Detection of FrFT-OFDM based on second order cyclo-stationary feature over fading channels

In this paper the second order cyclo-stationarity property of Fractional Fourier Transform (FrFT) OFDM is investigated. A novel closed form analytical expression for the cyclic autocorrelation function of FrFT-OFDM signal is derived. The derived formula is achieved in the presence of multipath dispersive channel along with additive white Gaussian noise (AWGN). Extensive Simulations are performed in order to investigate the cyclo-stationarity property of FrFT-OFDM signal over fading channel. A comparison with the cyclo-stationarity property of the conventional FT-OFDM signal is presented. It is shown that the FrFT-OFDM signal can be detected based on its second order cyclo-stationarity feature. Also, the autocorrelation function of the FrFT-OFDM is mathematically proven to be periodic. Its magnitude is estimated at different signal to noise ratio and different fractional order values by the aid of simulation.