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

摘要

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).