An Improved FDTD Formulation for High-Order Linear Circuit Based on Matrix Theory and Improved Integral Transform

摘要

Millimeter-wave (MMW) communication systems, specially from 60 GHz band, are expected to play a key role in realizing the intelligent transportation system (ITS) for high date rate and mulitmedia communications. During the last years, System-in-package (SiP) solutions for MMW RF-transceiver have become an attractive alternative to System-on-Chip (SoC) approaches. In the scheme, active circuits are integrated with passive circuit much tightly. Traditional distributed hybrid circuit concept, such as ADS and Microwave Office, is not quite applicable for SiP, specially in MMW frequency. In this paper, an improved finite-difference time-domain formulation using the matrix theory and an improved integral transform is presented to solve hybrid high-order linear lumped circuit and passive circuit problem implicitly instead of explicit method used for traditional FDTD method. In this improved method, general high-order linear lumped circuit is expressed firstly as not only one equation but also equations set according kirchhoff's laws. Then, a local iterative matrix expression connecting with each active circuit can be built when EM fields, current/current density and interior variable of equations set are treated as separated vector element. In order to make this formulation stable, an improved integral transform is proposed to reform the matrix's condition number. Simulations show that the results by our improved FDTD formulation can effectively not only keep the accuracy of passive circuit, but also integrate high-order linear lumped circuit expressed by equations set as well as one equation.