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Table 1 Main notations with corresponding definitions

From: A throughput analysis of an energy-efficient spectrum sensing scheme for the cognitive radio-based Internet of things

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