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Directional time-frequency analysis ...

Sansing, Christopher.

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Directional time-frequency analysis with applications.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Directional time-frequency analysis with applications./
作者:	Sansing, Christopher.
面頁冊數:	156 p.
附註:	Adviser: Loukas Grafakos.
Contained By:	Dissertation Abstracts International67-11B.
標題:	Engineering, Biomedical. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3242761
ISBN:	9780542981814

Directional time-frequency analysis with applications.
Sansing, Christopher.

Directional time-frequency analysis with applications. - 156 p.

Adviser: Loukas Grafakos.

Thesis (Ph.D.)--University of Missouri - Columbia, 2006.

The purpose of this dissertation is to introduce a new directionally-sensitive time-frequency representation of a function. It is shown that we may break up a function (or signal) into individual time-frequency-direction pieces. A certain coefficient (&lang;&fnof;,Gm,t,u&rang;) will allow one to see "how much" frequency is in the function (i.e. signal, image, etc.) in a certain time interval, and also in a certain direction. This has been done using wavelets (ridgelets) and this dissertation introduces a similar concept using time-frequency (Gabor) elements. For such elements, a Parseval formula and a continous frame-type representation together with boundedness properties of a semi-discrete frame operator are obtained. New spaces of functions are also presented which are tailored to fit our time-frequency-direction analysis. Applications relating to image processing and medical imaging are also presented along with development of some algorithms.

ISBN: 9780542981814Subjects--Topical Terms:

1017684
Engineering, Biomedical.

Directional time-frequency analysis with applications.
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