Performance Analysis of Volume-Based Spectrum Sensing for Cognitive Radio

In this work, the volume-based method for spectrum sensing is analyzed, which is able to provide the desirable properties of constant false-alarm rate, robustness against deviation from independent and identically distributed (IID) noise and being free of noise uncertainty. By computing the first and second moments for the signal-absence and signal-presence hypotheses together with using the Gamma distribution approximation, we derive accurate analytic formulae for the false-alarm and detection probabilities for IID noise situations. This enables us to develop theoretical decision threshold as well as receiver operating characteristic. Numerical results are presented to validate our theoretical findings.