Publications related to DETERMINING POSITIONS OF TRANSDUCERS FOR RECEIVING AND/OR TRANSMITTING WAVE SIGNALS

On the Volume of the John-Lowner Ellipsoid

We find an optimal upper bound on the volume of the John ellipsoid of a k-dimensional section of the n-dimensional cube, and an optimal lower bound on the volume of the Lowner ellipsoid of a projection of the n-dimensional cross-polytope onto a k-dimension ...

SPRINGER2020

Concentration compactness for critical radial wave maps

Joachim Krieger, Elisabetta Chiodaroli

We consider radially symmetric, energy critical wave maps from (1 + 2)-dimensional Minkowski space into the unit sphere

\mathbf{S}^m

, m≥1, and prove global regularity and scattering for classical smooth data of finite energy. In addition, we establish a ...

2018

Methods and apparatuses for versatile beamforming

Paul Hurley, Matthieu Martin Jean-André Simeoni, Giovanni Cherubini

The present invention is directed to methods and apparatuses for beamforming signals or compute beamformed signals. The present approach is to determine a series of beams from or for a set of devices configured for receiving signals from and/or transmittin ...

2017

Towards Generalized FRI Sampling with an Application to Source Resolution in Radioastronomy

Martin Vetterli, Thierry Blu, Hanjie Pan

It is a classic problem to estimate continuous-time sparse signals, like point sources in a direction-of-arrival problem, or pulses in a time-of-flight measurement. The earliest occurrence is the estimation of sinusoids in time series using Prony's method. ...

Institute of Electrical and Electronics Engineers2017

Flexibeam: Analytic Spatial Filtering By Beamforming

Paul Hurley, Matthieu Martin Jean-André Simeoni

We propose a new, general, method for spatial filtering by beam-forming. The desired filter, specified analytically on an n-dimensional sphere, is extended to n+1-dimensional Euclidean space. A continuous beamforming function is then obtained by the n+1-di ...

Ieee2016

Stability of stationary wave maps from a curved background to a sphere

Sohrab Mirshams Shahshahani

We study time and space equivariant wave maps from

M \times \mathbb{R} \rightarrow S^2

, where

M

is dieomorphic to a two dimensional sphere and admits an action of

SO(2)

by isometries. We assume that metric on

M

can be written as $dr^2+f^2(r)d\theta ...

2016

Superresolution Reconstruction for Magnetic Resonance Spectroscopic Imaging Exploiting Low-Rank Spatio-Spectral Structure

Magnetic resonance spectroscopic imaging (MRSI) is a rapidly developing medical imaging modality, capable of conferring both spatial and spectral information content, and has become a powerful clinical tool. The ability to non-invasively observe spatial ma ...

EPFL2015

High-Precision MRI Reconstruction Algorithm for 3D Sphere Packings

Daniele Mari, Arnaud Comment, Riccardo Balzan, Alessandro Luigi Sellerio

Packings of granular materials are complex systems consisting of large sets of particles interacting via contact forces. Their internal structure is interesting for several theoretical and practical reasons, especially when the model system consists in a l ...

Springer Verlag2015

Phase Retrieval for Sparse Signals: Uniqueness Conditions

Martin Vetterli, Yue Lu, Juri Ranieri, Amina Chebira

In a variety of fields, in particular those involving imaging and optics, we often measure signals whose phase is missing or has been irremediably distorted. Phase retrieval attempts the recovery of the phase information of a signal from the magnitude of i ...

2013

Method and system for computing Fourier series coefficients for mask layouts using FFT

Paul Hurley, Robin Scheibler, Krzysztof Kryszczuk

A method and system for computing Fourier coefficients for a Fourier representation of a mask transmission function for a lithography mask. The method includes: sampling a polygon of a mask pattern of the lithography mask to obtain an indicator function wh ...

United States Patent and Trademark Office2013

DETERMINING POSITIONS OF TRANSDUCERS FOR RECEIVING AND/OR TRANSMITTING WAVE SIGNALS

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On the Volume of the John-Lowner Ellipsoid

Concentration compactness for critical radial wave maps

Methods and apparatuses for versatile beamforming

Towards Generalized FRI Sampling with an Application to Source Resolution in Radioastronomy

Flexibeam: Analytic Spatial Filtering By Beamforming

Stability of stationary wave maps from a curved background to a sphere

Superresolution Reconstruction for Magnetic Resonance Spectroscopic Imaging Exploiting Low-Rank Spatio-Spectral Structure

High-Precision MRI Reconstruction Algorithm for 3D Sphere Packings

Phase Retrieval for Sparse Signals: Uniqueness Conditions

Method and system for computing Fourier series coefficients for mask layouts using FFT

On the Volume of the John-Lowner Ellipsoid

Methods and apparatuses for versatile beamforming

Method and system for computing Fourier series coefficients for mask layouts using FFT

Stability of stationary wave maps from a curved background to a sphere

Flexibeam: Analytic Spatial Filtering By Beamforming

Concentration compactness for critical radial wave maps

Superresolution Reconstruction for Magnetic Resonance Spectroscopic Imaging Exploiting Low-Rank Spatio-Spectral Structure

Towards Generalized FRI Sampling with an Application to Source Resolution in Radioastronomy

Phase Retrieval for Sparse Signals: Uniqueness Conditions

High-Precision MRI Reconstruction Algorithm for 3D Sphere Packings