Title :
Minimum and maximum time-localized complex-valued wavelets for scattering problems
Author :
Jeng-Long Leou ; Jiunn-Ming Huang ; Shyh-Kang Jeng ; Hsueh-Jyh Li
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Abstract :
The authors explore the importance of symmetric or antisymmetric wavelets with compact supports and orthogonal behavior for solving electromagnetic problems. Since there are many wavelets genus can be obtained, either real-valued or complex-valued, we need a reasonable criterion to choose the most suitable basis for the application at hand. A new selection criterion based on the time-localization measure of scaling functions and wavelets is proposed to investigate the relationship between the localization of wavelets and the sparsity of the resultant moment method (MoM) matrix equation.
Keywords :
electromagnetic wave scattering; method of moments; sparse matrices; wavelet transforms; EM scattering problems; MoM matrix equation; antisymmetric wavelets; compact supports; electromagnetic scattering problems solution; maximum time-localized complex-valued wavelets; minimum time-localized complex-valued wavelets; moment method matrix equation; orthogonal behavior; scaling functions; sparse matrix; symmetric wavelets; time-localization measure; wavelet construction; wavelet selection criterion; Electromagnetic scattering; Equations; Filters; Image processing; Message-oriented middleware; Polynomials; Reactive power; Root mean square; Signal processing;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1999. IEEE
Conference_Location :
Orlando, FL, USA
Print_ISBN :
0-7803-5639-x
DOI :
10.1109/APS.1999.789156
