Publications related to Fourier Sampling in Signal Processing and Numerical Linear Algebra

Compressive Multiplexing of Ultrasound Signals

Jean-Philippe Thiran, Yves Wiaux, Dimitris Perdios, Marcel Arditi, Adrien Besson

High-quality 3D ultrasound (US) imaging requires dense matrix-array probes with thousands of elements and necessitates an unrealistic number of coaxial cables to connect such probes to back-end systems. To address this issue, many techniques have been deve ...

IEEE2018

Fast cross-correlation based wrist vein recognition algorithm with rotation and translation compensation

Sébastien Marcel, André Anjos, Teodors Eglitis

Most of the research on vein biometrics addresses the problems of either palm or finger vein recognition with a considerably smaller emphasis on wrist vein modality. This paper paves the way to a better understanding of capabilities and challenges in the f ...

2018

Sampling Continuous-time Sparse Signals: A Frequency-domain Perspective

Martin Vetterli, Benjamin Bejar Haro

We address the problem of sampling and reconstruction of sparse signals with finite rate of innovation. We derive general conditions under which perfect reconstruction is possible for sampling kernels satisfying Strang-Fix conditions. Previous results on t ...

2018

Fast multiscale reconstruction for Cryo-EM

Michaël Unser, Laurène Donati, Masih Nilchian

We present a multiscale reconstruction framework for single-particle analysis (SPA). The representation of three-dimensional (3D) objects with scaled basis functions permits the reconstruction of volumes at any desired scale in the real-space. This multisc ...

2018

Performance analysis of frequency shift estimation techniques in Brillouin distributed fiber sensors

Luc Thévenaz, Zhisheng Yang

The performance of post-processing techniques carried out on the Brillouin gain spectrum to estimate the Brillouin frequency shift (BFS) in standard Brillouin distributed sensors is evaluated. Curve fitting methods with standard functions such as polynomia ...

2018

Exact Smooth Term Structure Estimation

Damir Filipovic, Sander Félix M Willems

We present a non-parametric method to estimate the discount curve from market quotes based on the Moore-Penrose pseudoinverse. The discount curve reproduces the market quotes perfectly, has maximal smoothness, and is given in closed-form. The method is eas ...

2018

Exact Smooth Term-Structure Estimation

Damir Filipovic, Sander Félix M Willems

We present a nonparametric method to estimate the discount curve from market quotes based on the Moore-Penrose pseudoinverse. The discount curve reproduces the market quotes perfectly, has maximal smoothness, and is given in closed-form. The method is easy ...

SIAM PUBLICATIONS2018

An Adaptive Sublinear-Time Block Sparse Fourier Transform

Volkan Cevher, Mikhail Kapralov, Jonathan Mark Scarlett, Amir Zandieh

The problem of approximately computing the

k

dominant Fourier coefficients of a vector

X

quickly, and using few samples in time domain, is known as the Sparse Fourier Transform (sparse FFT) problem. A long line of work on the sparse FFT has resulted in ...

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

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

Nikola Besic, Urs Martin Germann, Daniele Nerini

In this paper we present a non-stationary stochastic generator for radar rainfall fields based on the short-space Fourier transform (SSFT). The statistical properties of rainfall fields often exhibit significant spatial heterogeneity due to variability in ...

Copernicus GmbH2017

Fourier Sampling in Signal Processing and Numerical Linear Algebra

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Compressive Multiplexing of Ultrasound Signals

Fast cross-correlation based wrist vein recognition algorithm with rotation and translation compensation

Sampling Continuous-time Sparse Signals: A Frequency-domain Perspective

Fast multiscale reconstruction for Cryo-EM

Performance analysis of frequency shift estimation techniques in Brillouin distributed fiber sensors

Exact Smooth Term Structure Estimation

Exact Smooth Term-Structure Estimation

An Adaptive Sublinear-Time Block Sparse Fourier Transform

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

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

Fast multiscale reconstruction for Cryo-EM

Sampling Continuous-time Sparse Signals: A Frequency-domain Perspective

Performance analysis of frequency shift estimation techniques in Brillouin distributed fiber sensors

Exact Smooth Term-Structure Estimation

An Adaptive Sublinear-Time Block Sparse Fourier Transform

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

Compressive Multiplexing of Ultrasound Signals

Fast cross-correlation based wrist vein recognition algorithm with rotation and translation compensation

Exact Smooth Term Structure Estimation

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