Research On The Analysis Of Microwave Andhigh-speed Circuits With Parameters Variation In A Broad Region

As is known to all, modern electronics technique has made rapid progress, the characteristic size decreases day by day and the integration density and clock frequency are continuously increasing. The analysis on the electrical performance of microwave and high speed circuit system becomes more and more important. Correspondingly, the related research topics are widely studied in the recent years. Currently, the full-wave analysis of electromagnetism, parameter extraction, circuit modeling, fast analyses of circuit and system, and commercial software development have been widely researched. However, due to some practical difficulties, researches on the synthesis or design of structures on the level of layout are rarely found and make slow progress.Under the background as just mentioned, this research is aimed at the synthesis of circuit on layout level, and focused on the parameter-variation analysis and the establishment of multiple-variable model. This dissertation presents some new methods or modified approaches to improve the efficiency of computation and analysis, and make them be more practical. The contents are arranged as follows.1) The basic principle and modifications of asymptotic waveform evaluation (AWE) in size dimension was introduced and described in detail. Applications related to parameter-variation by AWE were then calculated with high efficiency and accuracy. Besides, the methodology of combination of AWE and matrix partition is also presented which especially suits to cases where only partial circuits are tunable with most circuits are fixed.2) The adaptive sectional method is presented, which overcomes the difficulty of analysis of problems with strong nonlinearity and multiple peaks by the traditional interpolation and approximation methods. It is based on the pseudo polynomial model and Pade rational model. With the combination of the validation between the samples and validation between the models, the method can give the approximation accurately section by section, and can be successfully applied in such analysis as Z-profile of the power/ground planar structure with slot.3) The Laurent-series-based AWE was presented, which can be applied in cases where the basic AWE cannot be applied. It is good complementarity and expansion of the basic AWE due to its ability of bi-directional extrapolation. It helps to decide the proper capacitor quickly to low the Z-profile of the system when applied to the selection of the decoupling capacitors in power delivery system.4) The broad band AWE was introduced, which guarantees the reliable application of AWE in a specific broad band approximation. Based on the effective bandwidth estimation, the new method selects the multiple expansion points automatically by a simple compare algorithm, then implements the AWE process on every expansion point, thereby expands the variable bandwidth of the AWE greatly.5) The multi-dimensional AWE and the corresponding adaptive sampling technique in multiple dimensions were presented. The conventional 1D-AWE cannot meet the requirements of analysis of multi-dimensional problems in practice. To satisfy these requirements and make this method more general, the multi-dimensional MD-AWE method was presented as an extension and complement of the normal 1D-AWE method. Combined with the adaptive sampling technique in multiple dimensions, it can be applied in the fast analysis and modeling of problems with specific broad region.Besides, all of the approaches have been programmed in computer and some applications are calculated by these approaches with results comparable to other available data or methods.