Higher-dimensional coherence of subspaces

Stephen D. Howard, Songsri Sirianunpiboon, Douglas Cochran

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

A measure of the smallest angle between two p-dimensional subspaces of a higher-dimensional vector space is introduced. This p-coherence is seen to generalize standard measures of coherence, and its relationship to canonical correlation is noted. The use of p-coherence as a test statistic for the presence of a common p-dimensional signal subspace in data collected by two arrays of K > p sensors is proposed.

Original languageEnglish (US)
Title of host publication2015 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5674-5678
Number of pages5
ISBN (Electronic)9781467369978
DOIs
StatePublished - Aug 4 2015
Event40th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Brisbane, Australia
Duration: Apr 19 2014Apr 24 2014

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume2015-August
ISSN (Print)1520-6149

Other

Other40th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015
CountryAustralia
CityBrisbane
Period4/19/144/24/14

Keywords

  • Canonical correlation
  • Coherence
  • Exterior algebra
  • Multi-channel detection

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Higher-dimensional coherence of subspaces'. Together they form a unique fingerprint.

  • Cite this

    Howard, S. D., Sirianunpiboon, S., & Cochran, D. (2015). Higher-dimensional coherence of subspaces. In 2015 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Proceedings (pp. 5674-5678). [7179058] (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2015-August). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2015.7179058