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This dissertation, Analog Circuit Design by Nonconvex Polynomial Optimization: Two Design Examples by Siu-hong, Lui, 呂小康, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of thesis entitled Analog Circuit Design By Nonconvex Polynomial Optimization: Two Design Examples Submitted by Siu-Hong Lui B.Eng. (EComE) H.K.U. For the degree of Master of Philosophy at The University of Hong Kong in December 2007 Numerical algorithms have been applied in integrated circuit design for decades. In modern digital design flow, highly automated frameworks and electronic design aid tools have been implemented. These frameworks help designers to design and optimize integrated circuits with millions of transistors. However, in the analog circuit design domain, there are limited design automation tools available for design engineers. To this end, this thesis presents a framework for synthesizing low-power analog circuits through global optimization over generally nonconvex multivariate polynomial constraints. Specifically, a nonconvex optimization problem is formed, which is then efficiently solved through convex programming techniques based on linear matrix inequality (LMI) relaxation. The framework allows both polynomial inequality and equality constraints, thereby facilitating more accurate device modeling and parameter tuning. Compared to traditional nonlinear programming (NLP), the proposed methodology exhibits superior computational efficiency, and guarantees convergence to a globally optimal solution. As in other physical design tasks, circuit knowledge and insight are critical for initial problem formulation and setup, while the nonconvex optimization machinery provides a versatile tool and systematic way to locate the optimal parameters meeting design specifications. Two circuit design examples are given, namely a Nested Transconductance (G )-Capacitance Compensation (NGCC) amplifier and a Delta-Sigma Analog-to-Digital Converter (ADC), both of them being the key components in many electronic systems. DOI: 10.5353/th_b3955741 Subjects: Linear integrated circuits - Design and constructionPolynomialsElectronic circuit design

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