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

Joakim Axmon; M. Hansson; Leif Sörnmo

doi:10.1109/SAM.2002.1191061

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

Joakim Axmon, M. Hansson, Leif Sörnmo

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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

Original language	English
Title of host publication	2002 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings (Cat. No.02EX593)
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Pages	360-364
ISBN (Print)	0-7803-7551-3
DOIs	https://doi.org/10.1109/SAM.2002.1191061
Publication status	Published - 2002
Event	2002 Sensor Array and Multichannel Signal Processing Workshop - Rosslyn, VA, United States Duration: 2002 Aug 4 → 2002 Aug 6

Workshop

Workshop	2002 Sensor Array and Multichannel Signal Processing Workshop
Country/Territory	United States
City	Rosslyn, VA
Period	2002/08/04 → 2002/08/06

Subject classification (UKÄ)

Electrical Engineering, Electronic Engineering, Information Engineering

Free 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

Access to Document

10.1109/SAM.2002.1191061

Cite this

Axmon, J., Hansson, M., & Sörnmo, L. (2002). A signal model adapted ESPRIT algorithm for joint estimation of spatial and temporal parameters in vibrational analysis of cylinders. In 2002 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings (Cat. No.02EX593) (pp. 360-364). IEEE - Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SAM.2002.1191061

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

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",

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",

author = "Joakim Axmon and M. Hansson and Leif S{\"o}rnmo",

year = "2002",

doi = "10.1109/SAM.2002.1191061",

language = "English",

isbn = "0-7803-7551-3",

pages = "360--364",

booktitle = "2002 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings (Cat. No.02EX593)",

publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",

address = "United States",

note = "2002 Sensor Array and Multichannel Signal Processing Workshop ; Conference date: 04-08-2002 Through 06-08-2002",

}

Axmon, J, Hansson, M & Sörnmo, L 2002, A signal model adapted ESPRIT algorithm for joint estimation of spatial and temporal parameters in vibrational analysis of cylinders. in 2002 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings (Cat. No.02EX593). IEEE - Institute of Electrical and Electronics Engineers Inc., pp. 360-364, 2002 Sensor Array and Multichannel Signal Processing Workshop, Rosslyn, VA, United States, 2002/08/04. https://doi.org/10.1109/SAM.2002.1191061

A signal model adapted ESPRIT algorithm for joint estimation of spatial and temporal parameters in vibrational analysis of cylinders. / Axmon, Joakim; Hansson, M.; Sörnmo, Leif.
2002 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings (Cat. No.02EX593). IEEE - Institute of Electrical and Electronics Engineers Inc., 2002. p. 360-364.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

TY - GEN

T1 - A signal model adapted ESPRIT algorithm for joint estimation of spatial and temporal parameters in vibrational analysis of cylinders

AU - Axmon, Joakim

AU - Hansson, M.

AU - Sörnmo, Leif

PY - 2002

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N2 - 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

AB - 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

KW - spatial mode shapes

KW - cylinders

KW - vibrational analysis

KW - temporal parameters

KW - spatial parameters

KW - data matrix decomposition

KW - modified algorithm

KW - complexity reduction

KW - memory requirements

KW - estimation errors

KW - mirrored directions

KW - 2D ESPRIT algorithm

KW - noise

KW - signal roots

KW - signal model adapted ESPRIT algorithm

KW - joint estimation algorithms

KW - temporal frequencies

KW - transient vibrations

KW - uniform circular sensors array

KW - planar waves

KW - uniform linear array

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DO - 10.1109/SAM.2002.1191061

M3 - Paper in conference proceeding

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SP - 360

EP - 364

BT - 2002 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings (Cat. No.02EX593)

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 2002 Sensor Array and Multichannel Signal Processing Workshop

Y2 - 4 August 2002 through 6 August 2002

ER -

Axmon J, Hansson M, Sörnmo L. A signal model adapted ESPRIT algorithm for joint estimation of spatial and temporal parameters in vibrational analysis of cylinders. In 2002 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings (Cat. No.02EX593). IEEE - Institute of Electrical and Electronics Engineers Inc. 2002. p. 360-364 doi: 10.1109/SAM.2002.1191061

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

Abstract

Workshop

Subject classification (UKÄ)

Free keywords

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Cite this