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An Extension of Oblique Projection Sampling Theorem

Publications associées (39)

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Sampling method reconstruction method and devices for sampling and/or reconstructing multidimensional signals

Martin Vetterli, Irena Maravic, Pier Luigi Dragotti

Reconstruction method and devices for two-dimensional signals that are not bandlimited but have a parametric representation with a finite number of degrees of freedom. The signal is reconstructed from the samples obtained after a suitable filtering with a ...

2003

Sampling With Finite Rate of Innovation: Channel and Timing Estimation for UWB and GPS

Martin Vetterli, Irena Maravic

Abstract—In this work, we consider the problem of channel estimation by using the recently developed theory for sampling of signals with a finite rate of innovation [1]. We show a framework which allows for lower than Nyquist rate sampling applicable ...

2003

MPC fault-tolerant flight control case study: Flight 1862

Colin Neil Jones

We demonstrate that the fatal crash of El Al Flight 1862 might have been avoided by using MPC-based fault-tolerant control. Simulation on a detailed nonlinear model shows that it is possible to reconfigure the controller so that the aircraft is flown succe ...

2003

Sampling signals with finite rate of innovation

Martin Vetterli, Pina Marziliano, Thierry Blu

Consider classes of signals that have a finite number of degrees of freedom per unit of time and call this number the rate of innovation. Examples of signals with a finite rate of innovation include streams of Diracs (e.g., the Poisson process), nonuniform ...

Institute of Electrical and Electronics Engineers2002

Sampling innovations

Pina Marziliano

Sampling theory has prospered extensively in the last century. The elegant mathematics and the vast number of applications are the reasons for its popularity. The applications involved in this thesis are in signal processing and communications and call out ...

EPFL2002

Sampling of communications systems with bandwidth expansion

Martin Vetterli, Andrea Ridolfi

Many communication systems are {\em bandwidth-expanding}: the transmitted signal occupies a bandwidth larger than the {\em symbol rate}. The sampling theorems of Kotelnikov, Shannon, Nyquist et al. shows that in order to represent a bandlimited signal, it ...

2002

Sampling—50 Years After Shannon

Michaël Unser

This paper presents an account of the current state of sampling, 50 years after Shannon's formulation of the sampling theorem. The emphasis is on regular sampling where the grid is uniform. This topic has benefited from a strong research revival during the ...

IEEE2000

Wavelet Projections for Volume Rendering

Michaël Unser, Martin Vetterli

We extended Gross's method of volume wavelet rendering by computing splats via an orthogonal projection operator. The method decomposes the volume data into a wavelet pyramid representation in the spline domain. The splats of the basis functions are approx ...

EUROGRAPHICS1999

The commutativity of up- and down-sampling in two dimensions

Martin Vetterli

The authors state and prove a theorem solving the problem of commutativity in two dimensions. It is shown under which conditions upsampling and downsampling can be interchanged in two dimensions. This is the generalization to arbitrary two-dimensional latt ...

1991