Publications related to Signal Processing in Space and Time

Analytical Time-Domain Solution of Plane Wave Propagation Across a Viscoelastic Rock Joint

The effects of viscoelastic filled rock joints on wave propagation are of great significance in rock engineering. The solutions in time domain for plane longitudinal ( P-) and transverse ( S-) waves propagation across a viscoelastic rock joint are derived ...

Springer Verlag2017

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

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

Discreteness of interior transmission eigenvalues revisited

Hoài-Minh Nguyên, Quoc Hung Nguyen

This paper is devoted to the discreteness of the transmission eigenvalue problems. It is known that this problem is not self-adjoint and a priori estimates are non-standard and do not hold in general. Two approaches are used. The first one is based on the ...

Springer Verlag2017

Media item relighting technique

Martin Vetterli, Loïc Arnaud Baboulaz, Damien Firmenich, Niranjan Thanikachalam

The present invention concerns a method of method of relighting a media item comprising media elements. The method comprises, for at least some of the media elements: determining, in a first signal domain, a light transport function describing the appearan ...

2017

Compressive Sampling Using Annihilating Filter-Based Low-Rank Interpolation

Kyong Hwan Jin

While the recent theory of compressed sensing provides an opportunity to overcome the Nyquist limit in recovering sparse signals, a solution approach usually takes the form of an inverse problem of an unknown signal, which is crucially dependent on specifi ...

IEEE2017

Large Sieve Inequalities for Algebraic Trace Functions

Philippe Michel, Ping Xi

The large sieve inequalities for algebraic trace functions are considered in this article. A fundamental iterative relation is established by classical Fourier analysis, and l-adic Fourier analysis and multiplicative convolutions of sheaves are also requir ...

Oxford Univ Press2017

Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth

Michaël Unser, John Paul Ward, Quy Ha Nguyen

The Poisson summation formula (PSF) describes the equivalence between the sampling of an analog signal and the periodization of its frequency spectrum. In engineering textbooks, the PSF is usually stated formally without explicit conditions on the signal f ...

2017

A Sampling Theory for Non-Decaying Signals

Michaël Unser, Quy Ha Nguyen

The classical assumption in sampling and spline theories is that the input signal is square-integrable, which prevents us from applying such techniques to signals that do not decay or even grow at infinity. In this paper, we develop a sampling theory for m ...

2017

Signal Analysis Based on Complex Wavelet Signs

Martin Kurt Storath

We propose a signal analysis tool based on the sign (or the phase) of complex wavelet coefficients, which we call a signature. The signature is defined as the fine-scale limit of the signs of a signal's complex wavelet coefficients. We show that the signat ...

Elsevier2017

Signal Processing in Space and Time

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Analytical Time-Domain Solution of Plane Wave Propagation Across a Viscoelastic Rock Joint

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

Discreteness of interior transmission eigenvalues revisited

Media item relighting technique

Compressive Sampling Using Annihilating Filter-Based Low-Rank Interpolation

Large Sieve Inequalities for Algebraic Trace Functions

Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth

A Sampling Theory for Non-Decaying Signals

Signal Analysis Based on Complex Wavelet Signs

Analytical Time-Domain Solution of Plane Wave Propagation Across a Viscoelastic Rock Joint

An Adaptive Sublinear-Time Block Sparse Fourier Transform

Media item relighting technique

Compressive Sampling Using Annihilating Filter-Based Low-Rank Interpolation

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

Discreteness of interior transmission eigenvalues revisited

Large Sieve Inequalities for Algebraic Trace Functions

Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth

A Sampling Theory for Non-Decaying Signals

Signal Analysis Based on Complex Wavelet Signs