by Chan Chung-Kei, Thomas. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 125-[129]). / Abstract also in Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Semiconductor Device Physics --- p.5 / Chapter 2.1 --- IC Design Methodology --- p.6 / Chapter 2.1.1 --- System Level --- p.7 / Chapter 2.1.2 --- Circuit Level --- p.7 / Chapter 2.1.3 --- Device Level --- p.8 / Chapter 2.1.4 --- Process Level --- p.8 / Chapter 2.2 --- Classification of Device Models --- p.8 / Chapter 2.2.1 --- Circuit Models --- p.9 / Chapter 2.2.2 --- Physical Models --- p.10 / Chapter 2.3 --- Classical Drift-Diffusion model --- p.13 / Chapter 2.3.1 --- Basic Governing Equations in Semiconductors --- p.13 / Chapter 2.3.2 --- Shockley-Read-Hall Recombination Statics --- p.15 / Chapter 2.3.3 --- Boundary Conditions --- p.18 / Chapter 2.4 --- pn Junction at equilibrium --- p.20 / Chapter 2.4.1 --- The depletion approximation --- p.23 / Chapter 2.4.2 --- Current-voltage Characteristics --- p.26 / Chapter 3 --- Iteration Scheme --- p.30 / Chapter 3.1 --- Gummel's iteration scheme --- p.31 / Chapter 3.2 --- Modified Gummel's iteration scheme --- p.35 / Chapter 3.3 --- Solution of Differential Equation --- p.38 / Chapter 3.3.1 --- Finite Difference Method --- p.38 / Chapter 3.3.2 --- Moment Method --- p.39 / Chapter 4 --- Theory of Wavelets --- p.43 / Chapter 4.1 --- Multi-resolution Analysis --- p.43 / Chapter 4.1.1 --- Example of MRA with Haar Wavelet --- p.46 / Chapter 4.2 --- Orthonormal basis of Wavelets --- p.52 / Chapter 4.3 --- Fast Wavelet Transform --- p.56 / Chapter 4.4 --- Wavelets on the interval --- p.62 / Chapter 5 --- Galerkin-Wavelet Method --- p.66 / Chapter 5.1 --- Wavelet-based Moment Methods --- p.67 / Chapter 5.1.1 --- Wavelet transform on the stiffness matrix --- p.67 / Chapter 5.1.2 --- Wavelets as basis functions --- p.68 / Chapter 5.2 --- Galerkin-Wavelet method --- p.69 / Chapter 5.2.1 --- Boundary Conditions --- p.73 / Chapter 5.2.2 --- Adaptive Scheme --- p.74 / Chapter 5.2.3 --- The Choice of Classes of Wavelet Bases --- p.76 / Chapter 6 --- Numerical Results --- p.80 / Chapter 6.1 --- Steady State Solution --- p.81 / Chapter 6.1.1 --- Daubechies Wavelet N = 2 --- p.82 / Chapter 6.1.2 --- Daubechies Wavelet N=5 --- p.84 / Chapter 6.1.3 --- Discussion on Daubechies wavelets N = 2 and N=5 --- p.86 / Chapter 6.2 --- Transient Solution --- p.91 / Chapter 6.3 --- Convergence --- p.99 / Chapter 7 --- Conclusion --- p.103 / Chapter A --- Derivation for steady state --- p.107 / Chapter A.1 --- Generalized Moll-Ross Relation --- p.107 / Chapter A.2 --- Linearization of PDEs --- p.110 / Chapter B --- Derivation for transient state --- p.113 / Chapter C --- Notation --- p.119 / Chapter D --- Elements in the Stiffness Matrix --- p.122 / Bibliography --- p.125

Made available in DSpace on 2014-06-12T17:39:28Z (GMT). No. of bitstreams: 2 arquivo6902_1.pdf: 3068620 bytes, checksum: eb2722910d045ddc14f0488856268b0c (MD5) license.txt: 1748 bytes, checksum: 8a4605be74aa9ea9d79846c1fba20a33 (MD5) Previous issue date: 2007 / Esta dissertação se propõe a investigar a representação de sinais no plano tempofreq üência e, mais especificamente, os problemas relativos à resolução de sinais. O princípio da incerteza de Gabor-Heisenberg para sinais e wavelets é analisado criteriosamente. Versões de Gnedenko-Kolmogorov do tipo Teorema Central do Limite são avaliadas, procurando elucidar sua relevância no contexto da resolução de sinais. Finalmente, o conceito de derivada Blur é usado para propor uma nova família de wavelets - as wavelets beta - construídas a partir de distribuições beta de probabilidade. Essas wavelets são atrativas por terem suporte compacto, são monocíclicas, possuem descrição analítica e podem ser consideradas como uma generalização suavizada das wavelets de Haar. Sua relevância decorre do Teorema Central do Limite aplicado a wavelets de suporte compacto. Campos promissores para aplicação destas wavelets são mencionado

No description available.

Orientador: Orlando José Tobias. / Coorientador: Marcelo Grafulha Vanti. / Dissertação (mestrado) - Universidade Regional de Blumenau, Centro de Ciências Tecnológicas, Programa de Pós-Graduação em Engenharia Elétrica.

Qin, Guiming. / "August 2010." / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (p. 72-74). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 1.1 --- B splines and B-splines surfaces --- p.5 / Chapter 1. 2 --- Box spline --- p.6 / Chapter 1. 3 --- Biorthogonal subdivision wavelets based on the lifting scheme --- p.7 / Chapter 1.4 --- Geometrically-constrained subdivision wavelets --- p.9 / Chapter 1.5 --- Contributions --- p.9 / Chapter 2 --- Explicit symbol formulae for B-splines --- p.11 / Chapter 2. 1 --- Explicit formula for a general recursion scheme --- p.11 / Chapter 2. 2 --- Explicit formulae for de Boor algorithms of B-spline curves and their derivatives --- p.14 / Chapter 2.2.1 --- Explicit computation of de Boor Algorithm for Computing B-Spline Curves --- p.14 / Chapter 2.2.2 --- Explicit computation of Derivatives of B-Spline Curves --- p.15 / Chapter 2. 3 --- Explicit power-basis matrix fomula for non-uniform B-spline curves --- p.17 / Chapter 3 --- Biorthogonal subdivision wavelets with geometric constraints --- p.23 / Chapter 3. 1 --- Primal subdivision and dual subdivision --- p.23 / Chapter 3. 2 --- Biorthogonal Loop-subdivision-based wavelets with geometric constraints for triangular meshes --- p.24 / Chapter 3.2.1 --- Loop subdivision surfaces and exact evaluation --- p.24 / Chapter 3.2.2 --- Lifting-based Loop subdivision wavelets --- p.24 / Chapter 3.2.3 --- Biorthogonal Loop-subdivision wavelets with geometric constraints --- p.26 / Chapter 3. 3 --- Biorthogonal subdivision wavelets with geometric constraints for quadrilateral meshes --- p.35 / Chapter 3.3.1 --- Catmull-Clark subdivision and Doo-Sabin subdivision surfaces --- p.35 / Chapter 3.3.1.1 --- Catmull-Clark subdivision --- p.36 / Chapter 3.3.1.2 --- Doo-Sabin subdivision --- p.37 / Chapter 3.3.2 --- Biorthogonal subdivision wavelets with geometric constraints for quadrilateral meshes --- p.38 / Chapter 3.3.2.1 --- Biorthogonal Doo-Sabin subdivision wavelets with geometric constraints --- p.38 / Chapter 3.3.2.2 --- Biorthogonal Catmull-Clark subdivision wavelets with geometric constraints --- p.44 / Chapter 4 --- Experiments and results --- p.49 / Chapter 5 --- Conclusions and future work --- p.60 / Appendix A --- p.62 / Appendix B --- p.67 / Appendix C --- p.69 / Appendix D --- p.71 / References --- p.72

"August, 2003" Bibliography: p. 261-268. In this thesis, wavelet transforms are chosen as the primary analytical tool for texture analysis. Specifically, Dual-Tree Complex Wavelet Transform is applied to the texture segmentation problem. Several possibilities for feature extraction and clustering steps are examined, new schemes being introduced and compared to known techniques.

Includes bibliographical references (leaves 199-214) / xxx, 214 leaves : ill. (some col.), plates (col.) ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Thesis (Ph.D.)--University of Adelaide, Dept. of Electrical and Electronic Engineering, 2002

"August, 2003" / Bibliography: p. 261-268. / xxvi, 268 p. : ill. (some col.) ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / In this thesis, wavelet transforms are chosen as the primary analytical tool for texture analysis. Specifically, Dual-Tree Complex Wavelet Transform is applied to the texture segmentation problem. Several possibilities for feature extraction and clustering steps are examined, new schemes being introduced and compared to known techniques. / Thesis (Ph.D.)--University of Adelaide, Dept. of Electrical and Electronic Engineering, 2003

Thesis (M.Sc.)--Memorial University of Newfoundland, 2005. / Bibliography: leaves 81-84.

This thesis presents a new preconditioner for elliptic PDE problems on unstructured meshes. Using ideas from second generation wavelets, a multi-resolution basis is constructed to effectively compress the inverse of the matrix, resolving the sparsity vs. quality problem of standard approximate inverses. This finally allows the approximate inverse approach to scale well, giving fast convergence for Krylov subspace accelerators on a wide variety of large unstructured problems. Implementation details are discussed, including ordering and construction of factored approximate inverses, discretization and basis construction in one and two dimensions, and possibilities for parallelism. The numerical experiments in one and two dimensions confirm the capabilities of the scheme. Along the way I highlight many new avenues for research, including the connections to multigrid and other multi-resolution schemes.