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postgraduate thesis: Fast simulation of weakly nonlinear circuits based on multidimensionalinverse Laplace transform
Title | Fast simulation of weakly nonlinear circuits based on multidimensionalinverse Laplace transform |
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Authors | |
Advisors | |
Issue Date | 2012 |
Publisher | The 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 |
Abstract | This 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. |
Degree | Master of Philosophy |
Subject | Electric circuits, Nonlinear. Laplace transformation. |
Dept/Program | Electrical and Electronic Engineering |
Persistent Identifier | http://hdl.handle.net/10722/181869 |
HKU Library Item ID | b4985861 |
DC Field | Value | Language |
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dc.contributor.advisor | Leung, CH | - |
dc.contributor.advisor | Lee, WK | - |
dc.contributor.author | Wang, Tingting | - |
dc.contributor.author | 王婷婷 | - |
dc.date.accessioned | 2013-03-20T06:29:35Z | - |
dc.date.available | 2013-03-20T06:29:35Z | - |
dc.date.issued | 2012 | - |
dc.identifier.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 | - |
dc.identifier.uri | http://hdl.handle.net/10722/181869 | - |
dc.description.abstract | This 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.language | eng | - |
dc.publisher | The University of Hong Kong (Pokfulam, Hong Kong) | - |
dc.relation.ispartof | HKU Theses Online (HKUTO) | - |
dc.rights | The author retains all proprietary rights, (such as patent rights) and the right to use in future works. | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.source.uri | http://hub.hku.hk/bib/B49858610 | - |
dc.subject.lcsh | Electric circuits, Nonlinear. | - |
dc.subject.lcsh | Laplace transformation. | - |
dc.title | Fast simulation of weakly nonlinear circuits based on multidimensionalinverse Laplace transform | - |
dc.type | PG_Thesis | - |
dc.identifier.hkul | b4985861 | - |
dc.description.thesisname | Master of Philosophy | - |
dc.description.thesislevel | Master | - |
dc.description.thesisdiscipline | Electrical and Electronic Engineering | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.5353/th_b4985861 | - |
dc.date.hkucongregation | 2013 | - |
dc.identifier.mmsid | 991034280579703414 | - |