Title :
Semi-orthogonal versus orthogonal wavelet basis sets for solving integral equations
Author :
Nevels, Robert D. ; Goswami, Jaideva C. ; Tehrani, Hooman
Author_Institution :
Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA
fDate :
9/1/1997 12:00:00 AM
Abstract :
The two categories of wavelets, orthogonal and semi-orthogonal, are compared and it is shown that the semi-orthogonal wavelet is best suited for integral equation applications. The Battle-Lemarie orthogonal wavelet and the spline generated semi-orthogonal wavelet are each used to solve for the current distribution on an infinite strip illuminated by a transverse magnetic (TM) plane wave and a straight thin wire illuminated by a normally incident plane wave. The grounds for comparison are accuracy in characterizing the current, matrix sparsity, computation time, and singularity extraction capability. The limitations and advantages of solving integral equations with each of the two wavelet categories are discussed
Keywords :
computational complexity; current distribution; electromagnetic wave scattering; integral equations; sparse matrices; wavelet transforms; 2D perfectly conducting infinite strip; Battle-Lemarie orthogonal wavelet; EM wave scattering; TM plane wave; accuracy; computation time; current distribution; integral equations solution; matrix sparsity; normally incident plane wave; orthogonal wavelet basis sets; semiorthogonal wavelet basis sets; singularity extraction; spline generated semiorthogonal wavelet; straight thin wire; transverse magnetic plane wave; Current distribution; Electromagnetic scattering; Frequency; Impedance; Integral equations; Signal processing; Sparse matrices; Spline; Strips; Wire;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
