Effect of Sensing Time Variation on Detection, Misdetection and False Alarm Probabilities in Cognitive Radio-Based Wireless Sensor Networks

Abstract

In this paper, we present an analytical derivation of the probability of detection, probability of misdetection and probability of false alarm in cognitive radio-based wireless sensor networks under a varying effect of sensing time. Sensing time is one of the most important parameters in cognitive radio-based networks. Particularly, in cognitive radio-based wireless sensor networks, the duration of channel sensing greatly impacts on probabilities of false alarm, misdetection and detection of primary user signal in a channel under investigation. In our analytical method, we have considered event that a given channel will be ON or OFF with different probabilities of ON and OFF states of the channel. From our simulation results, we found that, for different probability of ON channel state, there is significant change in probability of detection and misdetection as the sensing time increases. Simulation results also showed that for different probability of OFF channel state, probability of false alarm varies with sensing time.