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

Publications associées (68)

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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: the noisy case

Martin Vetterli, Andrea Ridolfi, Irena Maravic

Recently 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 ...

2002

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 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 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—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

Reconstruction of irregularly sampled discrete-time bandlimited signals with unknown sampling locations

Martin Vetterli, Pina Marziliano

The purpose of this paper is to develop methods that can reconstruct a bandlimited discrete-time signal from an irreg- ular set of samples at unknown locations. We define a solution to the problem using first a geometric and then an algebraic point of view ...

2000

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