A signal-dependent time-frequency representation: optimal kernel design

A new time-frequency distribution (TFD) that adapts to each signal and so offers a good performance for a large class of signals is introduced. The design of the signal-dependent TFD is formulated in Cohen's class as an optimization problem and results in a special linear program. Given a signa...

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Bibliographic Details
Published in:IEEE transactions on signal processing 1993-04, Vol.41 (4), p.1589-1602
Main Authors: Baraniuk, R.G., Jones, D.L.
Format: Article
Language:English
Subjects:
Applied sciences
Computational efficiency
Design optimization
Distributed computing
Ear
Exact sciences and technology
Information, signal and communications theory
Kernel
Process design
Signal analysis
Signal and communications theory
Signal design
Signal mapping
Signal representation. Spectral analysis
Signal, noise
Telecommunications and information theory
Time frequency analysis
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Summary:A new time-frequency distribution (TFD) that adapts to each signal and so offers a good performance for a large class of signals is introduced. The design of the signal-dependent TFD is formulated in Cohen's class as an optimization problem and results in a special linear program. Given a signal to be analyzed, the solution to the linear program yields the optimal kernel and, hence, the optimal time-frequency mapping for that signal. A fast algorithm has been developed for solving the linear program, allowing the computation of the signal-dependent TFD with a time complexity on the same order as a fixed-kernel distribution. Besides this computational efficiency, an attractive feature of the optimization-based approach is the ease with which the formulation can be customized to incorporate application-specific knowledge into the design process.< >
ISSN:1053-587X
1941-0476
DOI:10.1109/78.212733