《Introductory System Analysis Signals and Systems in Electrical Engineering》

Chapter 1．The Language of Signals and Systems1

1-1．The Cause-and-effect Pattern1

1-2．A Radio Broadcast System2

1-3．Automatic Systems5

1-4．A System to Stabilize a Ship7

1-5．Signals and Systems11

Problems12

Chapter 2．Signals13

2-1．Signals：Physical and Analytical13

2-2．Exponential Signals15

2-3．Negative Real Values of s16

2-4．Positive Real Values of s22

2-5．Complex Numbers22

2-6．Imaginary Values of s27

2-7．Complex Values of s35

2-8．Zero Value of s39

2-9．Integrals and Derivatives of the Unit Step Function40

2-10．The s Plane49

Problems52

Chapter 3．Models for Mechanical Systems65

3-1．The Nature of Analysis65

3-2．Mechanical System Models67

3-3．The Ideal Mass Element67

3-4．The Ideal Spring Element69

3-5．The Ideal Damper Element72

3-6．Summary：Ideal Elements75

3-7．Nature of Linear Models75

3-8．Energy,Work,and Power80

3-9．Ideal Source Elements83

3-10．Through and Across Variables86

3-11．Construction of the Circuit Diagram89

3-12．Derivation of the Circuit Equations95

3-13．Rotational Systems99

3-14．Combined Systems110

3-15．Units115

3-16．Concluding Comments118

Problems121

Chapter 4．Electrical Systems135

4-1．Elements of an Electric Circuit135

4-2．Gravitational Phenomena141

4-3．Electrostatic Phenomena150

4-4．Magnetic Phenomena160

4-5．Electrical Energy Dissipation170

4-6．Node Equations for Electric Circuits171

4-7．Loop Equations178

4-8．Practical Sources181

4-9．Summary186

Problems192

Appendix 4-1．Examples of Node Equations201

Appendix 4-2．The Cathode-ray Tube206

Chapter 5．The Response of Simple Electric Circuits216

5-1．Characteristics of Electrical Networks216

5-2．The Nature of the Circuit Equations220

5-3．The Dynamics of Undriven Systems228

5-4．Unit-impulse Excitation237

5-5．Response to Exponential Excitation242

5-6．Network Interpretation of Driving Signals247

5-7．Some Special Cases251

5-8．Further Relations between Transfer Functions and Time Responses253

5-9．Initial Conditions Represented by Equivalent Sources257

Problems269

Appendix 5-1．Solution of Simultancous Algebraic Equations279

Appendix 5-2．Partial-fraction Expansions280

Chapter 6．The Transfer Function285

6-1．The Forced Component of the Response285

6-2．Calculation of T(s)287

6-3．Sinusoidal Excitation292

6-4．Pole and Zero Constellations295

6-5．Stability297

6-6．Sinusoidal Frequency Response298

6-7．Geometry of the s Plane303

6-8．Exploiting s-plane Geometry312

6-9．Resonance Phenomena320

6-10．Quality Factor324

6-11．Specific Resonant Systems327

6-12．Adjustable-parameter Networks333

Problems343

Chapter 7．The Elements of Analog Simulation and Analog Computers355

7-1．Types of Automatic Computers355

7-2．A Symbolism for Analog Simulation359

7-3．The Essence of Analog Simulation362

7-4．Signal-flow Graphs—A Shorthand Analog Symbolism365

7-5．Systematic Graphing Techniques369

7-6．Graphing Differential Equations372

7-7．Electronic Analog Computers379

7-8．The Algebra of Signal-flow Graphs397

Problems409

Chapter 8．Summary Illustrative Example422

8-1．Introduction422

8-2．Statement of the Problem422

8-3．Steps in Analysis423

8-4．Signal Approximation424

8-5．Formulation of Dynamie Equations425

8-6．Determination of the Transfer Function427

8-7．Response to Step of Amplitude 5428

8-8．Response to the Square Pulse431

8-9．Response to the Sinusoidal Pulse433

8-10．Comparison of the Two Responses437

8-11．Simulation Techniques437

8-12．Analog-computer Simulation439

8-13．Concluding Remarks445