Analysis of energy detection over double-Rayleigh fading channel

The problem of spectrum sensing using energy detection over double-Rayleigh fading channel was addressed in this paper. Closed-form expressions of detection probability with and without diversity were derived based on probability density function method. The related integral involving Marcum-Q function was evaluated by using alternative representations. The validity of theoretical analyses was shown by comparing numerical results with Monte-Carlo Simulations. The results indicate that the detection performance for double-Rayleigh fading is even worse than other fading, which can be improved by diversity. These results help quantify and understand the achievable performance when double-Rayleigh fading happens.