dc.contributor.author |
Chen, Weidong |
|
dc.date.accessioned |
2007-12-10T15:28:53Z |
|
dc.date.available |
2007-12-10T15:28:53Z |
|
dc.date.issued |
2007-12-10T15:28:53Z |
|
dc.identifier.uri |
http://hdl.handle.net/2097/474 |
|
dc.description.abstract |
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. |
en |
dc.language.iso |
en_US |
en |
dc.publisher |
Kansas State University |
en |
dc.subject |
Extrapolation of band-limited signal |
en |
dc.subject |
ill-posedness, regularization |
en |
dc.title |
An efficient method for an ill-posed problem [three dashes]band-limited extrapolation by regularization |
en |
dc.type |
Dissertation |
en |
dc.description.degree |
Doctor of Philosophy |
en |
dc.description.level |
Doctoral |
en |
dc.description.department |
Department of Mathematics |
en |
dc.description.advisor |
Robert B. Burckel |
en |
dc.subject.umi |
Mathematics (0405) |
en |
dc.date.published |
2007 |
en |
dc.date.graduationmonth |
December |
en |