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Quadratic time-frequency distributions: the new hyperbolic class and its intersection with the affine class

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3 Author(s)
Papandreou, A. ; Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA ; Hlawatsch, F. ; Boudreaux-Bartels, G.F.

The proposed new class of quadratic time-frequency distributions is based on the `hyperbolic time shift' and scale invariance properties that are important in the analysis of Doppler invariant signals used in bat and dolphin echolocation, and of `locally self-similar' signals used in fractals and fractional Brownian motion. The hyperbolic class can be characterized by 2-D kernels, and kernel constraints are derived for some desirable TFD properties. The Bertrand distribution and the Altes distribution are members of the hyperbolic class. The authors define a `localized' subclass and study the intersection between the affine class and the hyperbolic class

Published in:

Statistical Signal and Array Processing, 1992. Conference Proceedings., IEEE Sixth SP Workshop on

Date of Conference:

7-9 Oct 1992