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Efficient Implementation of the IAA-based Magnitude Squared Coherence Estimator

Aggelopoulos, Kostas ; Glentis, George-Othan and Jakobsson, Andreas LU orcid (2011) 17th International Conference on Digital Signal Processing
Abstract
Recently, a novel Magnitude Squared Coherence (MSC) estimator was proposed using the Iterative Adaptive Approach (IAA) algorithm. In this paper, we present a computationally efficient implementation of this estimator, exploiting the inherently low displacement rank of the necessary products of Toeplitz-like matrices, thereby allowing for the development of appropriate Gohberg-Semencul (GS) representations of these matrices. Together with relevant data dependent trigonometric polynomials, the presented implementation offers a substantial computational reduction as compared to earlier implementations. Numerical simulations along with theoretical complexity estimations illustrate the performance of the proposed algorithm.
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
Capon estimator, Coherence spectrum, efficient algorithms, iterative adaptive approach
host publication
Digital Signal Processing (DSP), 2011 17th International Conference on
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
17th International Conference on Digital Signal Processing
conference dates
2011-07-06 - 2011-07-08
external identifiers
  • scopus:80053156424
ISBN
978-1-4577-0273-0 (print)
DOI
10.1109/ICDSP.2011.6004942
language
English
LU publication?
yes
id
b648bfbd-bdaa-47a2-b146-3152e0937252 (old id 2158488)
date added to LUP
2016-04-04 09:58:43
date last changed
2022-01-29 19:37:23
@inproceedings{b648bfbd-bdaa-47a2-b146-3152e0937252,
  abstract     = {{Recently, a novel Magnitude Squared Coherence (MSC) estimator was proposed using the Iterative Adaptive Approach (IAA) algorithm. In this paper, we present a computationally efficient implementation of this estimator, exploiting the inherently low displacement rank of the necessary products of Toeplitz-like matrices, thereby allowing for the development of appropriate Gohberg-Semencul (GS) representations of these matrices. Together with relevant data dependent trigonometric polynomials, the presented implementation offers a substantial computational reduction as compared to earlier implementations. Numerical simulations along with theoretical complexity estimations illustrate the performance of the proposed algorithm.}},
  author       = {{Aggelopoulos, Kostas and Glentis, George-Othan and Jakobsson, Andreas}},
  booktitle    = {{Digital Signal Processing (DSP), 2011 17th International Conference on}},
  isbn         = {{978-1-4577-0273-0 (print)}},
  keywords     = {{Capon estimator; Coherence spectrum; efficient algorithms; iterative adaptive approach}},
  language     = {{eng}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Efficient Implementation of the IAA-based Magnitude Squared Coherence Estimator}},
  url          = {{http://dx.doi.org/10.1109/ICDSP.2011.6004942}},
  doi          = {{10.1109/ICDSP.2011.6004942}},
  year         = {{2011}},
}