“…Our proposed Fr-OFDM based serial-to-parallel conversion is expected to incorporate both benefits of previous serial-to-parallel conversion techniques; the densest serial and parallel features of N-OTDM and OFDM as well as power efficiency of a linear technique. where t is time, f is frequency, T is the symbol duration, and p is the fractional parameter (p ¼ 1 for standard FT), N is the total number of subcarriers, respectively [8,12,14]. While a conventional Fourier Transform performs a =2 rotation in the time-frequency plane, the FrFT makes a rotation of an intermediate angle p=2.…”