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postgraduate thesis: Nonlinear circuits modeling and analysis by the associated transform of Volterra transfer functions
Title | Nonlinear circuits modeling and analysis by the associated transform of Volterra transfer functions |
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Authors | |
Advisors | Advisor(s):Wong, N |
Issue Date | 2013 |
Publisher | The University of Hong Kong (Pokfulam, Hong Kong) |
Citation | Zhang, Y. [張陽]. (2013). Nonlinear circuits modeling and analysis by the associated transform of Volterra transfer functions. (Thesis). University of Hong Kong, Pokfulam, Hong Kong SAR. Retrieved from http://dx.doi.org/10.5353/th_b5194797 |
Abstract | 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. |
Degree | Doctor of Philosophy |
Subject | Electronic circuits - Mathematical models |
Dept/Program | Electrical and Electronic Engineering |
Persistent Identifier | http://hdl.handle.net/10722/197528 |
HKU Library Item ID | b5194797 |
DC Field | Value | Language |
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dc.contributor.advisor | Wong, N | - |
dc.contributor.author | Zhang, Yang | - |
dc.contributor.author | 張陽 | - |
dc.date.accessioned | 2014-05-27T23:16:41Z | - |
dc.date.available | 2014-05-27T23:16:41Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Zhang, Y. [張陽]. (2013). Nonlinear circuits modeling and analysis by the associated transform of Volterra transfer functions. (Thesis). University of Hong Kong, Pokfulam, Hong Kong SAR. Retrieved from http://dx.doi.org/10.5353/th_b5194797 | - |
dc.identifier.uri | http://hdl.handle.net/10722/197528 | - |
dc.description.abstract | 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. | - |
dc.language | eng | - |
dc.publisher | The University of Hong Kong (Pokfulam, Hong Kong) | - |
dc.relation.ispartof | HKU Theses Online (HKUTO) | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.rights | The author retains all proprietary rights, (such as patent rights) and the right to use in future works. | - |
dc.subject.lcsh | Electronic circuits - Mathematical models | - |
dc.title | Nonlinear circuits modeling and analysis by the associated transform of Volterra transfer functions | - |
dc.type | PG_Thesis | - |
dc.identifier.hkul | b5194797 | - |
dc.description.thesisname | Doctor of Philosophy | - |
dc.description.thesislevel | Doctoral | - |
dc.description.thesisdiscipline | Electrical and Electronic Engineering | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.5353/th_b5194797 | - |
dc.identifier.mmsid | 991036879699703414 | - |