# VLSI Circuit Simulation and Optimization

Springer Science & Business Media, 31.12.1996. - 354 страница
Circuit simulation has become an essential tool in circuit design and without it's aid, analogue and mixed-signal IC design would be impossible. However the applicability and limitations of circuit simulators have not been generally well understood and this book now provides a clear and easy to follow explanation of their function. The material covered includes the algorithms used in circuit simulation and the numerical techniques needed for linear and non-linear DC analysis, transient analysis and AC analysis. The book goes on to explain the numeric methods to include sensitivity and tolerance analysis and optimisation of component values for circuit design. The final part deals with logic simulation and mixed-signal simulation algorithms. There are comprehensive and detailed descriptions of the numerical methods and the material is presented in a way that provides for the needs of both experienced engineers who wish to extend their knowledge of current tools and techniques, and of advanced students and researchers who wish to develop new simulators.

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### Садржај

 Linear resistive circuit analysis 1 12 NODAL ANALYSIS 2 13 AUTOMATIC EQUATION FORMULATION 5 14 MODIFIED NODAL ANALYSIS 8 15 SOLUTION OF A SYSTEM OF LINEAR ALGEBRAIC EQUATIONS 17 16 SPARSITY AND THE OPTIMAL ORDERING OF CIRCUIT EQUATIONS 26 Analysis using transforms 35 22 THE LAPLACE TRANSFORM AND ITS APPLICATIONS 37
 632 The method of moments 228 633 The Monte Carlo method 231 64 TOLERANCE DESIGN 233 Electronic circuit optimization 237 72 BASIC TERMS AND DEFINITIONS 238 73 NEWTONS METHOD 243 74 APPLICATION OF NEWTONS METHOD 246 742 DC operating point design 249

 23 AUTOMATIC EQUATION FORMULATION 43 24 MULTIPORT AND MULTITERMINAL NETWORKS 44 25 FREQUENCY DOMAIN ANALYSIS 54 26 SYMBOLIC FUNCTION GENERATION 58 27 LINEAR SYSTEM DESCRIPTION BY NODAL FORMULATION 68 Nonlinear DC analysis 73 32 TWOTERMINAL COMPANION MODEL 75 33 EQUATION FORMULATION 80 34 NONLINEAR CIRCUIT ANALYSIS ALGORITHM 83 35 OTHER NONLINEAR ELEMENTS 85 36 CONVERGENCE ASPECTS OF NONLINEAR DC ANALYSIS 92 37 DC ANALYSIS OF ELECTRONIC CIRCUITS 95 Transient analysis of electronic circuits 99 42 STATEMENT OF THE PROBLEM 100 43 THE BACKWARD EULER FORMULA AND ITS APPLICATION 101 432 Application of the backward Euler formula 104 433 Analysis of nonlinear dynamic circuits 111 44 ACCURACY STABILITY AND STIFFNESS 118 45 MULTISTEP INTEGRATION FORMULAE 125 46 IMPLEMENTATION CONSIDERATIONS 129 47 SOME SPECIFIC APPLICATIONS 132 48 DEVICE MODELLING 144 481 Model generation 145 482 Classification of models 148 483 Model structure and related topics 149 Sensitivity analysis 151 52 TELLEGENS THEOREM 153 53 COMPUTATION OF SENSITIVITIES IN LINEAR RESISTIVE NETWORKS 155 54 MULTIPORT ADJOINT NETWORKS 162 55 SENSITIVITIES WITH RESPECT TO EXCITATIONS 167 56 SECOND ORDER SENSITIVITIES 171 57 SENSITIVITIES IN NONLINEAR CIRCUITS 174 58 SENSITIVITY IN THE FREQUENCY DOMAIN 179 582 Sensitivities of amplitude and phase responses 183 583 Sensitivities of networks containing transmission lines 185 584 Sensitivities with respect to conductances 186 585 Sensitivities of circuits without current dependencies 188 59 TIME DOMAIN SENSITIVITY ANALYSIS 190 510 LARGE CHANGE SENSITIVITY ANALYSIS OF LINEAR CIRCUITS 199 Tolerance analysis and design 211 62 BASIC TERMS AND DEFINITIONS 213 63 TOLERANCE ANALYSIS METHODS 225
 743 Chebyshev optimization 254 744 The leastpth approximation 257 75 CONSTRAINED OPTIMIZATION 260 76 QUASINEWTON METHODS 267 77 MULTIPLE CRITERIA OPTIMIZATION 268 78 OPTIMIZATION BY SIMULATED ANNEALING 269 Logic simulation 277 82 LOGIC STATE MODELLING 278 822 Threestate logic 279 823 High impedance state 281 824 Multiple state logic 282 826 Signal strengths 284 83 DELAY MODELS 286 832 Pure delay model 287 833 Ambiguous delay model 290 834 Inertial delay model 291 84 GATE MODELS 292 85 SIMULATION ALGORITHMS 297 852 1nterpreted simulation 298 853 Eventdriven simulation 299 854 Scheduling events 301 855 Zero delays 304 86 FAULT MODELS AND FAULT SIMULATION 305 862 Fault simulation 306 863 Parallel fault simulation 307 864 Deductive fault simulation 308 865 Concurrent fault simulation 309 87 FUNCTIONAL SIMULATION AND HARDWARE DESCRIPTION LANGUAGES 311 Mixedsignal simulation 315 92 SIGNAL CONVERSION 316 922 Logic to analogue interface 318 923 Insertion of interface models 321 93 SYNCHRONIZATION OF LOGIC AND CIRCUIT SIMULATORS 322 931 The lockstep algorithm 323 932 Optimistic simulation 324 934 Initialization 326 SPICE 327 VHDL 333 References 341 Index 349 Ауторска права

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