Browsing by Author "Pasquier, Martin"

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    Hybrid Linear / Bilinear Time-Scale Analysis
    (1999-01-01) Pasquier, Martin; Goncalves, Paulo; Baraniuk, Richard G.; Digital Signal Processing (http://dsp.rice.edu/)
    We introduce a new method for the time-scale analysis of non-stationary signals. Our work leverages the success of the "time-frequency distribution series / cross-term deleted representations" into the time-scale domain to match wide-band signals that are better modeled in terms of time shifts and scale changes than in terms of time and frequency shifts. Using a wavelet decomposition and the Bertrand time-scale distribution, we locally balance linearity and bilinearity in order to provide good resolution while suppressing troublesome interference components. The theory of frames provides a unifying perspective for cross-term deleted representations in general.
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    Hybrid Linear/Bilinear Time-Scale Analysis
    (1996-06-01) Pasquier, Martin; Goncalves, Paulo; Baraniuk, Richard G.; Digital Signal Processing (http://dsp.rice.edu/)
    We introduce a new method for the time-scale analysis of nonstationary signals. Our work leverages the success of the â time-frequency distribution series/cross-term deleted representationsâ into the time-scale domain to match wide-band signals that are not well modeled in terms of time and frequency shifts. Using a wavelet decomposition and the Bertrand (see J. Math. Phys., vol.33, p.2515-27, 1992) time-scale distribution, we locally balance linearity and bilinearity in order to provide good resolution while suppressing troublesome interference components. The theory of frames provides a unifying perspective and leads us to insights into the cross-term deleted representations.