TY - JOUR
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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U2 - 10.1109/ICASSP.1994.390031
DO - 10.1109/ICASSP.1994.390031
M3 - Conference article
AN - SCOPUS:84996692897
VL - 3
SP - III329-III332
JO - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
JF - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SN - 0736-7791
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 -