Algebraic solution of time-domain nonuniform transmission-line equations by 2-D wavelet transform

In this paper, the numerical solution of nonuniform transmission lines is treated. The method proposed is based on the double wavelet expansion of the multiconductor transmission lines (MTL) equations; the expansion is performed both in the time domain and in the space domain, and the coupled partial differential equations become an algebraic system in the Lyapunov form which is solved by the use of standard techniques. The method has been tested in many cases and has demonstrated to require low CPU time consumption and low memory occupation.