NDLI: Multidimensional-signal sample dependency at Nyquist densities

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Multidimensional-signal sample dependency at Nyquist densities

Content Provider	Semantic Scholar
Author	Marks, Robert J.
Copyright Year	2002
Abstract	When a multidimensional signal is uniformly sampled, its spectrum is replicated. If the signal is band limited and the replications (1) contain regions that are identically zero and (2) are not aliased, then the samples are dependent. Indeed, lost samples can be regained from those remaining. In dimensions greater than one, there are spectral regions of support for which this is the case even when sampling is performed at the Nyquist (minimum) density (e.g., a circular spectral region of support in two dimensions). When the known samples are perturbed by additive noise, lost-sample restoration noise levels in certain cases can be obtained by simple geometrical observations in the frequency domain. The results are specifically applied to coherent and incoherent optical images of objects of finite extent obtained from imaging systems with circular pupils.
File Format	PDF HTM / HTML
Alternate Webpage(s)	https://robertmarks.org/REPRINTS/1986_MultidimensionalSignalSampleDependency.pdf
Language	English
Access Restriction	Open
Subject Keyword	Additive white Gaussian noise Aliasing (computing) Arabic numeral 0 Bandlimiting Circuit restoration Coherence (physics) Constant function Dimensions Multidimensional signal processing Noise-induced hearing loss Nyquist rate Physical object Pupil Sampling (signal processing) Sampling - Surgical action Utility functions on indivisible goods density emotional dependency
Content Type	Text
Resource Type	Article

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