Table 1 Main notations with corresponding definitions
Notations | Definition |
|---|---|
\(H\left( H_0/H_1\right)\) | Hypotheses (absent/present) |
\(p_0\) | The probability of absence of the primary signal |
\(p_1\) | The probability of presence of the primary signal |
\(\tau _s(NSA)\) | The sensing time slot in the conventional scheme |
\(\tau _s(SA)\) | The sensing time slot in the proposed scheme |
STS | The time slot of sensing |
RTS | The time slot of reporting |
\(f_s\) | The sampling frequency |
\(N_{x,j}\) | The total number of samples of the \(j{\rm th}\, CR-IoT\) user |
T | The total frame length |
SA | Sequential approach |
NSA | Non-sequential approach |
\(CR-IoT_{tx}\) | The CR-IoT transmitter |
\(CR-IoT_{rx}\) | The CR-IoT receiver |
\(PU_{tx}\) | The primary user transmitter |
\(PU_{rx}\) | The primary user receiver |
A | The frame of discernment |
\(p_{d,j}\) | The probability of detection of the \(j{\rm th}\,CR-IoT\) user |
\(p_{f,j}\) | The probability of false alarm of the \(j{\rm th}\,CR-IoT\) user |
\(gd_d\) | Global probability of detection of the fusion center |
\(gd_f\) | Global probability of false alarm of the fusion center |
\(c_0\) | The channel capacity under \(H_0\) |
\(c_1\) | The channel capacity under \(H_1\) |
\(R_{avg}\) | The average throughput of the proposed scheme |
\(SNR_{CR-IoT}\) | The SNR in the \(CR-IoT_{tx}\) and \(CR-IoT_{rx}\) link |
\(SNR_{PU}\) | The SNR in the \(PU_{tx}\) and \(CR-IoT_{rx}\) link |