An information-theoretic approach to positive time-frequency distributions
- 1 January 1992
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 5 (15206149) , 125-128 vol.5
- https://doi.org/10.1109/icassp.1992.226642
Abstract
The principle of minimum cross entropy (MCE) is used to generate positive distributions in the Cohen-Posch (1985) class of proper time-frequency distributions (TFDs). The MCE-TFDs are not only intuitively satisfying, but they also yield the correct marginals, have strong finite support, and are everywhere nonnegative. The usual cross-term artifacts that hinder interpretation of other time-frequency representations (most notably, the Wigner-Ville) are not a problem with the MCE-TFDs. Examples of speech and chirps are given and compared to the spectrogram. An interesting observation in the case of speech is that spectrograms more closely resemble time-conditional-frequency distributions (narrowband) or frequency-conditional-time distributions (wideband) than they do joint time-frequency distributions.Keywords
This publication has 8 references indexed in Scilit:
- Combined multi-resolution (wideband/narrowband) spectrogramPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1991
- New properties to alleviate interference in time-frequency representationsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1991
- Time-frequency distributions-a reviewProceedings of the IEEE, 1989
- Author's replyIEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
- On a fundamental property of the Wigner distributionIEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
- Positive time-frequency distribution functionsIEEE Transactions on Acoustics, Speech, and Signal Processing, 1985
- Properties of cross-entropy minimizationIEEE Transactions on Information Theory, 1981
- The Sound SpectrographThe Journal of the Acoustical Society of America, 1946