Hybrid linear/quadratic time-frequency attributes

Richard Baraniuk; Mark Coates; Philippe Steeghs

doi:10.1109/ICASSP.2000.859051

Hybrid linear/quadratic time-frequency attributes

Richard Baraniuk, Mark Coates, Philippe Steeghs

Houston Methodist

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We present an efficient method for robustly calculating time-frequency attributes of a signal, including instantaneous mean frequency, bandwidth, and kurtosis. Most current approaches involve a costly intermediate step of computing a (highly oversampled) 2-D bilinear time-frequency representation (TFR), which is then collapsed to the 1-D attribute. Using the principles of hybrid linear/bilinear time-frequency analysis, we propose computing attributes as nonlinear combinations of the (barely oversampled) linear Gabor transform of the signal. The method is both computationally efficient and accurate-it performs as well as the best bilinear techniques based on adaptive TFRs. To illustrate, we calculate an attribute of a seismic cross-section.

Original language	English (US)
Title of host publication	Signal Processing Theory and Methods IIAudio and ElectroacusticsSpeech Processing I
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	681-684
Number of pages	4
ISBN (Electronic)	0780362934
DOIs	https://doi.org/10.1109/ICASSP.2000.859051
State	Published - 2000
Event	25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000 - Istanbul, Turkey Duration: Jun 5 2000 → Jun 9 2000

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	2
ISSN (Print)	1520-6149

Other

Other	25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000
Country/Territory	Turkey
City	Istanbul
Period	6/5/00 → 6/9/00

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

Access to Document

10.1109/ICASSP.2000.859051

Cite this

Baraniuk, R., Coates, M., & Steeghs, P. (2000). Hybrid linear/quadratic time-frequency attributes. In Signal Processing Theory and Methods IIAudio and ElectroacusticsSpeech Processing I (pp. 681-684). Article 859051 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2000.859051

Hybrid linear/quadratic time-frequency attributes. / Baraniuk, Richard; Coates, Mark; Steeghs, Philippe.
Signal Processing Theory and Methods IIAudio and ElectroacusticsSpeech Processing I. Institute of Electrical and Electronics Engineers Inc., 2000. p. 681-684 859051 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Baraniuk, R, Coates, M & Steeghs, P 2000, Hybrid linear/quadratic time-frequency attributes. in Signal Processing Theory and Methods IIAudio and ElectroacusticsSpeech Processing I., 859051, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 2, Institute of Electrical and Electronics Engineers Inc., pp. 681-684, 25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000, Istanbul, Turkey, 6/5/00. https://doi.org/10.1109/ICASSP.2000.859051

Baraniuk R, Coates M, Steeghs P. Hybrid linear/quadratic time-frequency attributes. In Signal Processing Theory and Methods IIAudio and ElectroacusticsSpeech Processing I. Institute of Electrical and Electronics Engineers Inc. 2000. p. 681-684. 859051. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.2000.859051

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abstract = "We present an efficient method for robustly calculating time-frequency attributes of a signal, including instantaneous mean frequency, bandwidth, and kurtosis. Most current approaches involve a costly intermediate step of computing a (highly oversampled) 2-D bilinear time-frequency representation (TFR), which is then collapsed to the 1-D attribute. Using the principles of hybrid linear/bilinear time-frequency analysis, we propose computing attributes as nonlinear combinations of the (barely oversampled) linear Gabor transform of the signal. The method is both computationally efficient and accurate-it performs as well as the best bilinear techniques based on adaptive TFRs. To illustrate, we calculate an attribute of a seismic cross-section.",

author = "Richard Baraniuk and Mark Coates and Philippe Steeghs",

note = "Funding Information: This work was supported by NSF grants MIP-9457438 and CCR-9973188, ONR grant N00014-99-1-0813. Publisher Copyright: {\textcopyright} 2000 IEEE.; 25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000 ; Conference date: 05-06-2000 Through 09-06-2000",

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Hybrid linear/quadratic time-frequency attributes

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