The exponential characteristic of the base-emitter Junction in bipolar transistors was used to make an accurate and fairly temperature independent multiplier. Using hybrid-pi transistor models and ECAP, a bandwidth of 350 MHz was predicted. Linearity is limited by emitter degeneration in the input differential stage rather than by the small errors in the actual multiplying stage. The multiplier was fabricated as a monolithic integrated circuit in the Tektronix integrated circuits laboratory. The prototype showed a bandwidth of 200 MHz, and a linearity of 2% over 50% of the dynamic range, when used as a variable gain amplifier. / Graduation date: 1968

Thesis (M. Phil.)--Hong Kong University of Science and Technology, 2003. / Includes bibliographical references (leaves 70-72). Also available in electronic version. Access restricted to campus users.

Thesis (M. Phil.)--University of Hong Kong, 2002. / Includes bibliographical references.

Model order reduction (MOR) is one of the general techniques in the fields of computeraided design (CAD) and electronic design automation (EDA) which accelerates the flow of electronic simulations and verifications. By MOR, the original circuit, which is described by a set of ordinary differential equations (ODEs), can be trimmed into a much smaller reduced-order model (ROM) in terms of the number of state variables, with approximately the same input-output (I/O) characteristics. Hence, simulations using this ROM will be much more efficient and effective than using the original system. In this thesis, a novel and fast approach of computing the projection matrices serving high-order Volterra transfer functions in the context of weakly and strongly nonlinear MOR is proposed. The innovation is to carry out an association of multivariate Laplace-domain variables in high-order multiple-input multiple-output (MIMO) transfer functions to generate univariate single-s transfer functions. In contrast to conventional projection-based nonlinear MOR which finds projection subspaces about every si in multivariate transfer functions, only that about a single s is required in the proposed approach. This translates into much more compact nonlinear ROMs without compromising accuracy. Different algorithms and their extensions are devised in this thesis. Extensive numerical examples are given to prove and verify the algorithms. / published_or_final_version / Electrical and Electronic Engineering / Doctoral / Doctor of Philosophy

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