Unified framework for the scale covariant affine, hyperbolic, and power class quadratic time-frequency representations using generalized time shifts
Document Type
Conference Proceeding
Date of Original Version
1-1-1995
Abstract
We propose a framework that unifies and extends the affine, hyperbolic, and power classes of quadratic time-frequency representations (QTFRs). These QTFR classes satisfy the scale covariance property, important in multiresolution analysis, and a generalized time-shift covariance property, important in the analysis of signals propagating through dispersive systems. We provide a general class formulation in terms of 2-D kernels, a generalized signal expansion, a list of desirable QTFR properties with kernel constraints, and a 'central QTFR' generalizing the Wigner distribution and the Altes-Marinovich Q-distribution. We also propose two generalized time-shift covariant (not, in general, scale covariant) QTFR classes by applying a generalized warping to Cohen's class and to the affine class.
Publication Title, e.g., Journal
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume
2
Citation/Publisher Attribution
Papandreou, A., F. Hlawatsch, and G. F. Boudreaux-Bartels. "Unified framework for the scale covariant affine, hyperbolic, and power class quadratic time-frequency representations using generalized time shifts." ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings 2, (1995): 1017-1020. https://digitalcommons.uri.edu/ele_facpubs/151