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Attributing Aliasing Artifacts in Dirty Intensity Fields to their Parent Source

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The Plenacoustic Function and its Sampling

Martin Vetterli, Luciano Sbaiz, Thibaut Ajdler

We study the spatialization of the sound field in a room, in particular the evolution of room impulse responses as a function of their spatial positions. We observe that the multidimensional spectrum of the solution of the wave equation has an almost bandl ...

2005

Super-Resolution from Highly Undersampled Images

Martin Vetterli, Sabine Süsstrunk, Luciano Sbaiz, Patrick Vandewalle

Aliasing artifacts in images are visually very disturbing. Therefore, most imaging devices apply a low-pass filter before sampling. This removes all aliasing from the image, but it also creates a blurred image. Actually, all the image information above hal ...

2005

The plenacoustic function on the circle with application to HRTF interpolation

Martin Vetterli, Luciano Sbaiz, Thibaut Ajdler

The sampling of the soundfield using circular microphone arrays is studied. We give a new representation of the soundfield sampled on such an array using the two-dimensional Fourier transform. We then show how we can reconstruct the soundfield at all possi ...

2005

An Interpolated Dynamic Navigation Function

Roland Siegwart, Roland Philippsen

The E-star algorithm is a path planning method capable of dynamic replanning and user-configurable path cost interpolation. It calculates a navigation function as a sampling of an underlying smooth goal distance that takes into account a continuous notion ...

2005

Salt Removal During Off-GelTM Electrophoresis of Protein Samples

Hubert Girault, Niels Erik Lion, Christophe Roussel

The Off-Gel™ technology was recently described for protein fractionation in a solution placed on top of an immobilized pH gradient gel. In addition, this process was found to remove salts from the biological samples to analyze. This desalting effect is stu ...

2005

Finite length analysis of LT codes

Mohammad Amin Shokrollahi

This paper provides an efficient method for analyzing the error probability of the belief propagation (BP) decoder applied to LT Codes. Each output symbol is generated independently by sampling from a distribution and adding the input symbols corresponding ...

2004

Interpolation method and apparatus

Michaël Unser, Philippe Thévenaz, Thierry Blu

Method of interpolating digital samples (fN, fn) using interpolation functions ( psi , psi (x-x0)) that are shifted by an arbitrary shift value (x0) relative to said samples (fN, fn). It will be shown that there is a non-zero and non-trivial optimal value ...

2003

Interpolation of Signals by Generalized Piecewise-Linear Multiple Generators

Michaël Unser, Thierry Blu

This paper presents an interpolation method based on shifted versions of two piecewise linear generators, which provides approximation order 2 like usual piecewise-linear interpolation; i.e., this method is able to represent the constant and the ramp exact ...

IEEE2003

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

Sample pretreatment on microfabricated devices

Nico de Rooij

The integration of sample pretreatment into microfluidic devices represents one of the remaining hurdles towards achieving true miniaturized total analysis systems (μTAS). The challenge is made more complex by the enormous variation in samples to be analyz ...

2002