TY  - BOOK
AU  - Riddle,Alfred
AU  - Dick,Samuel
TI  - Applied electronic engineering with mathematica / 
SN  - 0201534770
PY  - 1995///
CY  - Massachusetts
PB  - Addison-Wesley
KW  - MATHEMATICA-COMPUTER FILER
KW  - ELECTRONICS-DATA PROCESSING
KW  - FILETER DESIGN
KW  - TRANSFER FUNCTIONS
KW  - TRANSFORMATION
KW  - DIGITAL FILTERING
KW  - STABILITY CIRCLES
KW  - MATCHING-NETWORK
KW  - LAPLACIAN DESCRIPTION
KW  - SMALL-SIGNAL CIRCUITS
KW  - VOLTAGE
KW  - POWER-CONVERSION UTILITIES
N1  - Incluye diskette, nº inv. RE0196; CONTENIDO
1 Groundwork 1
1.1 The Symbolic Advantage 1
1.2 Computer-Aided Engineering 2
1.2.1 How Do You Want CAD to Help You? 3
1.2.2 Mathematica and Nodal 5
1.3 First Steps 5
1.4 Foundation Skills 6
1.4.1 Basic Electronics Knowledge 6
1.4.2 A Little Mathematica 6
1.4.3 Differences Between Linear and Nonlinear Circuit Analysis 7
1.4.4 Netlists 7
1.4.5 Value Scaling with Qualifiers 11
1.4.6 Naming of Objects 14
1.4.7 On-Line Help 14
1.4.8 Options 16
1.4.9 Layout and Style 17
1.5 Error Messages 18
1.6 Summary 19
1.7 References 19
2 DC Circuits 21
2.1 Voltage and Current in Resistive Circuits 21
2.1.1 Mesh Analysis 26
2.1.2 Multistate DC Circuits 33
2.2 Power-Conversion Utilities 36
2.3 Attenuator Design 41
2.4 Nonlinear DC Circuits 43
2.4.1 Device Characterization Using Experimental Data 44
2.4.2 Nonlinear Circuit Analysis 52
2.5 Summary 59
2.6 Exercises 59
2.7 References 60
3 Small-Signal Circuits I: Introduction 61
3.1 Magnitude and Phase Calculation in RLC Circuits 61
3.1.1 Elementary Technique 61
3.1.2 Mesh Analysis 68
3.1.3 Nodal Analysis 71
3.2 Small-Signal Analysis Techniques 74
3.2.1 Preparation for Analysis 74
3.2.2 Dynamic and Static Device Properties 76
3.3 Analysis of Circuits Containing Active Devices 79
3.3.1 Voltage-Controlled Voltage Sources 79
3.3.2 Operational Amplifiers 83
3.3.3 Voltage-Controlled Current Sources 85
3.3.4 Current-Controlled Current Sources 89
3.3.5 Current-Controlled Voltage Sources 89
3.4 Device-Equivalent Circuits 90
3.4.1 The FET Model 90
3.4.2 The BJT Model 91
3.5 Oscillators and Feedback Network Design 92
3.6 Summary 97
3.7 Exercises 97
3.8 References 98
4 Small-Signal Circuits II: Multiport Analysis 99
4.1 Introduction to the Analysis Method 100
4.1.1 Y-Parameters 100
4.1.2 Z-Parameters 101
4.1.3 ABCD-Parameters 102
4.1.4 Parameter Calculation 102
4.2 Matrix Analysis with Mathematica 105
4.3 General Matrix Analysis 112
4.3.1 ABCD-Matrices 113
4.4 Matrix Transformations 115
4.4.1 Object-Oriented Technique 116
4.5 CAD Program 117
4.6 S-Parameters 121
4.6.1 Reflections and Matched Terminations 122
4.6.2 Use of S-Parameters in Analysis 123
4.6.3 Conversion of Z-Parameters to S-Parameters 127
4.6.4 Properties of S-Parameters 128
4.7 Summary 131
4.8 Exercises 131
4.9 References 132
5 Component Design and Sensitivity Analysis 133
5.1 Component Value Functions and Utilities 133
5.2 RLC Filter Design 134
5.3 What-If Sensitivity Analysis 138
5.4 Differential Sensitivity Analysis 145
5.5 Cost Minimization 148
5.6 Summary 150
5.7 Exercises 151
6 Time Series and Spectral Analysis 153
6.1 Time Series 153
6.1.1 Generation of Time Series 153
6.1.2 Statistical Analysis and Plotting 154
6.1.3 Generation of Time Series with Specific Noise Properties 157
6.1.4 Correlation and Convolution 160
6.1.5 Synthesis of Functions 163
6.2 Fourier Analysis 165
6.3 Frequency-Domain Filtering 167
6.4 Summary 169
6.5 Exercises 170
6.6 References 170
7 s-Domain (Laplace) Analysis 171
7.1 Laplacian Description of Signals 171
7.2 s-Domain Transfer Functions 173
7.3 Visualization of Pole-Zero Descriptions 174
7.4 Determination of Circuit Impulse and Step Responses 176
7.5 Summary 186
7.6 Exercises 186
7.7 References 187
8 Filter Design 189
8.1 Transfer Functions 189
8.1.1 The Butterworth Response 191
8.1.2 The Chebyshev Response 192
8.1.3 Pole-Zero Locations 193
8.1.4 Component Values 196
8.2 Transformations 199
8.2.1 Impedance Scaling 199
8.2.2 Frequency Scaling 201
8.2.3 High-Pass Transformation 204
8.2.4 Band-Pass Transformation 206
8.3 Basic Synthesis 210
8.3.1 Singly Terminated Synthesis 211
8.3.2 Component Values by Continued Fraction Expansion 211
8.4 Advanced Synthesis 215
8.4.1 Doubly Terminated Synthesis 216
8.4.2 Spectral Factorization 216
8.4.3 A Butterworth Example 219
8.4.4 Pole-Zero Extraction 220
8.4.5 Design by Optimization 224
8.5 Digital Filtering 230
8.5.1 Sampling of Signals 231
8.5.2 Mapping of s- to z-Plane 233
8.5.3 Infinite Impulse Response Filters 233
8.5.4 Finite Impulse Response Filters 238
8.6 Summary 341
8.7 Exercises 241
8.8 References 242
9 High-Frequency Circuits and Analysis 245
9.1 The Smith Chart 245
9.1.1 Impedance and Reflection 245
9.1.2 Generation of a Smith Chart 248
9.1.3 Smith Chart Function 250
9.2 Stability Analysis Using S-Parameters 254
9.2.1 Device K Factor 255
9.2.2 CAD and the Stability Factor 256
9.3 Stability Circles 258
9.3.1 Gain Circles 260
9.3.2 A Gain Circle Example 263
9.4 Matching-Network Design 265
9.4.1 Smith Chart Impedance Traces 265
9.4.2 Smith Chart Admittance Traces 265
9.4.3 Matching-Network Design 268
9.4.4 Design Evaluation with Nodal 271
9.5 System Design 273
9.5.1 Cascade Analysis Mathematics 274
9.5.2 A Cascade-Analysis Program 276
9.5.3 Plotting the Cascade Analysis 279
9.5.4 Drawing the Cascade 280
9.6 Summary 281
9.7 Exercises 282
9.8 References 283
10 Noise Analysis 285
10.1 Random Signals 285
10.1.1 White Noise 286
10.1.2 Brown Noise 290
10.1.3 Pink Noise 292
10.2 Autocorrelation and Power 295
10.3 Multiple Signals and Correlation Matrices 299
10.3.1 The Correlation Matrix 300
10.3.2 Resistor Noise 300
10.3.3 Circuit Noise 301
10.4 Noise Matrix Analysis 304
10.4.1 Noise Matrix Description 304
10.4.2 Converting Correlation Z-Matrix to Y-Matrix 305
10.4.3 The Correlation ABCD-Matrix 308
10.5 Noise Figure 310
10.5.1 Signal-to-Noise Degradation 310
10.5.2 Noise Figure and Noise Sources 311
10.5.3 Noise Figure Relationships 313
10.6 Noise Solutions with Nodal 315
10.7 Summary 317
10.8 Exercises 317
10.9 References 318
Appendix 319
A.1 Mathematica Functions 319
A.1.1 Syntax 319
A.1.2 Numbers 320
A.1.3 Lists 320
A.1.4 Manipulating Lists 320
A.1.5 Basic Arithmetic Operations 321
A.1.6 Complex Numbers 321
A.1.7 Rule Symbol and Replacement 321
A.1.8 Manipulating Expressions 321
A.1.9 Prefix, Infix, and Postfix Forms of Operators 322
A.1.10 Matrix Multiplication 322
A.1.11 User-Defined Functions 322
A.1.12 Reading Data from ASCII Files 322
A.1.13 Fitting Data to Functions 322
A.1.14 Manipulating Equations 322
A.1.15 Calculus 323
A.1.16 Anonymous Functions 323
A.1.17 Random Number Generation 323
A.1.18 Laplace Transform 324
A.1.19 Manipulating Polynomials 324
A.2 Nodal Components, Functions, Utilities, and Constants 324
A.2.1 Components 324
A.2.2 Nodal Functions 331
A.2.3 Nodal Utilities 333
A.3 Graphics 340
A.3.1 Lists 340
A.3.2 Log Plots 343
A.3.3 Adding a Legend 344
A.3.4 Multiline Plots 345
A.3.5 Magnitude and Phase Plots 346
A.3.6 Polar Plots 348
A.3.7 Smith Charts 351
A.4 Importing Data 351
A.5 Exporting Data 357
A.6 Example Code Usage 359
A.7 Complex Algebra 366
Index 371
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