Publication

On the necessary density for spectrum-blind nonuniform sampling

Michael Christoph Gastpar
2000
Conference Papers

Abstract

It is known that in the absence of distortion, the minimum average sampling density for a multiband signal is given by its spectral occupancy [1]. Furthermore, there exist nonuniform sampling patterns of the same average sampling density such that reconstruction is feasible even if the actual spectral support of the multiband signal is unknown [2]. This is called spectrum-blind nonuniform sampling. However, if the samples are distorted, an increased sampling density may lead to superior reconstruction.

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https://infoscience.epfl.ch/entities/publication/83854f3a-58a3-432e-b3ef-cd826f1defc9

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Michael Christoph Gastpar
2000
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/83854f3a-58a3-432e-b3ef-cd826f1defc9

About this result

Related concepts (18)

Density

Density (volumetric mass density or specific mass) is the substance's mass per unit of volume. The symbol most often used for density is ρ (the lower case Greek letter rho), although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume: where ρ is the density, m is the mass, and V is the volume. In some cases (for instance, in the United States oil and gas industry), density is loosely defined as its weight per unit volume, although this is scientifically inaccurate – this quantity is more specifically called specific weight.

Spectral density

The power spectrum of a time series describes the distribution of power into frequency components composing that signal. According to Fourier analysis, any physical signal can be decomposed into a number of discrete frequencies, or a spectrum of frequencies over a continuous range. The statistical average of a certain signal or sort of signal (including noise) as analyzed in terms of its frequency content, is called its spectrum.

Continuous uniform distribution

In probability theory and statistics, the continuous uniform distributions or rectangular distributions are a family of symmetric probability distributions. Such a distribution describes an experiment where there is an arbitrary outcome that lies between certain bounds. The bounds are defined by the parameters, and which are the minimum and maximum values. The interval can either be closed (i.e. ) or open (i.e. ). Therefore, the distribution is often abbreviated where stands for uniform distribution.

Related publications (1)

On the necessary density for spectrum-blind nonuniform sampling

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Sampling signals with finite rate of innovation