Sampling Schemes for Multidimensional Signals With Finite Rate of Innovation
نویسندگان
چکیده
منابع مشابه
Sampling signals with finite rate of innovation
Consider classes of signals which have a ̄nite number of degrees of freedom per unit of time, and call this number the rate of innovation of a signal. Examples of signals with ̄nite rate of innovation include stream of Diracs (e.g. the Poisson process), non-uniform splines and piecewise polynomials. Eventhough these signals are not bandlimited, we show that they can be sampled uniformly at (or ab...
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Analyses of electroencephalographic signals and subsequent diagnoses can only be done effectively on long term recordings that preserve the signals’ morphologies. Currently, electroencephalographic signals are obtained at Nyquist rate or higher, thus introducing redundancies. Existing compression methods remove these redundancies, thereby achieving compression. We propose an alternative compres...
متن کاملSampling signals with finite rate of innovation: the noisy case
In [1] a sampling theorem for a certain class of signals with finite rate of innovation (which includes for example stream of Diracs) has been developed. In essence, such non band-limited signals can be sampled at or above the rate of innovation. In the present paper, we consider the case of such signals when noise is present. Clearly, the finite rate of innovation property is lost, but if the ...
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The theory of Finite Rate of Innovation (FRI) broadened the traditional sampling paradigm to certain classes of parametric signals. In the presence of noise, the original procedures are not as stable, and a different treatment is needed. In this paper we review the ideal FRI sampling scheme and some of the existing techniques to combat noise. We then present alternative denoising methods for th...
متن کاملNonuniform Average Sampling and Reconstruction of Signals with Finite Rate of Innovation
From an average (ideal) sampling/reconstruction process, the question arises whether and how the original signal can be recovered from its average (ideal) samples. We consider the above question under the assumption that the original signal comes from a prototypical space modelling signals with finite rate of innovation, which includes finitely-generated shift-invariant spaces, twisted shift-in...
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 2007
ISSN: 1053-587X
DOI: 10.1109/tsp.2007.894259