A Novel Mathematical Model for Energy Detection Based Spectrum Sensing in Cognitive Radio Networks

Spectrum sensing is the quintessence of cognitive radio network and is influenced by uncertain noise at low SNR. In such a scenario sensing duration imposes a constraint on the sensing performance. This paper presents a novel mathematical approach to obtain optimal sensing duration (number of samples) in presence of noise uncertainty for energy detection method. The effect of noise uncertainty on number of sensed samples has been analyzed and a novel approach has been presented to correlate the sensing duration with SNR to attain desired performance in terms of P-FA (Probability of False Alarm) and P-D (Probability of Detection).