Moment method analysis of a loop array using wavelet expansions

The application of a wavelet expansion to the moment method (WMoM) is studied for the analysis of a circular loop and a Yagi-Uda circular loop array. The usual expansion and weighting functions are replaced by periodic wavelets defined in the finite interval [0,1]. The periodic wavelet in [0,1] is constructed from the cardinal B-spline with the minimum support. Current distributions from the WMoM with the quadratic cardinal B-spline wavelet agree well with the results of the conventional moment method (MoM) and the sparse generalized impedance matrix is obtained. By using threshold processing, the WMoM may exhibit advantages of shorter computation time and smaller storage for the matrix equation compared with the MoM.