Application of Mix-Phase Wavelets to Sparsify Impedance Matrices
Jiunn-Ming Huang, Jeng‐Long Leou, Shyh‐Kang Jeng, Jenn‐Hwan Tarng · 1999
Introduction In computati#FF electromagneti3y method of moments (MoM)i a well-establiFyi techniHH but produces a denseis edance matri and becomes the major drawback. Recently, the use of wavelets for the solutil of electromagneti (EM)i tegralequatiHz (IE) recei es more attentien [1]--[10]. The term `wavelet' was i troduced byGrossman and Morlet [11] todescri e a squarei tegrable functiey appropriDz translatizD anddiyAH3Dy ofwhi h form abasi for L 2 (# ). The mostsaliA t features of wavelets are sparse matri can be obtaiy/H Because a classiy/ basi functiy contaiH onlymagni/HFzF2yi iiagni/H whi the wavelet i constructed not onlymagnizAAAHyiz but also frequency (scale) incy(scale) Beylki et al. [9], [10] first appliH wavelets to thesoluti3 of IE haviH smooth kernels(silsy# to thosei electrostati case). For such problems, wavelets can be used toobtai asolutiy i O(N log N) op eratiDy/ where