Applications and Extensions of Quadratic Signal Representations
Roberts, David Scott
This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.
Permalink
https://hdl.handle.net/2142/80803
Description
Title
Applications and Extensions of Quadratic Signal Representations
Author(s)
Roberts, David Scott
Issue Date
2002
Doctoral Committee Chair(s)
Jones, Douglas L.
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Biomedical
Language
eng
Abstract
The second part of the dissertation concentrates on developing nonnegative, high-resolution TFRs that correspond with intuitive notions of energy distribution. These so-called consistent TFRs are developed by requiring the desired representation to be consistent with a set of spectrogram-based energy measurements. The desired representation is obtained as the solution to a constrained-optimization problem. The optimization problem can be solved using a gradient-projection technique. The consistent TFR demonstrates superior performance compared to existing techniques on a variety of test signals as well as on actual biological data. The result is a high-resolution, nonnegative, intuitively satisfying TFR that should prove to be an excellent tool for exploratory analysis.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
