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Coherence Expectation Minimisation and Combining Weighted Multitaper Estimates

Keding, Oskar LU ; Akesson, Maria LU and Sandsten, Maria LU (2023) 31st European Signal Processing Conference, EUSIPCO 2023 In European Signal Processing Conference p.1993-1997
Abstract

Coherence is a useful measure in many engineering applications. Here, we focus on the case where the input signal to a linear system can be measured free from noise, but the output signal is perturbed by noise. A novel expression for the expectation of a multitaper magnitude squared coherence estimate for this case is presented and verified through numerical evaluation. Additionally, the expression is used to optimise a multitaper coherence estimation method, which gives improved coherence estimation in detection. A clever combination of two weighted magnitude squared coherence multitaper estimators yields a new method, called Combined Weighted Multitaper Coherence (CWMC). The method is evaluated and compared to the Thomson multitaper... (More)

Coherence is a useful measure in many engineering applications. Here, we focus on the case where the input signal to a linear system can be measured free from noise, but the output signal is perturbed by noise. A novel expression for the expectation of a multitaper magnitude squared coherence estimate for this case is presented and verified through numerical evaluation. Additionally, the expression is used to optimise a multitaper coherence estimation method, which gives improved coherence estimation in detection. A clever combination of two weighted magnitude squared coherence multitaper estimators yields a new method, called Combined Weighted Multitaper Coherence (CWMC). The method is evaluated and compared to the Thomson multitaper method for simulated data and on real visual evoked potential electroencephalogram data, showing consistent improvement using CWMC.

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Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
coherence, magnitude squared coherence, multitaper, signal detection, spectral analysis
host publication
31st European Signal Processing Conference, EUSIPCO 2023 - Proceedings
series title
European Signal Processing Conference
pages
5 pages
publisher
European Signal Processing Conference, EUSIPCO
conference name
31st European Signal Processing Conference, EUSIPCO 2023
conference location
Helsinki, Finland
conference dates
2023-09-04 - 2023-09-08
external identifiers
  • scopus:85178328791
ISSN
2219-5491
ISBN
9789464593600
DOI
10.23919/EUSIPCO58844.2023.10289813
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2023 European Signal Processing Conference, EUSIPCO. All rights reserved.
id
e4566bc0-588e-45f3-9637-2c72875fc78f
date added to LUP
2024-01-08 11:09:09
date last changed
2025-04-04 14:00:04
@inproceedings{e4566bc0-588e-45f3-9637-2c72875fc78f,
  abstract     = {{<p>Coherence is a useful measure in many engineering applications. Here, we focus on the case where the input signal to a linear system can be measured free from noise, but the output signal is perturbed by noise. A novel expression for the expectation of a multitaper magnitude squared coherence estimate for this case is presented and verified through numerical evaluation. Additionally, the expression is used to optimise a multitaper coherence estimation method, which gives improved coherence estimation in detection. A clever combination of two weighted magnitude squared coherence multitaper estimators yields a new method, called Combined Weighted Multitaper Coherence (CWMC). The method is evaluated and compared to the Thomson multitaper method for simulated data and on real visual evoked potential electroencephalogram data, showing consistent improvement using CWMC.</p>}},
  author       = {{Keding, Oskar and Akesson, Maria and Sandsten, Maria}},
  booktitle    = {{31st European Signal Processing Conference, EUSIPCO 2023 - Proceedings}},
  isbn         = {{9789464593600}},
  issn         = {{2219-5491}},
  keywords     = {{coherence; magnitude squared coherence; multitaper; signal detection; spectral analysis}},
  language     = {{eng}},
  pages        = {{1993--1997}},
  publisher    = {{European Signal Processing Conference, EUSIPCO}},
  series       = {{European Signal Processing Conference}},
  title        = {{Coherence Expectation Minimisation and Combining Weighted Multitaper Estimates}},
  url          = {{http://dx.doi.org/10.23919/EUSIPCO58844.2023.10289813}},
  doi          = {{10.23919/EUSIPCO58844.2023.10289813}},
  year         = {{2023}},
}