Abstract
Traditionally, the way to allocate of spectrum sources is fixed band in many countries, and most of the spectrum band are arranged for the certain communication services. However, the technology and devices in the wireless communication system are rapid, and more and more people use the related wireless communication services. Thus, the sources of the spectrum are rare nowadays. People realized that the limitation in the sources and need to enhance the efficient usages ratio, so they discussed the solutions to the problem. Many researches proposed a new concept of the Cognitive Radio network. In the literatures, there is a Jarque-Bera normality test algorithm to detect the spectrum is available or not under the additive white Gaussian noise (AWGN) channel. However, in the realistic world, the fading affects the transmitted signals in the wireless communication. Thus, we consider Rayleigh fading channel mode, and analyze the performance based on JB test for four approaches which depend on two factors. First is that the receiver can recover the random phase or not. Second is that the receiver use the in-phase signal or the absolute values of the signal. Moreover, we compare the performance of JB test with the performance of another statistic test.