منابع مشابه
On restoring band-limited signals
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...
متن کاملChirplet Approximation of Band-Limited, Real Signals Made Easy
In this paper we present algorithms for approximating real bandlimited signals by multiple Gaussian Chirps. These algorithms do not rely on matching pursuit ideas. They are hierarchial and, at each stage, the number of terms in a given approximation depends only on the number of positive-valued maxima and negative-valued minima of a signed amplitude function characterizing part of the signal. L...
متن کاملThe 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...
متن کاملSampling and nonlinear approximation of band limited signals in mean oscillation spaces
| This paper deals with the nonlin-ear approximation of band limited signals using their sampled values on an appropriate discrete set. Some spaces of sequences introduced by the author in previous work are used to measure the oscillation of such signals. These spaces can be viewed as discrete versions of Sobolev or, more generally, Beosv spaces. A discrete wavelet type characterization of sign...
متن کاملHigh Frequency Reconstruction for Band-limited Audio Signals
Current existing digital audio signals are always restricted by sampling rates and bandwidth fit for the various storages and communication bandwidth. Take for example the widely spread mp3 tracks encoded by the standard MPEG1 layer 3. The audio bandwidth in MP3 is restricted to 16 kHz due to the protocols constraints defined. This paper presents the method to reconstruct the lost high frequenc...
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ژورنال
عنوان ژورنال: Journal of Complexity
سال: 1989
ISSN: 0885-064X
DOI: 10.1016/0885-064x(89)90026-5