# 編號88-VLSI-教材-22 - 國立成功大學

Electronics - Devices

Nov 27, 2013 (5 years and 6 months ago)

190 views

88
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VLSI
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22

VLSI

「電腦輔助分析與最佳化」實習教材

CONTENTS

Topic 1 Fundamental Concept

Basic Network Elements

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1
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1

Independ
ent Sources

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1
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2

Capacitor and Inductor in the Laplace Transform Domain

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1
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3

Definition of Ports and Terminals

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1
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5

Transducers (Dependent Sources)

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1
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5

Elementary Two
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Ports

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1
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7

Thevenin and Norton Transformations

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1
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10

Network Scaling

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1
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10

Network Funct
ions, Poles, and Zeros

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1
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12

Time Domain Response

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1
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14

Experiments and Exercises

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1
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15

Topic 2 Network Equations and Their Solution

Nodal Formulations

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2
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1

Nodal Formulation for Networks with VCTs

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2
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4

Mesh Formulations

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2
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7

Linear Equations and Gaussian E
limination

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2
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7

Triangular Decomposition (LU Decomposition)

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2
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9

Pivoting

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2
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13

Sparse Matrix Principles

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2
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13

Experiments and Exercises

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2
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18

Topic 3 Graph Theoretic Formulation of Network Equations

Oriented Graphs

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3
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1

Incidence Matrix
A

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3
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1

Cutset and Loopset Matrices

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---

3
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3

Orthogonality Relations for
Q

and
B

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3
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7

Independent Currents and Voltages

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3
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8

Incorporating Sources into Graph Considerations

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3
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9

Topological Formulation of Nodal Eq
uations

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3
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10

Topological Formulation of Loop Equations

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3
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13

State Variable Formulation

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3
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15

Experiments and Exercises

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3
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18

Topic 4 General Formulation Methods

Tableau Formulation

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4
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1

Block Elimination on the Tableau

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4
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7

Modified Nodal Formulation Usi
ng One Graph

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4
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8

Modified Nodal Formulation by Inspection

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4
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11

Nodal Analysis of Active Networks

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4
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16

Separate Current and Voltage Graphs

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4
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24

Representation of the Graphs on the Computer

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4
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29

Modified Nodal Formulation Using

I

a
nd

V
Graphs

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4
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30

Summary of the Formulation Methods

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4
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38

Experiments and Exercises

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4
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39

Topic 5 Sensitivities

Reasons for Considering Sensitivities

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5
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1

Sensitivity Definitions

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5
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1

Multiparameter Sensitivity

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5
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8

Sensitivity to Par
asitics and Operational Amplifiers
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------

5
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12

Sensitivities of Active Networks

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5
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15

Experiments and Exercises

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5
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21

Topic 6 Computer Generation of Sensitivities

Sensitivities of Linear Algebraic Systems

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6
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1

Sensitivity to OPAMPs and Parasitics

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6
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5

Applicatio
ns of the Adjoint System Method

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6
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9

Experiments and Exercises

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6
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21

Topic 7 Large Change Sensitivity and Related Topics

Large Change Sensitivity
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7
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1

Differential Sensitivity Using the
F

Matrix

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7
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8

Fault Analysis

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7
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12

Experiments a
nd Exercises

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7
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14

Topic 8 Introduction to Optimization Theory

Basic Definition

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8
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1

Classical Minimization

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8
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2

Basic Iterative Algorithm

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8
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3

Search Along a Line

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8
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5

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8
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8

Descent Methods for Minimization

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8
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12

Co
nstrained Minimization

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8
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15

Experiments and Exercises

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8
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16

Topic 9 Time Domain Sensitivities and Steady State

Sensitivity Networks

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9
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1

Sensitivity of Objective Functions

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9
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5

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7

n

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9
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9

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9
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10

Experiments and Exercises

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9
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12

Topic 10 Design by Minimization

Mean
-
Square Objective Functions

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10
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1

Matching of Complex Values

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10
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2

Minimax Design

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10
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3

Minimization of Sensitivity

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10
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3

Monte Carlo Analysis

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10
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4

General Optimization Procedure for Circuits

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10
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4

Experiments and Exercises

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10
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5