_R}|^2}\) and we have
We deduce
After some calculation, we obtain
where
Using (14–17) and by derivation, we deduce the PDF of SINR for underlay CRN
where
and
Appendix 2
The CDF of \(E_{S_T}\) is equal to
Using (42) and since \(g_{HS_T}\) and \(g_{S_TP_{R}}\) are independent, we deduce
In fact, \(P(min(X,Y)>x)=P(X>x)P(Y>x)\). We deduce
Appendix 3
The SNR at \(S_R\) is defined as
Using the expression of CDF of \(E_{S_T}\) given in Appendix 2, we have
We use (Gradshteyn and Ryzhik 1994)
to express the CDF of SNR as:
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Alnwaimi, G. Adaptive Underlay/Interweave Transmission Protocol for Cognitive Radio Networks. Iran J Sci Technol Trans Electr Eng 45, 1191–1201 (2021). https://doi.org/10.1007/s40998-021-00439-4
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DOI: https://doi.org/10.1007/s40998-021-00439-4