C9. Second order cyclostationarity of fractional Fourier transform orthogonal frequency division multiplexing signal

Signal cyclostationarity property is used for detection and signal´s parameters estimation of the conventional orthogonal frequency division multiplexing (FT-OFDM). In this paper, cyclostationarity of fractional Fourier transform orthogonal frequency division multiplexing (FrFT-OFDM) is investigated. FrFT-OFDM has been proposed previously in order to alleviate the problem of high peak to average power ratio and its immunity to inter carrier interference. The cyclostationarity property of FrFT-OFDM can be considered an essential technique in performing signal´s parameters estimation. A novel mathematical formula for the cyclic autocorrelation function of the FrFT-OFDM signal over AWGN is derived. This mathematical formula shows that the FrFT-OFDM signal has a cyclostationarity property and it is validated with the aid of extensive simulation results. Based on these simulations, it is shown that signal detection based on FrFT-OFDM cyclostationarity is feasible (as the FTOFDM) but its cyclic autocorrelation function magnitude is less than the conventional FT-OFDM at different values of signal to noise ratio (SNR).