LAUSR

In this letter, we investigate the energy detection performance over arbitrarily correlated Nakagami- ${m}$ channels under vehicle mobility. We consider that vehicle is under the protection range of the primary user. We derive the probability density function of the received signal-to-noise ratio by means of the ratio of two distributions. Next, closed-form expression for the average probability of detection is derived considering maximal ratio combining diversity for dual-antenna branches under vehicle mobility. The numerical results demonstrate that that the impact of the arbitrary correlation under vehicle mobility in terms of receiver operating characteristic. Detection performance may vary under various antenna correlation types, such as exponential or uniform. Based on the numerical results obtained, we posit that the joint effect of high-antenna correlation and mobility of vehicle can degrade detection performance with a single antenna; furthermore, dual-antenna branches can provide a remedy to the deterioration.