Embedding the Finite Sampling Process at a Rate
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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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: The Annals of Probability
سال: 1991
ISSN: 0091-1798
DOI: 10.1214/aop/1176990453