Quaternion structured paranormal distributions

Yonatan Woodbridge; Gal Elidan; Ami Wiesel

doi:10.1109/ACSSC.2016.7869160

Quaternion structured paranormal distributions

Yonatan Woodbridge, Gal Elidan, Ami Wiesel

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Quaternions, a four dimensional extension of complex numbers, are increasingly being used in various signal processing applications. At the same time, there are few probabilistic representations for capturing such random variables. In this work we present a new copula-based distribution over quaternions. The distribution extends the classical Gaussian and independent distributions, while maintaining the circular symmetry conditions required by such applications, namely properness. Importantly, the new distribution allows for flexible control of both the marginals and the correlations. We develop methods for estimating the parameters of the new distribution, and demonstrate its potential advantages via numerical experiments.

Original language	English
Title of host publication	Conference Record of the 50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016
Editors	Michael B. Matthews
Publisher	IEEE Computer Society
Pages	815-819
Number of pages	5
ISBN (Electronic)	9781538639542
DOIs	https://doi.org/10.1109/ACSSC.2016.7869160
State	Published - 1 Mar 2017
Event	50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016 - Pacific Grove, United States Duration: 6 Nov 2016 → 9 Nov 2016

Publication series

Name	Conference Record - Asilomar Conference on Signals, Systems and Computers
ISSN (Print)	1058-6393

Conference

Conference	50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016
Country/Territory	United States
City	Pacific Grove
Period	6/11/16 → 9/11/16

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

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10.1109/ACSSC.2016.7869160

Cite this

Woodbridge, Y., Elidan, G., & Wiesel, A. (2017). Quaternion structured paranormal distributions. In M. B. Matthews (Ed.), Conference Record of the 50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016 (pp. 815-819). Article 7869160 (Conference Record - Asilomar Conference on Signals, Systems and Computers). IEEE Computer Society. https://doi.org/10.1109/ACSSC.2016.7869160

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author = "Yonatan Woodbridge and Gal Elidan and Ami Wiesel",

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Woodbridge, Y, Elidan, G & Wiesel, A 2017, Quaternion structured paranormal distributions. in MB Matthews (ed.), Conference Record of the 50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016., 7869160, Conference Record - Asilomar Conference on Signals, Systems and Computers, IEEE Computer Society, pp. 815-819, 50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016, Pacific Grove, United States, 6/11/16. https://doi.org/10.1109/ACSSC.2016.7869160

Quaternion structured paranormal distributions. / Woodbridge, Yonatan; Elidan, Gal ; Wiesel, Ami.
Conference Record of the 50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016. ed. / Michael B. Matthews. IEEE Computer Society, 2017. p. 815-819 7869160 (Conference Record - Asilomar Conference on Signals, Systems and Computers).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Quaternion structured paranormal distributions

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