A unique polar representation of the hyperanalytic signal

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Title:Main Title: A unique polar representation of the hyperanalytic signal
Description:Abstract: The hyperanalytic signal is the straight forward generalization of the classical analytic signal. It is defined by a complexification of two canonical complex signals, which can be considered as an inverse operation of the Cayley-Dickson form of the quaternion. Inspired by the polar form of an analytic signal where the real instantaneous envelope and phase can be determined, this paper presents a novel method to generate a polar representation of the hyperanalytic signal, in which the continuously complex envelope and phase can be uniquely defined. Comparing to other existing methods, the proposed polar representation does not have sign ambiguity between the envelope and the phase, which makes the definition of the instantaneous complex frequency possible.
Identifier:http://arxiv.org/abs/1403.0738 (URL)
Responsible Party
Creators:Boqiang Huang (Author), Angela Kunoth (Author)
Publisher:arXiv
Publication Year:2014
Topic
TR32 Topic:Other
Related Subproject:C1
Subjects:Keyword: hyperanalytic signal
GEMET Thesaurus entry: mathematical analysis
File Details
Filename:Huang_2014_IEEE_ICASSP.pdf
Data Type:Text - Event Paper
File Size:205 KB
Date:Submitted: 04.03.2014
Mime Type:application/pdf
Data Format:PDF
Language:English
Status:Completed
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Download Permission:Only Project Members
Download Information:License information: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
General Access and Use Conditions:For internal use in TR32 only.
Access Limitations:For internal use in TR32 only.
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Publication Status:Peer-Reviewed
Review Status:Peer reviewed
Publication Type:Event Paper
Number of Pages:5 (1 - 5)
Event:2014 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)
Event Type:Conference
Event Location:Florence, Italy
Event Duration:4th of May, 2014 - 9th of May, 2014
Event Website:http://www.icassp2014.org/home.html
Metadata Details
Metadata Creator:Angela Kunoth
Metadata Created:16.07.2014
Metadata Last Updated:16.07.2014
Subproject:C1
Funding Phase:2
Metadata Language:English
Metadata Version:V50
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