Graduation date: 1999

With smaller electronic devices and higher transmission speeds, a digital circuit will cause potential electromagnetic interference (EMI) and signal integrity (SI) problems. Nowadays, the flexible printed circuit board (FPC) is widely used in electronic systems, especially in the video circuit. In this thesis, we used transmission line model to explain effect of the structure of the flexible printed circuit board transmission lines. Eye-diagram is a fast and convenient tool to analyze the quality of the high speed transmission, and we can use the equivalent model to substitute for the electromagnetic (EM) model to simulate the performance. We used differential circuit and the reflection gain to increase the height and width parameters of Eye-diagram, and make the quality of signal transmission higher. For video driver circuit, since the terminal resistance is different depending on whether the IC is on or off, the standard probe cannot measure mixed-mode S-parameter directly due to the connectors. Thus, we provided a de-embedding method to remove the effects of high speed interconnect line on the test board. Finally, we use a simple structure to verify the method, and it can be used to measure mixed-mode S-parameter on the standard of Mobile Industry Processor Interface (MIPI) for D-PHY, v0.90.00.

Two kinds of computational electromagnetics (CEM) methodology are discussed for the challenges in integrated circuit (IC) and printed circuit board (PCB) design. One is an extension of Cagniard-de Hoop method that provides analytic time-domain expressions for the field constituents, making up some drawbacks of numerical techniques that would lose power in super-high frequency simulation or extreme fine structure. A modeling of line-source excited by electromagnetic pulse is analyzed for a thin sheet with high-contrast dielectric and conductive properties. The response of reflection and transmission to the power exponential pulse and the power exponential monocycle pulse are studied using this newly proposed method consequently as a benchmark for practical design. The other method focuses on improving the broadband accuracy of the mixed-form fast multipole algorithm (MF-FMA) by applying rotation techniques. Coordinate system rotation with rotation matrix and pseudo-spectral projection rotation based on fast Fourier transform (FFT) are discussed. Through rotation, translation matrices become very sparse, which enables us to save storage as well as the CPU time. Either of them has certain advantages depending on the number of harmonics used. Hence, increasing the number of multipoles in the low frequency regime to shift up the transition region of MF-FMA can be feasible to improve the overall accuracy significantly. Numerical results of inter connector and sphere with large number of unknowns are given to certify the effectiveness of rotation methods. / published_or_final_version / Electrical and Electronic Engineering / Master / Master of Philosophy

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