Oversampled A/D conversion and error-rate dependence of nonbandlimited 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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1961 APPENDIX 1) m-sequences: We use the notation fa a ag to denote the sequence fa 1 ; a 2 ; 111g, and fa a a k g to denote the shifted sequence fa k+1 ; a k+2 ; 1 11g. We consider a binary m-sequence fa a ag with period P. Some properties of m-sequences which will be used in our discussion in Section IV are [10] • A1: One period of an m-sequence contains exactly (P + 1)=2 ones and (P 0 1)=2 z...
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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 ...
متن کاملReconstructing Signals with Finite Rate of Innovation from Noisy Samples
A signal is said to have finite rate of innovation if it has a finite number of degrees of freedom per unit of time. Reconstructing signals with finite rate of innovation from their exact average samples has been studied in SIAM J. Math. Anal., 38(2006), 1389-1422. In this paper, we consider the problem of reconstructing signals with finite rate of innovation from their average samples in the p...
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 2006
ISSN: 1053-587X
DOI: 10.1109/tsp.2006.874363