Technical Report Number
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.
Kumar, Arun; Fuhrmann, Daniel R.; Frazier, Michael; and Jawerth, Bjorn, "A New Transform for Time-Frequency Analysis" Report Number: WUCS-89-27 (1989). All Computer Science and Engineering Research.