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dc.contributor.authorBaraniuk, Richard G.
Jones, Douglas L.
dc.creatorBaraniuk, Richard G.
Jones, Douglas L. 2007-10-31T00:34:46Z 2007-10-31T00:34:46Z 1993-04-01 2004-11-07
dc.identifier.citation R. G. Baraniuk and D. L. Jones, "A Signal Dependent Time Frequency Representation: Optimal Kernel Design," IEEE Transactions on Signal Processing, vol. 41, no. 4, 1993.
dc.description Journal Paper
dc.description.abstract Time-frequency distributions (TFDs), which indicate the energy content of a signal as a function of both time and frequency, are powerful tools for time-varying signal analysis. The lack of a single distribution that is "best" for all applications has resulted in a proliferation of TFDs, each corresponding to a different, fixed mapping from signals to the time-frequency plane. A major drawback of all fixed mappings is that, for each mapping, the resulting time-frequency representation is satisfactory only for a limited class of signals. In this paper, we introduce a new TFD that adapts to each signal and so offers good performance for a large class of signals. 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 withwhich the formulation can be customized to incorporate application-specific knowledge into the design process.
dc.language.iso eng
dc.subjecttime frequency
dc.subject.otherTime Frequency and Spectral Analysis
dc.title A Signal Dependent Time Frequency Representation: Optimal Kernel Design
dc.type Journal article
dc.citation.bibtexName article
dc.citation.journalTitle IEEE Transactions on Signal Processing 2006-07-24
dc.contributor.orgDigital Signal Processing (
dc.subject.keywordtime frequency
dc.citation.volumeNumber 41
dc.citation.issueNumber 4
dc.type.dcmi Text
dc.type.dcmi Text
dc.citation.firstpage 1589
dc.citation.lastpage 1602

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  • DSP Publications [508]
    Publications by Rice Faculty and graduate students in digital signal processing.
  • ECE Publications [1289]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students

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