S. Moshe et D. Hertz, On computing DFT of real N-point vector and IDFT of DFT-transformed real N-point vector via single DFT, IEEE SIG PL, 6(6), 1999, pp. 141-141
This note presents a method to compute the discrete Fourier transform (DFT)
of an N-point real vector and the inverse DFT (IDFT) of the DFT of another
real N-point vector by carrying out a single complex N-point DFT, Possible
applications are for transceivers where the transmitter has to carry out t
he DFT of an N-point real sequence and the receiver has to carry out the in
verse DFT of the DFT of another N-point real sequence.