Title :
Generalised autocorrelation theorem
Author :
Rao, K. Raghava ; Revuluri, K. ; Ahmed, Nova
Author_Institution :
University of Texas, Department of Electrical Engineering, Arlington, USA
Abstract :
It is shown that the modified generalised discrete transform of the autocorrelation of a sequence yields the shift-invariant spectral modes within some scale factors. This is a fundamental result, as it is a logical extension of the well known autocorrelation theorem for the discrete Fourier transform.
Keywords :
Fourier transforms; correlation theory; Fourier transforms; correlation theory; digital processing; generalised autocorrelation theorem; information theory; shift invariant spectra modes;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19730155
