The Geometry of Coherence and Its Application to Cyclostationary Time Series

Stephen D. Howard; Songsri Sirianunpiboon; Douglas Cochran

doi:10.1109/SSP.2018.8450812

The Geometry of Coherence and Its Application to Cyclostationary Time Series

Stephen D. Howard, Songsri Sirianunpiboon, Douglas Cochran

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

4 Scopus citations

Abstract

The consequences of cyclostationary structure in a random process have traditionally been described in terms of the correlation or coherence of pairs of particular time and frequency shifted versions of the process. However, cyclostationarity, and more generally almost cyclostationarity, are manifest in the mutual coherence of subspaces spanned by sets of time and frequency shifted versions of the process. The generalized coherence framework allows any finite collection of pertinent samples of the cyclic autocorrelation function estimates formed from the measured signal data to be combined into a detection statistic. This paper develops the subspace coherence theory of almost cyclostationary processes as a guide to constructing such detectors in both the time and spectral domains.

Original language	English (US)
Title of host publication	2018 IEEE Statistical Signal Processing Workshop, SSP 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	766-770
Number of pages	5
ISBN (Print)	9781538615706
DOIs	https://doi.org/10.1109/SSP.2018.8450812
State	Published - Aug 29 2018
Event	20th IEEE Statistical Signal Processing Workshop, SSP 2018 - Freiburg im Breisgau, Germany Duration: Jun 10 2018 → Jun 13 2018

Publication series

Name	2018 IEEE Statistical Signal Processing Workshop, SSP 2018

Other

Other	20th IEEE Statistical Signal Processing Workshop, SSP 2018
Country/Territory	Germany
City	Freiburg im Breisgau
Period	6/10/18 → 6/13/18

Keywords

Coherence
Cyclostationarity
Multiple-channel detection

ASJC Scopus subject areas

Signal Processing
Instrumentation
Computer Networks and Communications

Access to Document

10.1109/SSP.2018.8450812

Cite this

Howard, S. D., Sirianunpiboon, S., & Cochran, D. (2018). The Geometry of Coherence and Its Application to Cyclostationary Time Series. In 2018 IEEE Statistical Signal Processing Workshop, SSP 2018 (pp. 766-770). Article 8450812 (2018 IEEE Statistical Signal Processing Workshop, SSP 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SSP.2018.8450812

The Geometry of Coherence and Its Application to Cyclostationary Time Series. / Howard, Stephen D.; Sirianunpiboon, Songsri; Cochran, Douglas.
2018 IEEE Statistical Signal Processing Workshop, SSP 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 766-770 8450812 (2018 IEEE Statistical Signal Processing Workshop, SSP 2018).

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

Howard, SD, Sirianunpiboon, S & Cochran, D 2018, The Geometry of Coherence and Its Application to Cyclostationary Time Series. in 2018 IEEE Statistical Signal Processing Workshop, SSP 2018., 8450812, 2018 IEEE Statistical Signal Processing Workshop, SSP 2018, Institute of Electrical and Electronics Engineers Inc., pp. 766-770, 20th IEEE Statistical Signal Processing Workshop, SSP 2018, Freiburg im Breisgau, Germany, 6/10/18. https://doi.org/10.1109/SSP.2018.8450812

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The Geometry of Coherence and Its Application to Cyclostationary Time Series

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