Applications and Extensions of Quadratic Signal Representations

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2002

Author dc:creator

• Roberts, David Scott

Contributors dc:contributor

• Jones, Douglas L.

• Engineering, Biomedical

Language dc:language

eng

Identifier

(MiAaPQ)AAI3070422

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/80803