This code plots the receiver operating characteristics (ROC) curve for Rayleigh channel. The formulas for the probability of detection and the probability of false alarm are taken the following paper:

Digham, F.F. Alouini, M.-S. Simon, Marvin K., On the Energy Detection of Unknown Signals Over Fading Channels, Communications, IEEE Transactions on , vol.55, no.1, pp.21,24, Jan. 2007.-This code plots the receiver operating characteristics (ROC) curve for Rayleigh channel. The formulas for the probability of detection and the probability of false alarm are taken　the following paper:

Digham, F.F.　Alouini, M.-S.　Simon, Marvin K.,　On the Energy Detection of Unknown Signals Over Fading Channels,　Communications, IEEE Transactions on , vol.55, no.1, pp.21,24, Jan. 2007.