Performance analysis of volume-based spectrum sensing for cognitive radio

Abstract—In this work, the volume-based method for spectrum sensing is analyzed, which is able to provide the desirable prop-erties of constant false-alarm rate, robustness against deviation from independent and identically distributed (IID) noise and be-ing 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 charac-teristic. Numerical results are presented to validate our theoretical findings. Index Terms—Cognitive radio, spectrum sensing, volume, Gamma distribution, multiple antenna. I