Nonlinear Transformation of Differential Equations into Phase Space

نویسندگان

  • Leon Cohen
  • Lorenzo Galleani
چکیده

Time-frequency representations transform a one-dimensional function into a two-dimensional function in the phase-space of time and frequency. The transformation to accomplish is a nonlinear transformation and there are an infinite number of such transformations. We obtain the governing differential equation for any two-dimensional bilinear phase-space function for the case when the governing equation for the time function is an ordinary differential equation with constant coefficients. This connects the dynamical features of the problem directly to the phase-space function and it has a number of advantages.

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عنوان ژورنال:
  • EURASIP J. Adv. Sig. Proc.

دوره 2004  شماره 

صفحات  -

تاریخ انتشار 2004