NEW DIMENSIONS IN WAVELET ANALYSIS


Richard G. Baraniuk and Douglas L. Jones


Department of Electrical and Computer Engineering
Rice University
Houston, TX 77251-1892

Department of Electrical and Computer Engineering
University of Illinois
Urbana, IL 61801


In this paper we propose a new class of signal analysis tools that
generalizes the popular wavelet and short-time Fourier transforms.
The class allows skews and rotations of the analyzing wavelet in 
the time-frequency plane, in addition to the time and frequency 
translations and scalings employed by conventional transforms.
In addition to providing a unifying framework for studying existing 
time-frequency representations, the general class provides a 
systematic method for designing new representations with properties 
useful for certain types of signals.


Presented at ICASSP 1992 in San Francisco, CA, March 1992