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Partial Forward-Backward Averaging for Enhanced Frequency Estimation of Real X-texture Modes

Axmon, Joakim LU ; Sandsten, Maria LU and Sörnmo, Leif LU (2005) In IEEE Transactions on Signal Processing 53(7). p.2550-2562
Abstract
In this paper, enhancement of the signal root estimation of a particular kind of real-valued two-dimensional (2-D) sinusoidal modes is considered. To its constitution, each mode corresponds to the superposition of two real-valued plane waves in a particular symmetry. The concept of partial forward-backward averaging, which is applicable for modes that are undamped in at least one dimension, is introduced as a means for improving the signal subspace estimate from which the signal roots are estimated. The consequences of real-valued signals for the signal root estimates are discussed in detail, and it is shown that by applying partial forward-backward averaging, the mean square errors of the estimates, and the breakdown threshold... (More)
In this paper, enhancement of the signal root estimation of a particular kind of real-valued two-dimensional (2-D) sinusoidal modes is considered. To its constitution, each mode corresponds to the superposition of two real-valued plane waves in a particular symmetry. The concept of partial forward-backward averaging, which is applicable for modes that are undamped in at least one dimension, is introduced as a means for improving the signal subspace estimate from which the signal roots are estimated. The consequences of real-valued signals for the signal root estimates are discussed in detail, and it is shown that by applying partial forward-backward averaging, the mean square errors of the estimates, and the breakdown threshold signal-to-noise ratio (SNR), are significantly reduced, compared with forward-only or conventional forward-backward (when applicable) usage of the sampled signals. The practical implication is highlighted by applying the proposed technique to modal analysis of multichannel impact responses from a tree trunk. (Less)
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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Transactions on Signal Processing
volume
53
issue
7
pages
2550 - 2562
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000230216800026
  • scopus:23844438272
ISSN
1053-587X
DOI
10.1109/TSP.2005.849199
language
English
LU publication?
yes
id
f92478bf-f304-4700-b999-7928c1754994 (old id 627364)
date added to LUP
2016-04-01 16:43:01
date last changed
2025-10-14 10:20:53
@article{f92478bf-f304-4700-b999-7928c1754994,
  abstract     = {{In this paper, enhancement of the signal root estimation of a particular kind of real-valued two-dimensional (2-D) sinusoidal modes is considered. To its constitution, each mode corresponds to the superposition of two real-valued plane waves in a particular symmetry. The concept of partial forward-backward averaging, which is applicable for modes that are undamped in at least one dimension, is introduced as a means for improving the signal subspace estimate from which the signal roots are estimated. The consequences of real-valued signals for the signal root estimates are discussed in detail, and it is shown that by applying partial forward-backward averaging, the mean square errors of the estimates, and the breakdown threshold signal-to-noise ratio (SNR), are significantly reduced, compared with forward-only or conventional forward-backward (when applicable) usage of the sampled signals. The practical implication is highlighted by applying the proposed technique to modal analysis of multichannel impact responses from a tree trunk.}},
  author       = {{Axmon, Joakim and Sandsten, Maria and Sörnmo, Leif}},
  issn         = {{1053-587X}},
  language     = {{eng}},
  number       = {{7}},
  pages        = {{2550--2562}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Signal Processing}},
  title        = {{Partial Forward-Backward Averaging for Enhanced Frequency Estimation of Real X-texture Modes}},
  url          = {{http://dx.doi.org/10.1109/TSP.2005.849199}},
  doi          = {{10.1109/TSP.2005.849199}},
  volume       = {{53}},
  year         = {{2005}},
}