WARPED PERSPECTIVES IN TIME-FREQUENCY ANALYSIS

Richard G. Baraniuk
Department of Electrical and Computer Engineering
Rice University
Houston, TX 77251--1892, USA
Email: richb@rice.edu

Unitary similarity transformations furnish a simple yet 
powerful vehicle for generating new classes of joint 
distributions based on concepts different from time, 
frequency, and scale.  These new signal representations 
focus on the critical characteristics of large classes
of signals and, hence, prove useful for representing and 
processing signals that are not well matched by current 
techniques.  In particular, we construct distributions 
to match almost any one-to-one group delay or instantaneous 
frequency characteristic.  Amazingly, all distributions 
that have been used to illustrate more complicated 
generalized distribution design techniques can be generated 
using the unitary transformation method.

Presented at the IEEE Int. Symp. Time-Frequency and 
Time-Scale Analysis, Philadelphia, October, 1994.