Topic
Discrete-time Fourier transform
About: Discrete-time Fourier transform is a research topic. Over the lifetime, 5072 publications have been published within this topic receiving 144643 citations. The topic is also known as: DTFT.
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TL;DR: Two systems are described for reducing the data rate required to transmit TV signals and the fact that if there is an object in the scene moving more or less in linear translation, then the two-dimensional frame-difference signal computed during the present frame will be very similar to the frame-Difference signal which was compute during the previous frame except for a linear translation.
Abstract: Two systems are described for reducing the data rate required to transmit TV signals. Basic to the operation of both systems is the fact that if there is an object in the scene moving more or less in linear translation, then the two-dimensional frame-difference signal computed during the present frame will be very similar to the frame-difference signal which was computed during the previous frame except for a linear translation. Thus the Fourier transform of the frame-difference signal will also be similar during successive frames except for a linear phase shift.
26 citations
TL;DR: In this paper, it was shown that the discrete fractional Fourier transform recovers the continuum fractional decomposition via a limiting process whereby inner products are preserved, and it is shown that this limiting process can be used to preserve the inner products of the discrete Fourier transformation.
Abstract: It is shown that the discrete fractional Fourier transform recovers the continuum fractional Fourier transform via a limiting process whereby inner products are preserved.
25 citations
TL;DR: The generalized Poisson sum formula is obtained based on the relationship of the FrFT and the Fourier transform and some new results associated with this novel sum formula have been derived and the potential applications of these new results in estimating the bandwidth and the fractional spectrum shape of a signal in the fractionsal Fourier domain are proposed.
25 citations
25 citations
TL;DR: In this article, the effects of frequency shifting and amplitude changing into one space curve are combined to provide a tool for analyzing structure health status and properties, and a damage index called FRESH curvature is proposed to detect local stiffness reduction.
25 citations