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A signal model adapted ESPRIT algorithm for joint estimation of spatial and temporal parameters in vibrational analysis of cylinders

Axmon, Joakim LU ; Hansson, M. and Sörnmo, Leif LU (2002) 2002 Sensor Array and Multichannel Signal Processing Workshop In 2002 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings (Cat. No.02EX593) p.360-364
Abstract
This paper deals with the joint estimation of spatial mode shapes and temporal frequencies from transient vibrations measured by a uniform circular array of sensors encircling a cross-section of a cylinder. The geometry allows each 2D mode to be interpreted as two real planar waves impinging from mirrored directions with respect to the broadside of a uniform linear array. Algorithms for joint estimation tend, in the presence of noise, to produce signal roots that express planar waves impinging from only approximately mirrored directions. A recently published 2-D ESPRIT algorithm is modified to take advantage of the geometry, and to force the estimated planar waves to impinge from exactly mirrored directions. This reduces the estimation... (More)
This paper deals with the joint estimation of spatial mode shapes and temporal frequencies from transient vibrations measured by a uniform circular array of sensors encircling a cross-section of a cylinder. The geometry allows each 2D mode to be interpreted as two real planar waves impinging from mirrored directions with respect to the broadside of a uniform linear array. Algorithms for joint estimation tend, in the presence of noise, to produce signal roots that express planar waves impinging from only approximately mirrored directions. A recently published 2-D ESPRIT algorithm is modified to take advantage of the geometry, and to force the estimated planar waves to impinge from exactly mirrored directions. This reduces the estimation errors; the main advantage is more easily interpreted results. Memory requirements and complexity are significantly lower for the modified algorithm, since the decomposition of a large data matrix may be broken down into several small ones (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
spatial mode shapes, cylinders, vibrational analysis, temporal parameters, spatial parameters, data matrix decomposition, modified algorithm, complexity reduction, memory requirements, estimation errors, mirrored directions, 2D ESPRIT algorithm, noise, signal roots, signal model adapted ESPRIT algorithm, joint estimation algorithms, temporal frequencies, transient vibrations, uniform circular sensors array, planar waves, uniform linear array
in
2002 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings (Cat. No.02EX593)
pages
360 - 364
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
2002 Sensor Array and Multichannel Signal Processing Workshop
external identifiers
  • WOS:000181203600074
  • Scopus:33645368704
ISBN
0-7803-7551-3
DOI
10.1109/SAM.2002.1191061
language
English
LU publication?
yes
id
0ba17fbf-cbad-4970-9dfc-3ab88de754d0 (old id 611384)
date added to LUP
2007-11-23 14:57:21
date last changed
2016-10-13 04:48:32
@misc{0ba17fbf-cbad-4970-9dfc-3ab88de754d0,
  abstract     = {This paper deals with the joint estimation of spatial mode shapes and temporal frequencies from transient vibrations measured by a uniform circular array of sensors encircling a cross-section of a cylinder. The geometry allows each 2D mode to be interpreted as two real planar waves impinging from mirrored directions with respect to the broadside of a uniform linear array. Algorithms for joint estimation tend, in the presence of noise, to produce signal roots that express planar waves impinging from only approximately mirrored directions. A recently published 2-D ESPRIT algorithm is modified to take advantage of the geometry, and to force the estimated planar waves to impinge from exactly mirrored directions. This reduces the estimation errors; the main advantage is more easily interpreted results. Memory requirements and complexity are significantly lower for the modified algorithm, since the decomposition of a large data matrix may be broken down into several small ones},
  author       = {Axmon, Joakim and Hansson, M. and Sörnmo, Leif},
  isbn         = {0-7803-7551-3},
  keyword      = {spatial mode shapes,cylinders,vibrational analysis,temporal parameters,spatial parameters,data matrix decomposition,modified algorithm,complexity reduction,memory requirements,estimation errors,mirrored directions,2D ESPRIT algorithm,noise,signal roots,signal model adapted ESPRIT algorithm,joint estimation algorithms,temporal frequencies,transient vibrations,uniform circular sensors array,planar waves,uniform linear array},
  language     = {eng},
  pages        = {360--364},
  publisher    = {ARRAY(0x9d5e8e8)},
  series       = {2002 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings (Cat. No.02EX593)},
  title        = {A signal model adapted ESPRIT algorithm for joint estimation of spatial and temporal parameters in vibrational analysis of cylinders},
  url          = {http://dx.doi.org/10.1109/SAM.2002.1191061},
  year         = {2002},
}