A Generalized Sampling Method for Finite-Rate-of-Innovation-Signal Reconstruction
نویسندگان
چکیده
منابع مشابه
A method for generalized sampling and reconstruction of finite-rate-of-innovation signals
We address the problem of generalized sampling and reconstruction of finite-rate-of-innovation signals. Specifically, we consider the problem of sampling streams of Dirac impulses and propose a two-channel method that enables fast, local reconstruction under some suitable conditions. We also specify some acquisition kernels and give the associated reconstruction formulas. It turns out that thes...
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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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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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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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ژورنال
عنوان ژورنال: IEEE Signal Processing Letters
سال: 2008
ISSN: 1070-9908
DOI: 10.1109/lsp.2008.2006316