Orthogonal perfect discrete Fourier transform sequences

In this study, the authors propose a method to obtain many different sets of N orthogonal perfect periodic autocorrelation sequences, with length N, derived from Walsh-Hadamard codes and orthogonal Gold codes. Moreover, these orthogonal perfect discrete Fourier transform (DFT) sequences can be transformed into real orthogonal perfect sequences or into bipolar codes with better correlation properties than other well known bipolar codes used in code division multiple access (CDMA) systems.