編號88-VLSI-教材-22 - 國立成功大學

salamiblackElectronics - Devices

Nov 27, 2013 (3 years and 8 months ago)

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編號

88
-
VLSI
-
教材
-
22








八十八年度大學校院「
VLSI
與系統設計」教育改進計




「電腦輔助分析與最佳化」實習教材















執行單位:國立成功大學

電機工程學系





人:







教授

民國八十八年六月三十日

電腦輔助分析與最佳化


CONTENTS


Topic 1 Fundamental Concept



Basic Network Elements

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--------------------------------
--------

1
-
1



Independ
ent Sources

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--------------------------------
-------------

1
-
2



Capacitor and Inductor in the Laplace Transform Domain

-------------------------------

1
-
3



Definition of Ports and Terminals

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-----------------------------

1
-
5



Transducers (Dependent Sources)

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-----------------------------

1
-
5



Elementary Two
-
Ports

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--------------------------------
-----------

1
-
7



Thevenin and Norton Transformations

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----------------------

1
-
10



Network Scaling

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--------------------------------
-----------------

1
-
10



Network Funct
ions, Poles, and Zeros

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------------------------

1
-
12



Time Domain Response

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--------------------------------
--------

1
-
14



Experiments and Exercises

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--------------------------------
----

1
-
15

Topic 2 Network Equations and Their Solution



Nodal Formulations

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--------------------------------
--------------

2
-
1



Nodal Formulation for Networks with VCTs

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---------------

2
-
4



Mesh Formulations

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--------------------------------
----------------

2
-
7



Linear Equations and Gaussian E
limination

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----------------

2
-
7



Triangular Decomposition (LU Decomposition)

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-----------

2
-
9



Pivoting

--------------------------------
--------------------------------
----------------------------

2
-
13



Sparse Matrix Principles

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--------------------------------
-------

2
-
13



Experiments and Exercises

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--------------------------------
----

2
-
18

Topic 3 Graph Theoretic Formulation of Network Equations



Oriented Graphs

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--------------------------------
-------------------

3
-
1



Incidence Matrix
A


--------------------------------
--------------------------------
------------

3
-
1



Cutset and Loopset Matrices

--------------------------------
--------------------------------
---

3
-
3



Orthogonality Relations for
Q

and
B


--------------------------------
--------------------

3
-
7



Independent Currents and Voltages

--------------------------------
---------------------------

3
-
8



Incorporating Sources into Graph Considerations

--------------------------------
---------

3
-
9



Topological Formulation of Nodal Eq
uations

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--------------

3
-
10



Topological Formulation of Loop Equations

--------------------------------
---------------

3
-
13



State Variable Formulation

--------------------------------
--------------------------------
-----

3
-
15

電腦輔助分析與最佳化



Experiments and Exercises

--------------------------------
--------------------------------
----

3
-
18

Topic 4 General Formulation Methods



Tableau Formulation

--------------------------------
--------------------------------
-------------

4
-
1



Block Elimination on the Tableau

--------------------------------
-----------------------------

4
-
7



Modified Nodal Formulation Usi
ng One Graph

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------------

4
-
8



Modified Nodal Formulation by Inspection

--------------------------------
----------------

4
-
11



Nodal Analysis of Active Networks

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--------------------------

4
-
16



Separate Current and Voltage Graphs

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------------------------

4
-
24



Representation of the Graphs on the Computer

--------------------------------
------------

4
-
29



Modified Nodal Formulation Using

I

a
nd

V
Graphs

---------------------------

4
-
30



Summary of the Formulation Methods

--------------------------------
----------------------

4
-
38



Experiments and Exercises

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--------------------------------
----

4
-
39

Topic 5 Sensitivities



Reasons for Considering Sensitivities

--------------------------------
------------------------

5
-
1



Sensitivity Definitions

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--------------------------------
-----------

5
-
1



Multiparameter Sensitivity

--------------------------------
--------------------------------
------

5
-
8



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

5
-
12



Sensitivities of Active Networks

--------------------------------
------------------------------

5
-
15



Experiments and Exercises

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--------------------------------
----

5
-
21

Topic 6 Computer Generation of Sensitivities



Sensitivities of Linear Algebraic Systems

--------------------------------
-------------------

6
-
1



Sensitivity to OPAMPs and Parasitics

--------------------------------
------------------------

6
-
5



Applicatio
ns of the Adjoint System Method

--------------------------------
----------------

6
-
9



Experiments and Exercises

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--------------------------------
----

6
-
21

Topic 7 Large Change Sensitivity and Related Topics



Large Change Sensitivity
--------------------------------
--------------------------------
--------

7
-
1



Differential Sensitivity Using the
F

Matrix

--------------------------------
---------------

7
-
8



Fault Analysis

--------------------------------
--------------------------------
--------------------

7
-
12



Experiments a
nd Exercises

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--------------------------------
----

7
-
14

Topic 8 Introduction to Optimization Theory



Basic Definition

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--------------------------------
-------------------

8
-
1



Classical Minimization

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--------------------------------
----------

8
-
2



Basic Iterative Algorithm

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--------------------------------
-------

8
-
3



Search Along a Line

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--------------------------------
--------------

8
-
5



Quadratic Functions in Several Variables

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--------------------

8
-
8



Descent Methods for Minimization

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--------------------------

8
-
12



Co
nstrained Minimization

--------------------------------
--------------------------------
-----

8
-
15



Experiments and Exercises

--------------------------------
--------------------------------
----

8
-
16

電腦輔助分析與最佳化

Topic 9 Time Domain Sensitivities and Steady State



Sensitivity Networks

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--------------------------------
-------------

9
-
1



Sensitivity of Objective Functions

--------------------------------
---------------------------


9
-
5



Steady State Using Sensitivity Network

--------------------------------
---------------------

9
-
7



Steady State on Objective Functio
n

--------------------------------
---------------------------

9
-
9



Steady State by Extrapolation

--------------------------------
--------------------------------
-

9
-
10



Experiments and Exercises

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--------------------------------
----

9
-
12

Topic 10 Design by Minimization



Mean
-
Square Objective Functions

--------------------------------
---------------------------

10
-
1



Matching of Complex Values

--------------------------------
--------------------------------
-

10
-
2



Minimax Design

--------------------------------
--------------------------------
-----------------

10
-
3



Minimization of Sensitivity

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--------------------------------
----

10
-
3



Monte Carlo Analysis

--------------------------------
--------------------------------
------------

10
-
4



General Optimization Procedure for Circuits

--------------------------------
--------------

10
-
4



Experiments and Exercises


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--------------------------------
----

10
-
5