Time-frequency complexity and information

Patrick Flandrin; Richard G. Baraniuk; Olivier Michel

doi:10.1109/ICASSP.1994.390031

Time-frequency complexity and information

Patrick Flandrin, Richard G. Baraniuk, Olivier Michel

Houston Methodist

Research output: Contribution to journal › Conference article › peer-review

108 Scopus citations

Abstract

Many functions have been proposed for estimating signal information content and complexity on the time-frequency plane, including moment-based measures such as the timebandwidth product and the Shannon and Renyi entropies. When applied to a time-frequency representation from Cohen's class, the Renyi entropy conforms closely to the visually based notion of complexity that we use when inspecting time-frequency images. A detailed discussion reveals many of the desirable properties of the Renyi information measure for both deterministic and random signals.

Original language	English (US)
Article number	390031
Pages (from-to)	III329-III332
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	3
DOIs	https://doi.org/10.1109/ICASSP.1994.390031
State	Published - 1994
Event	Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) - Adelaide, Aust Duration: Apr 19 1994 → Apr 22 1994

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

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10.1109/ICASSP.1994.390031

Cite this

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title = "Time-frequency complexity and information",

abstract = "Many functions have been proposed for estimating signal information content and complexity on the time-frequency plane, including moment-based measures such as the timebandwidth product and the Shannon and Renyi entropies. When applied to a time-frequency representation from Cohen's class, the Renyi entropy conforms closely to the visually based notion of complexity that we use when inspecting time-frequency images. A detailed discussion reveals many of the desirable properties of the Renyi information measure for both deterministic and random signals.",

author = "Patrick Flandrin and Baraniuk, \{Richard G.\} and Olivier Michel",

note = "Funding Information: {\textquoteleft}All integrals run from -00 to 00. 2While there do exist clssses of positive TFRs that satisfy (2) *This work was supported by URA 1125 CNRS and ail NSERC- an? (3) [4], we wili consider only quadratic Cohen{\textquoteright}s class TFR5 in NATO postdoctoral fellowship. this paper. Funding Information: This work was supported by URA 1325 CNRS and an NSERC-NATO postdoctoral fellowship. Publisher Copyright: {\textcopyright} 1994 IEEE.; Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) ; Conference date: 19-04-1994 Through 22-04-1994",

year = "1994",

doi = "10.1109/ICASSP.1994.390031",

language = "English (US)",

volume = "3",

pages = "III329--III332",

journal = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

issn = "1520-6149",

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

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T1 - Time-frequency complexity and information

AU - Flandrin, Patrick

AU - Baraniuk, Richard G.

AU - Michel, Olivier

N1 - Funding Information: ‘All integrals run from -00 to 00. 2While there do exist clssses of positive TFRs that satisfy (2) *This work was supported by URA 1125 CNRS and ail NSERC- an? (3) [4], we wili consider only quadratic Cohen’s class TFR5 in NATO postdoctoral fellowship. this paper. Funding Information: This work was supported by URA 1325 CNRS and an NSERC-NATO postdoctoral fellowship. Publisher Copyright: © 1994 IEEE.

PY - 1994

Y1 - 1994

N2 - Many functions have been proposed for estimating signal information content and complexity on the time-frequency plane, including moment-based measures such as the timebandwidth product and the Shannon and Renyi entropies. When applied to a time-frequency representation from Cohen's class, the Renyi entropy conforms closely to the visually based notion of complexity that we use when inspecting time-frequency images. A detailed discussion reveals many of the desirable properties of the Renyi information measure for both deterministic and random signals.

AB - Many functions have been proposed for estimating signal information content and complexity on the time-frequency plane, including moment-based measures such as the timebandwidth product and the Shannon and Renyi entropies. When applied to a time-frequency representation from Cohen's class, the Renyi entropy conforms closely to the visually based notion of complexity that we use when inspecting time-frequency images. A detailed discussion reveals many of the desirable properties of the Renyi information measure for both deterministic and random signals.

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M3 - Conference article

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SN - 1520-6149

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JO - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

JF - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

M1 - 390031

T2 - Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6)

Y2 - 19 April 1994 through 22 April 1994

ER -

Time-frequency complexity and information

Abstract

ASJC Scopus subject areas

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