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Generalized Sampling: Stability and Performance Analysis

Publications associées (35)

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High-Resolution Acquisition Methods for Wideband Communication Systems

Martin Vetterli, Irena Maravic

We consider the problem of low-complexity timing synchronization in digital receivers for DS-CDMA and UWB systems operating over channels with single or multiple propagation paths. We extend some of our recent sampling results for certain classes of non-ba ...

2003

Sampling method, reconstruction method, and device for sampling and/or reconstructing signals

Martin Vetterli, Pina Marziliano, Thierry Blu

Reconstruction method for reconstructing a first signal (x(t)) regularly sampled at a sub-Nyquist rate, comprising the step of retrieving from the regularly spaced sampled values (ys[n], y(nT)) a set of weights (cn, cnr, ck) and shifts (tn, tk) with which ...

2003

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 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

A sampling theorem for periodic piecewise polynomial signals

Martin Vetterli, Pina Marziliano, Thierry Blu

We consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, piecewise polynomials. We demonstrate that by using an adequate sampling kernel and a sampli ...

2001

Generalized Sampling: A Variational Approach

Michaël Unser, Thierry Blu

We consider the problem of reconstructing a multidimensional and multivariate function ƒ:

ℜ ^{ m }

\rightarrow

ℜ ^{ n }

from the discretely and irregularly sampled responses of q linear shift-invariant filters. Unlike traditional approaches which r ...

SampTA2001

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

A Generalized Sampling Theory without Band-Limiting Constraints

Michaël Unser

We consider the problem of the reconstruction of a continuous-time function f(x) ∈ H from the samples of the responses of m linear shift-invariant systems sampled at 1 ⁄ m the reconstruction rate. We extend Papoulis' generalized sampling theory in two impo ...

IEEE1998

Robustness of Gauss—Newton recursive methods: A deterministic feedback analysis

Ali H. Sayed

This paper provides a time-domain feedback analysis of the robustness performance of Gauss-Newton recursive methods that are often used in identification and control. These are recursive estimators that also involve updates of sample covariance matrices. S ...

Elsevier1996

Generalized Sampling: A Variational Approach

Michaël Unser, Thierry Blu

We consider the problem of reconstructing a multidimensional and multivariate function ƒ:

ℜ ^{ m }

\rightarrow

ℜ ^{ n }

from the discretely and irregularly sampled responses of q linear shift-invariant filters. Unlike traditional approaches which r ...

SampTA2001