Title :
On the uncertainty principle in discrete signals
Author :
Calves, L.C. ; Vilbé, Pierre
Author_Institution :
Lab. d´´Electron. et Syst. de Telecommun., Univ. de Bretagne Occidentale, Brest, France
fDate :
6/1/1992 12:00:00 AM
Abstract :
It has recently been shown that the uncertainty principle holds true by appropriate definitions of the durations even if discrete signals are considered. A basic inequality was derived in the particular case where the Fourier transform is real. As an extension to this work, the authors prove the uncertainty relation in the general case of a complex Fourier transform and with somewhat extended definitions of durations
Keywords :
Fourier transforms; information theory; complex Fourier transform; discrete signals; uncertainty principle; Circuits; Digital signal processing; Fourier transforms; Frequency; Integral equations; Marine vehicles; Quantum mechanics; Signal analysis; Uncertainty;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on