Concept

Parseval's theorem

Related publications (9)

Sequential in cis mutagenesis in vivo reveals various functions for CTCF sites at the mouse HoxD cluster

Denis Duboule, Lucille Delisle, Jozsef Zakany, Leonardo Beccari

In this study, Amandio et al. sought to understand the functions of the highly conserved CTCF sites distributed over the Hox gene clusters. The authors produced an allelic series of cumulative in cis mutations in these sites, up to the abrogation of CTCF b ...

COLD SPRING HARBOR LAB PRESS, PUBLICATIONS DEPT2021

Harmonic analysis and mean field theory

Denis Karateev

We review some aspects of harmonic analysis for the Euclidean conformal group, including conformally-invariant pairings, the Plancherel measure, and the shadow transform. We introduce two efficient methods for computing these quantities: one based on weigh ...

Springer2019

Sound Field Analysis Along a Circle and its Application to HRTF Interpolation

Martin Vetterli, Christof Faller, Luciano Sbaiz, Thibaut Ajdler

The sampling and interpolation of a sound field in two and three dimensions along a circle is discussed. The Fourier domain representation of the sound field is used, and an angular sampling theorem is developed for the sampling of the sound field along a ...

2008

Femtosecond Fluorescence and Intersystem Crossing in Rhenium(I) Carbonyl-Bipyridine Complexes

Majed Chergui, Andrea Cannizzo, Amal El Nahhas

Ultrafast electronic-vibrational relaxation upon excitation of the singlet charge-transfer b1A' state of [Re(L)(CO)3(bpy)]n (L = Cl, Br, I, n = 0; L = 4-Et-pyridine, n = 1+) in acetonitrile was investigated using the femtosecond fluorescence up-conversion ...

2008

Nitrous Oxide Decomposition on the Binuclear $\left$ Center in Fe-ZSM-5 Zeolite

The reaction mechanism for nitrous oxide (

{N}_{2}O

) direct decomposition into molecular nitrogen and oxygen was studied on binuclear iron sites in Fe-ZSM-5 zeolite using the density functional theory (DFT). Starting from the hydroxylated bi-iron complex ...

2008

On Interpolation and Resampling of Discrete Data

Pouya Dehghani Tafti

This letter introduces a new representation of discrete signals based on the mathematical notions of functionals and continuous dual spaces. A new and more general sampling theorem is also suggested. Next, the problems of interpolating and resampling discr ...

IEEE2006

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

Method and wireless communication using unitary space-time signal constellations

Mohammad Amin Shokrollahi

Disclosed is a method for wireless signal transmission of signals from an array of two or more antennas, in which each signal to be transmitted is selected from a constellation of unitary space-time signals. Each unitary space-time signal is a unitary matr ...

2004

An Error Analysis for the Sampling of Periodic Signals

Michaël Unser, Thierry Blu, Mathews Jacob

We analyze the representation of periodic signals in a scaling function basis. This representation is sufficiently general to include the widely used approximation schemes like wavelets, splines and Fourier series representation. We derive a closed form ex ...

SampTA2001

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Nitrous Oxide Decomposition on the Binuclear $\left$ Center in Fe-ZSM-5 Zeolite

The reaction mechanism for nitrous oxide (

{N}_{2}O

2008