Accession Number:

ADA453215

Title:

Discrete Representation of Signals from Infinite Dimensional Hilbert Spaces with Application to Noise Suppression and Compression

Descriptive Note:

Corporate Author:

MARYLAND UNIV COLLEGE PARK INST FOR SYSTEMS RESEARCH

Personal Author(s):

Report Date:

1993-01-01

Pagination or Media Count:

217.0

Abstract:

Addressed in this thesis is the issue of representing signals from infinite dimensional Hilbert spaces in a discrete form. The discrete representations which are studied come from the irregular samples of a signal dependent transform called the group representation transform, e.g., the wavelet and Gabor transforms. The main issues dealt with are i the recoverability of a signal from its discrete representation, ii the suppression of noise in a corrupted signal, and iii compression through efficient discrete representation.

Subject Categories:

  • Numerical Mathematics
  • Acoustic Detection and Detectors

Distribution Statement:

APPROVED FOR PUBLIC RELEASE