Return to search

An efficient method for an ill-posed problem [three dashes]band-limited extrapolation by regularization

Doctor of Philosophy / Department of Mathematics / Robert B. Burckel / In this paper a regularized spectral estimation formula and a regularized iterative algorithm
for band-limited extrapolation are presented. The ill-posedness of the problem is taken into account. First
a Fredholm equation is regularized. Then it is transformed to a differential equation in the
case where the time interval is R. A fast algorithm to solve the differential equation
by the finite differences is given and a regularized spectral estimation formula is obtained.
Then a regularized iterative extrapolation algorithm is introduced and compared with the
Papoulis and Gerchberg algorithm. A time-frequency regularized extrapolation algorithm
is presented in the two-dimensional case. The Gibbs phenomenon is analyzed.
Then the time-frequency regularized extrapolation algorithm is applied to image restoration
and compared with other algorithms.

  1. http://hdl.handle.net/2097/474
Identiferoai:union.ndltd.org:KSU/oai:krex.k-state.edu:2097/474
Date January 1900
CreatorsChen, Weidong
PublisherKansas State University
Source SetsK-State Research Exchange
Languageen_US
Detected LanguageEnglish
TypeDissertation

Page generated in 0.0018 seconds