Publications associées à Sampling—50 Years After Shannon

Generalized L-Spline Wavelet Bases

Michaël Unser, Thierry Blu, Ildar Khalidov

We build wavelet-like functions based on a parametrized family of pseudo-differential operators

L _{ v }

that satisfy some admissibility and scalability conditions. The shifts of the generalized B-splines, which are localized versions of the Green func ...

SPIE2005

Exponential-Spline Wavelet Bases

Michaël Unser, Ildar Khalidov

We build a multiresolution analysis based on shift-invariant exponential B-spline spaces. We construct the basis functions for these spaces and for their orthogonal complements. This yields a new family of wavelet-like basis functions of

L _{ 2 }

, wit ...

IEEE2005

An Extension of Oblique Projection Sampling Theorem

Michaël Unser

In this paper, we discuss the sampling problem without a condition that was assumed in conventional sampling theorems. This means that we cannot perfectly reconstruct all functions in the reconstruction space. The perfect reconstruction is possible only fo ...

SampTA2005

Sampling methods for parametric non-bandlimited signals

Irena Maravic

Sampling theory has experienced a strong research revival over the past decade, which led to a generalization of Shannon's original theory and development of more advanced formulations with immediate relevance to signal processing and communications. For e ...

EPFL2004

Exact Sampling Results for Some Classes of Parametric Non-Bandlimited 2-D Signals

Martin Vetterli, Irena Maravic

We present sampling results for certain classes of two-dimensional signals that are not bandlimited, but have a parametric representation with a finite number of degrees of freedom. While there are many such parametric signals, it is often difficult to pro ...

2004

Channel Estimation and Synchronization with Sub-Nyquist Sampling and Application to Ultra-Wideband Systems

Martin Vetterli, Irena Maravic

We consider the problem of low-complexity channel estimation and timing in digital ultra-wideband receivers. We extend some of our recent results on sampling of certain classes of parametric non-bandlimited signals and develop a frequency domain framework ...

2004

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 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

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—50 Years After Shannon

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Generalized L-Spline Wavelet Bases

Exponential-Spline Wavelet Bases

An Extension of Oblique Projection Sampling Theorem

Sampling methods for parametric non-bandlimited signals

Exact Sampling Results for Some Classes of Parametric Non-Bandlimited 2-D Signals

Channel Estimation and Synchronization with Sub-Nyquist Sampling and Application to Ultra-Wideband Systems

High-Resolution Acquisition Methods for Wideband Communication Systems

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

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

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

Exponential-Spline Wavelet Bases

Sampling methods for parametric non-bandlimited signals

An Extension of Oblique Projection Sampling Theorem

Channel Estimation and Synchronization with Sub-Nyquist Sampling and Application to Ultra-Wideband Systems

High-Resolution Acquisition Methods for Wideband Communication Systems

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

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

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

Generalized L-Spline Wavelet Bases

Exact Sampling Results for Some Classes of Parametric Non-Bandlimited 2-D Signals