A New Transform for Time-Frequency Analysis

Authors

Arun Kumar, Washington University in St. Louis
Daniel R. Fuhrmann, Washington University in St. Louis
Michael Frazier, Washington University in St. Louis
Bjorn Jawerth, Washington University in St. Louis

Document Type

Technical Report

Publication Date

1989-10-01

Filename

WUCS-89-27.pdf

Technical Report Number

WUCS-89-27

Abstract

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.

Comments

Permanent URL: http://dx.doi.org/10.7936/K79885CT

Recommended Citation

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.
https://openscholarship.wustl.edu/cse_research/740