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IEEE Transactions on Signal Processing
Article . 2008 . Peer-reviewed
License: IEEE Copyright
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2006
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
DBLP
Article . 2020
Data sources: DBLP
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Fast Complexified Quaternion Fourier Transform

Authors: Salem Said; Nicolas Le Bihan; Stephen J. Sangwine;

Fast Complexified Quaternion Fourier Transform

Abstract

A discrete complexified quaternion Fourier transform is introduced. This is a generalization of the discrete quaternion Fourier transform to the case where either or both of the signal/image and the transform kernel are complex quaternion-valued. It is shown how to compute the transform using four standard complex Fourier transforms and the properties of the transform are briefly discussed.

Countries
United Kingdom, France
Related Organizations
Keywords

Mathematics - Functional Analysis, QA75 Electronic computers. Computer science, [INFO.INFO-IR]Computer Science [cs]/Information Retrieval [cs.IR], FOS: Mathematics, 65T50, QA Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 004, 510, Functional Analysis (math.FA)

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    64
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
64
Top 10%
Top 10%
Top 10%
Green
bronze