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The Finite-Difference Time-Domain FDTD method has been extensively used to investigate electromagnetic problems and it usually requires large amount of computer resources and computational time. To improve the efficiency of the FDTD techniques, the Multi Resolution Time-Domain MRTD scheme, as a high-order expansion technique, has been recently developed for the analysis of practical electro-magnetic problems. In this paper, MRTD scheme is applied for the analysis of field distribution of two-dimensional (2-D) targets in a planar transmission line interconnect shielded using PEC boundary conditions for Transverse Magnetic(TM) and Transverse Electric (TE) waves. Analysis of the planar transmission line interconnect structure is done using MATLAB 7.2. Commonly used scaling and wavelet orthogonal functions are introduced for the electromagnetic problem. Field distributions within the structure are computed for Signal Integrity Analysis by conventional FDTD and MRTD and they are compared. The superiority of MRTD scheme over conventional FDTD is presented.