A new transform for time-frequency analysis

نویسندگان

  • Arun Kumar
  • Daniel R. Fuhrmann
  • Michael Frazier
  • Björn D. Jawerth
چکیده

This paper describes how a signal can be written as a weighted sum of certain "elementary" synthesizing functions, which are the dilated and translated versions of a single parent function. The weighting constants in this sum define a transform of the signal. This is much like Fourier analysis except that a wide choice is permitted in the selection of a set of synthesizing functions. Moreover, the permitted sets of synthesizing functions are not orthogonal. It is shown that the transform described here captures both the frequency content, and the temporal evolution, of a non-stationary signal.

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عنوان ژورنال:
  • IEEE Trans. Signal Processing

دوره 40  شماره 

صفحات  -

تاریخ انتشار 1992