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postgraduate thesis: Fast simulation of weakly nonlinear circuits based on multidimensionalinverse Laplace transform

TitleFast simulation of weakly nonlinear circuits based on multidimensionalinverse Laplace transform
Authors
Advisors
Advisor(s):Leung, CHLee, WK
Issue Date2012
PublisherThe University of Hong Kong (Pokfulam, Hong Kong)
Citation
Wang, T. [王婷婷]. (2012). Fast simulation of weakly nonlinear circuits based on multidimensional inverse Laplace transform. (Thesis). University of Hong Kong, Pokfulam, Hong Kong SAR. Retrieved from http://dx.doi.org/10.5353/th_b4985861
AbstractThis dissertation presents several solutions on the simulation of weakly nonlinear circuits. The work is motivated by the increasing demand on fast yet accurate simulation methods circuits (IC)s, and the current lack of such methods in the electronic design automation (EDA) / computer-aided design (CAD) community. Three types of frequency domain methods are studied to analyze weakly nonlinear circuits. The first method employs numerical multi-dimensional inverse Laplace transform based on Laguerre function expansion. An adaptive mesh refinement (AMR) technique is developed and its parallel implementation is introduced to speed up the computation. The second method applies a Fourier series based algorithm to invert Laplace transform. The algorithm is straightforward to implement, and gives increasing accuracy with increasing number of frequency sampling points. It employs a fast Fourier transform (FFT)-based method to directly invert the frequency domain solution. Its parallel routine is also studied. The third method is based on Gaver functional. It enjoys a high accuracy independent of the number of sampling points, and for multidimensional simulation, only the diagonal points in the matrix are required to be computer, which can be further speeded up by parallel implementation. Numerical results show that the aforementioned three methods enjoy good accuracy as well as high efficiency. A comparative study is carried out to investigate the strengths and drawbacks of each method.
DegreeMaster of Philosophy
SubjectElectric circuits, Nonlinear.
Laplace transformation.
Dept/ProgramElectrical and Electronic Engineering
Persistent Identifierhttp://hdl.handle.net/10722/181869

 

DC FieldValueLanguage
dc.contributor.advisorLeung, CH-
dc.contributor.advisorLee, WK-
dc.contributor.authorWang, Tingting-
dc.contributor.author王婷婷-
dc.date.accessioned2013-03-20T06:29:35Z-
dc.date.available2013-03-20T06:29:35Z-
dc.date.issued2012-
dc.identifier.citationWang, T. [王婷婷]. (2012). Fast simulation of weakly nonlinear circuits based on multidimensional inverse Laplace transform. (Thesis). University of Hong Kong, Pokfulam, Hong Kong SAR. Retrieved from http://dx.doi.org/10.5353/th_b4985861-
dc.identifier.urihttp://hdl.handle.net/10722/181869-
dc.description.abstractThis dissertation presents several solutions on the simulation of weakly nonlinear circuits. The work is motivated by the increasing demand on fast yet accurate simulation methods circuits (IC)s, and the current lack of such methods in the electronic design automation (EDA) / computer-aided design (CAD) community. Three types of frequency domain methods are studied to analyze weakly nonlinear circuits. The first method employs numerical multi-dimensional inverse Laplace transform based on Laguerre function expansion. An adaptive mesh refinement (AMR) technique is developed and its parallel implementation is introduced to speed up the computation. The second method applies a Fourier series based algorithm to invert Laplace transform. The algorithm is straightforward to implement, and gives increasing accuracy with increasing number of frequency sampling points. It employs a fast Fourier transform (FFT)-based method to directly invert the frequency domain solution. Its parallel routine is also studied. The third method is based on Gaver functional. It enjoys a high accuracy independent of the number of sampling points, and for multidimensional simulation, only the diagonal points in the matrix are required to be computer, which can be further speeded up by parallel implementation. Numerical results show that the aforementioned three methods enjoy good accuracy as well as high efficiency. A comparative study is carried out to investigate the strengths and drawbacks of each method.-
dc.languageeng-
dc.publisherThe University of Hong Kong (Pokfulam, Hong Kong)-
dc.relation.ispartofHKU Theses Online (HKUTO)-
dc.rightsThe author retains all proprietary rights, (such as patent rights) and the right to use in future works.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.source.urihttp://hub.hku.hk/bib/B49858610-
dc.subject.lcshElectric circuits, Nonlinear.-
dc.subject.lcshLaplace transformation.-
dc.titleFast simulation of weakly nonlinear circuits based on multidimensionalinverse Laplace transform-
dc.typePG_Thesis-
dc.identifier.hkulb4985861-
dc.description.thesisnameMaster of Philosophy-
dc.description.thesislevelMaster-
dc.description.thesisdisciplineElectrical and Electronic Engineering-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.5353/th_b4985861-
dc.date.hkucongregation2013-

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