Co-operative Research of Analysis Method for Very High Speed Integrated Circuits Composed of Distributed and Lumped Elements

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We had 6 meetings on this research project during these two years. Main new results obtained by the members of this research within this period are given as follows.(1) We summarized the state of the art of this subject and classified systematically various analysis methods so far known.(2) Both the characteristics impedance function Zo (s) and a bilinear function of the phase characteristics rheta (s) of distributed elements have to be approximated by rational positive real functions. The approximation by means of these functions resulted in better property of convergence than the conventional Pade approximation method.(3) A new method of the transient analysis for multi-phase circuits in power system having multi-branches are presented and the validity by numerical simulation are shown.(4) For general numerical analysis, a numerical validation method using the interval analysis and rational arithmetic is presented and some further improvements of this method are given.(5) A Katzenelson-like algorithm was presented for solving piecewise-linear resistive network and its global and quadratic convergence were proved.(6) A transient analysis algorithm combining frequency-domain simulation for distributed constant circuit (transmission line) and time-domain simulation for lumped constant circuit (logic gate) was proposed. It utilized wavr relaxation method.(7) A new algorithm for general circuit analysis was implemented on parallel computer. The program enables us to treat fundamental block of integrated circuits simulation system for various circuits including transmission lines and nonlinear elements.(8) A new equivalent circuit for a dielectric filter was proposed, where the equivalent circuit consists of multiconductor transmission line and lumped constant elements and element values are determined from experimental results. The total characteristics of circuit are much coincident with physical results over wide frequency than usual model.