Abstract:
Analysis of antenna radiation patterns, especially in respect of antennas
with complex shapes and sizes, require the adoption of numerical
methods of obtaining solutions to electro-magnetic equations. Method of
Moments (MOM) being one of such proven methods, still poses the
problem of manipulation of large matrices.
Objective of this exercise is to investigate the possibility of using wavelet
transform techniques in obtaining fast solutions for the matrix equations
resulting from MOM method. Specific attention has been given to
Discreet Wavelet Transform (DWT) and Discreet Wavelet Packet (DWP)
transform methods in order to spar sify the large impedance matrices
generated by MOM method.
Wavelet transform being a recently developed technique, the
mathematical background and related theoretical aspects have been
illustrated prior to analysing several examples of thin wire centre fed
antennas.
Examples have been selected to demonstrate effective adaptation of
Discrete Wavelet Transform and Discrete Wavelet Packet Transform
techniques in obtaining solutions for the matrix equations in the analysis
of thin wire antennas. Comparisons have been made with the
conventional method of solving these matrix equations illustrating the
improvement in the computation times as a result of sparsification of
matrices using Wavelet transform methods with the extensive assistance
of Mat Lab Wavelet Tool Box.
Having indicated the advantages of wavelet transform techniques over the
conventional methods of solving large matrix equations, several
suggestions have been made towards optimising the results obtained to be
taken up as further research work.
