Graduate Thesis Or Dissertation
 

Nonperiodic sampling theorems and filter banks

Public Deposited

Downloadable Content

Download PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/nc580p889

Descriptions

Attribute NameValues
Creator
Abstract
  • Sampling theorems provide exact interpolation formulas for bandlimited functions. They play a fundamental role in signal processing. A function is called bandlimited if its Fourier transform vanishes outside a compact set. A generalized sampling theorem in the framework of locally compact Abelian groups is presented. Sampling sets are finite unions of cosets of closed discrete subgroups. Such sampling sets are not necessarily periodic and cannot be treated in that setting. An exact reconstruction formula is found for the case that the support of the Fourier transform of the function which needs to be reconstructed satisfies certain conditions. The notion of a filter bank is generalized in the framework of locally compact Abelian groups. Conditions for perfect reconstruction are derived. It is shown that this theory includes some generalized sampling theorems and results in multisensor deconvolution problems as special cases.
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Rights Statement
Publisher
Peer Reviewed
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces

Relationships

Parents:

This work has no parents.

In Collection:

Items

Thumbnail Title Date Uploaded Visibility Actions
file details BehmardHamidR2000.pdf 2017-08-07 Public Download