Publications related to Generalized Poisson Summation Formula for Tempered Distributions

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

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function

u

in multivariate polynomial spaces

P_\Lambda:=span\{y\mapsto y^\nu \,: \, \nu\in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma:=[-1,1]^d

, based on the s ...

2017

Learning-based subsampling

Volkan Cevher, Jonathan Mark Scarlett, Ilija Bogunovic, Yen-Huan Li, Luca Baldassarre, Baran Gözcü

The present invention concerns a method of sampling a test signal. The method comprises: acquiring (21) training signals sampled at a plurality of sampling locations; running (23) an optimization procedure for determining an index set of n indices, represe ...

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

Pump-linewidth-tolerant wavelength multicasting using soliton Kerr frequency combs

Tobias Kippenberg, Maxim Karpov, Martin Hubert Peter Pfeiffer, Arne Kordts, Lin Zhang, Amirhossein Mohajerin Ariaei

We experimentally demonstrate pump-linewidth-tolerant wavelength multicasting using microresonator-based soliton Kerr frequency combs. When Kerr comb lines serve as coherent pumps in a periodically poled lithium niobate waveguide, the linewidth of the mult ...

Optical Soc Amer2017

FRIDA: FRI-Based DOA Estimation For Arbitrary Array Layouts

Martin Vetterli, Eric Bezzam, Ivan Dokmanic, Robin Scheibler, Hanjie Pan

In this paper we present FRIDA—an algorithm for estimating directions of arrival of multiple wideband sound sources. FRIDA combines multi-band information coherently and achieves state- of-the-art resolution at extremely low signal-to-noise ratios. It work ...

IEEE2017

CORRELATED MULTIPLE SAMPLING CMOS IMAGE SENSOR

Assim Boukhayma

A CMOS image sensor including at least one pixel and one circuit arranged to receive, on a first node of the circuit, an analog signal representative of the luminosity level received by the pixel, the circuit being capable of successively acquiring 2n samp ...

2016

Shapes from Pixels

Mitra Fatemi

In today's digital world, sampling is at the heart of any signal acquisition device. Imaging devices are ubiquitous examples that capture two-dimensional visual signals and store them as the pixels of discrete images. The main concern is whether and how th ...

EPFL2016

Audio inpainting with similarity graphs

Nathanaël Perraudin

In this contribution, we present a method to compensate for long duration data gaps in audio signals, in particular music. To achieve this task, a similarity graph is constructed, based on a short-time Fourier analysis of reliable signal segments, e.g. the ...

2016

Sampling Sparse Signals on the Sphere: Algorithms and Applications

Yue Lu, Ivan Dokmanic

We propose a sampling scheme that can perfectly reconstruct a collection of spikes on the sphere from samples of their lowpass-filtered observations. Central to our algorithm is a generalization of the annihilating filter method, a tool widely used in arra ...

Institute of Electrical and Electronics Engineers2016

Generalized Poisson Summation Formula for Tempered Distributions

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Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Learning-based subsampling

A Sampling Theory for Non-Decaying Signals

Pump-linewidth-tolerant wavelength multicasting using soliton Kerr frequency combs

FRIDA: FRI-Based DOA Estimation For Arbitrary Array Layouts

CORRELATED MULTIPLE SAMPLING CMOS IMAGE SENSOR

Shapes from Pixels

Audio inpainting with similarity graphs

Sampling Sparse Signals on the Sphere: Algorithms and Applications

Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Pump-linewidth-tolerant wavelength multicasting using soliton Kerr frequency combs

FRIDA: FRI-Based DOA Estimation For Arbitrary Array Layouts

Shapes from Pixels

CORRELATED MULTIPLE SAMPLING CMOS IMAGE SENSOR

A Sampling Theory for Non-Decaying Signals

Sampling Sparse Signals on the Sphere: Algorithms and Applications

Learning-based subsampling

Audio inpainting with similarity graphs