The recovery of distorted band-limited signals
نویسندگان
چکیده
منابع مشابه
The Recovery of Distorted Band-Limited Signals
In this paper we devise a method for recovering band limited signals which have been subjected to a distorting procedure called companding. A band limited signal is a function in L2 whose Fourier transform vanishes outside of a bounded interval. In practice most real signals are in this class since they have no indefinitely high frequency components. The operation of companding a signal f(t) co...
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This paper deals with the problem of recovering a bandlimited process after it has been distorted by an instantaneous nonf(t) uniquely. More precisely, if fi(t) and fi(t) are two linearity and subsequently band-limited. Several uniqueness theorems for functions band-limited to (W,W), and if A[f,(t)] and the input-output relationships are derived. In contrast with the deterA[fi(t)] have spectra ...
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The problem of reconstruction of band-limited signals from discrete and noisy data is studied. The reconstruction schemes employing cardinal expansions are proposed and their asymptotical properties are examined. In particular, the conditions for the convergence of the mean integrated squared errors are found and the rate of convergence is evaluated. The main difference between the proposed rec...
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In this paper we study the eigenvalues of a matrix S which arises in the recovery of lost samples from oversampled band-limited signals. Emphasis is placed on the variation of the eigenvalues as a function of the distribution of the missing samples and as a function of the oversampling parameter. We present a number of results which help to understand the numerical difficulties that may occur i...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1961
ISSN: 0022-247X
DOI: 10.1016/0022-247x(61)90047-6