Windowed Fourier transform of two-dimensional quaternionic signals
type: Item
instance of: scholarly article
title: Windowed Fourier transform of two-dimensional quaternionic signals
zbMATH Open document ID: 1196.42009
author: Mawardi Bahri
author: Ryuichi Ashino
author: Rémi Vaillancourt
author: Eckhard Hitzer
published in: Applied Mathematics and Computation
publication date: 2010-07-13T00:00:00Z
review text: The authors generalize the classical windowed Fourier transform to quaternion-valued 2-dimensional signals. Using the spectral representation of the quaternionic Fourier transform, they derive some properties such as reconstruction formula, reproducing kernel, isometry, orthogonality relation, and uncertainty principle. Using the Gaussian window, quaternionic Gabor filters are obtained. Some examples are given, too.
reviewed by: Manfred Tasche
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 30G30
zbMATH DE Number: 5736357
zbMATH Keywords: windowed Fourier transform
zbMATH Keywords: quaternionic windowed Fourier transform
zbMATH Keywords: quaternionic Fourier transform
zbMATH Keywords: quaternion-valued signals
zbMATH Keywords: quaternion algebra
zbMATH Keywords: quaternionic Gabor filter
zbMATH Keywords: reconstruction formula
zbMATH Keywords: reproducing kernel
zbMATH Keywords: uncertainty principle
MaRDI profile type: Publication
full work available at URL: j.amc.2010.03.082
OpenAlex ID: W2155507627
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DOI: 10.1016/J.AMC.2010.03.082
description: scientific article; zbMATH DE number 5736357