Concept

Théorème d'échantillonnage

Publications associées (268)

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Reduction of the MSE in R-times oversampled A/D conversion from O(1/R) to O(1/R^2)

Martin Vetterli

In oversampled analog-to-digital conversion, the usual reconstruction method using lowpass filtering leads to a mean squared error (MSE) inversely proportional to the oversampling ratio R. The authors prove, under certain assumptions and with periodic anal ...

1994

Wavelets and Filter Banks: Theory and Design

Martin Vetterli

The wavelet transform is compared with the more classical short-time Fourier transform approach to signal analysis. Then the relations between wavelets, filter banks, and multiresolution signal processing are explored. A brief review is given of perfect re ...

1992

Adaptive filtering in sub-bands with critical sampling: analysis, experiments, and application to acoustic echo cancellation

Martin Vetterli

An exact analysis of the critically subsampled two-band modelization scheme is given, and it is demonstrated that adaptive cross-filters between the subbands are necessary for modelization with small output errors. It is shown that perfect reconstruction f ...

Institute of Electrical and Electronics Engineers1992

Perfect reconstruction filter banks for HDTV representation and coding

Martin Vetterli

subband decompisition of HDTV signlas is important both for representation purpose (to create compatible subchannels) and fro coding (several proposed compression schemes include some subband division). We first review perfect reconstruction filter banks i ...

1990

Theory of two-dimensional multirate filter banks

Martin Vetterli

Results are presented on 2-D FIR (two-dimensional finite-impulse-response) filter banks for multirate applications. The theory is valid for all sampling lattices; conditions for alias-free and perfect signal reconstruction are derived. Synthesis structures ...

1990

Perfect reconstruction FIR filter banks: some properties and factorizations

Martin Vetterli

Perfect reconstruction finite impulse-response (FIR) filter banks are analyzed both in the z-transform and time domains, showing the alternatives between designs in the two domains. Various classes of perfect reconstruction schemes are indicated, and relat ...

1989

Outline phase control for character rasterization

Roger Hersch

Character rasterization on middle-resolution output devices (screens, laser printers) is one of the most difficult tasks in the domain of resolution-independent raster imaging. Low sampling leads to unacceptable low-quality discrete character shapes. Bette ...

North-Holland1988

Fundamental relations between the LMS algorithm and the DFT

Martin Vetterli

The digital Fourier transform (DFT) and the adaptive least mean square (LMS) algorithm have existed for some time. This paper establishes a connection between them. The result is the "LMS spectrum analyzer," a new means for the calculation of the DFT. The ...

1987