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Applications of semi-orthogonal spli...

Goswami, Jaideva C.

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Applications of semi-orthogonal spline wavelets in electromagnetics and microwave problems.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Applications of semi-orthogonal spline wavelets in electromagnetics and microwave problems./
Author:	Goswami, Jaideva C.
Description:	147 p.
Notes:	Source: Dissertation Abstracts International, Volume: 56-10, Section: B, page: 5672.
Contained By:	Dissertation Abstracts International56-10B.
Subject:	Engineering, Electronics and Electrical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9539210

Applications of semi-orthogonal spline wavelets in electromagnetics and microwave problems.
Goswami, Jaideva C.

Applications of semi-orthogonal spline wavelets in electromagnetics and microwave problems. - 147 p.

Source: Dissertation Abstracts International, Volume: 56-10, Section: B, page: 5672.

Thesis (Ph.D.)--Texas A&M University, 1995.

The objective of this dissertation is to use compactly supported semi-orthogonal spline wavelets to study some important problems in electromagnetics and microwaves. Problems to be studied can be divided into two broad categories, namely (1) data processing such as those required in radar signal processing, and (2) boundary value problems arising from electromagnetic scattering and microwave transmission line problems.Subjects--Topical Terms:

626636
Engineering, Electronics and Electrical.

Applications of semi-orthogonal spline wavelets in electromagnetics and microwave problems.
LDR:03121nmm 2200289 4500 001 1830387
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008 130610s1995 eng d
035 $a (UnM)AAI9539210
035 $a AAI9539210
040 $a UnM $c UnM
100 1 $a Goswami, Jaideva C. $3 579706
245 1 0 $a Applications of semi-orthogonal spline wavelets in electromagnetics and microwave problems.
300 $a 147 p.
500 $a Source: Dissertation Abstracts International, Volume: 56-10, Section: B, page: 5672.
500 $a Co-Chairs: Andrew K. Chan; Charles K. Chui.
502 $a Thesis (Ph.D.)--Texas A&M University, 1995.
520 $a The objective of this dissertation is to use compactly supported semi-orthogonal spline wavelets to study some important problems in electromagnetics and microwaves. Problems to be studied can be divided into two broad categories, namely (1) data processing such as those required in radar signal processing, and (2) boundary value problems arising from electromagnetic scattering and microwave transmission line problems.
520 $a For data processing, we introduce an algorithm for fast computation of integral wavelet transform on a dense set of points in the time-scale domain. This algorithm is based on a local optimal-order spline interpolation and requires only FIR (moving average) operations. In contrast to the existing procedures based on direct numerical integration or an FFT-based multi-voice-per-octave scheme, the computational complexity of our algorithm does not depend upon the scale parameter.
520 $a In electromagnetics, the method of moments (MoM) has been the most widely used method. However, conventional MoM, when applied directly to integral equations, leads to a dense matrix which often becomes computationally intractable because of the large memory requirement and high computation time to invert such a matrix. Wavelet-based MoM, primarily because of the local supports and vanishing-moment properties of wavelets, leads to a sparse matrix. In this dissertation, we propose the use of compactly supported semi-orthogonal spline wavelets, specially constructed for the bounded interval, in solving integral equations of the first kind. We apply this technique to analyze a problem involving two-dimensional electromagnetic scattering from metallic cylinders. To apply wavelets in the spectral domain, we consider problems of characterizing planar transmission line discontinuities due to terminated-end with uniaxial substrates. Applications of cubic splines and their corresponding wavelets, because of their better decay properties in the spectral domain than commonly used piecewise sinusoidal functions, reduce computation time significantly. Many examples are presented to elucidate the importance of using wavelets in electromagnetics and microwave problems.
590 $a School code: 0803.
650 4 $a Engineering, Electronics and Electrical. $3 626636
690 $a 0544
710 2 0 $a Texas A&M University. $3 718977
773 0 $t Dissertation Abstracts International $g 56-10B.
790 1 0 $a Chan, Andrew K., $e advisor
790 1 0 $a Chui, Charles K., $e advisor
790 $a 0803
791 $a Ph.D.
792 $a 1995
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9539210