Title :
The odd discrete Fourier transform
Author :
Rowlands, Richard O.
Author_Institution :
Pennsylvania State University, State College, Pa.
Abstract :
It is shown that the Discrete Fourier Transform (DFT), when used in the conventional manner with the frequency samples located at zero and integer multiples of 1/T, where T is the signal duration, gives an inaccurate representation of the spectrum of certain frequencies that are located near the top and bottom end of the band. It is further shown that this type of error can be eliminated by using the Odd Discrete Fourier Transform (ODFT) in which the frequency samples are located at odd multiples of 1/2T. An application of the ODFT in two dimensional filtering is also discussed.
Keywords :
Discrete Fourier transforms; Discrete transforms; Equations; Filtering; Fourier transforms; Frequency domain analysis; Power harmonic filters;
Conference_Titel :
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '76.
DOI :
10.1109/ICASSP.1976.1170122
