Quaternion structured paranormal distributions

Yonatan Woodbridge, Gal Elidan, Ami Wiesel

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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 languageAmerican English
Title of host publicationConference Record of the 50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016
EditorsMichael B. Matthews
PublisherIEEE Computer Society
Number of pages5
ISBN (Electronic)9781538639542
StatePublished - 1 Mar 2017
Event50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016 - Pacific Grove, United States
Duration: 6 Nov 20169 Nov 2016

Publication series

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


Conference50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016
Country/TerritoryUnited States
CityPacific Grove

Bibliographical note

Publisher Copyright:
© 2016 IEEE.


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