Chapter 1．The Language of Signals and Systems 1
1-1．The Cause-and-effect Pattern 1
1-2．A Radio Broadcast System 2
1-3．Automatic Systems 5
1-4．A System to Stabilize a Ship 7
1-5．Signals and Systems 11
Problems 12
Chapter 2．Signals 13
2-1．Signals：Physical and Analytical 13
2-2．Exponential Signals 15
2-3．Negative Real Values of s 16
2-4．Positive Real Values of s 22
2-5．Complex Numbers 22
2-6．Imaginary Values of s 27
2-7．Complex Values of s 35
2-8．Zero Value of s 39
2-9．Integrals and Derivatives of the Unit Step Function 40
2-10．The s Plane 49
Problems 52
Chapter 3．Models for Mechanical Systems 65
3-1．The Nature of Analysis 65
3-2．Mechanical System Models 67
3-3．The Ideal Mass Element 67
3-4．The Ideal Spring Element 69
3-5．The Ideal Damper Element 72
3-6．Summary：Ideal Elements 75
3-7．Nature of Linear Models 75
3-8．Energy,Work,and Power 80
3-9．Ideal Source Elements 83
3-10．Through and Across Variables 86
3-11．Construction of the Circuit Diagram 89
3-12．Derivation of the Circuit Equations 95
3-13．Rotational Systems 99
3-14．Combined Systems 110
3-15．Units 115
3-16．Concluding Comments 118
Problems 121
Chapter 4．Electrical Systems 135
4-1．Elements of an Electric Circuit 135
4-2．Gravitational Phenomena 141
4-3．Electrostatic Phenomena 150
4-4．Magnetic Phenomena 160
4-5．Electrical Energy Dissipation 170
4-6．Node Equations for Electric Circuits 171
4-7．Loop Equations 178
4-8．Practical Sources 181
4-9．Summary 186
Problems 192
Appendix 4-1．Examples of Node Equations 201
Appendix 4-2．The Cathode-ray Tube 206
Chapter 5．The Response of Simple Electric Circuits 216
5-1．Characteristics of Electrical Networks 216
5-2．The Nature of the Circuit Equations 220
5-3．The Dynamics of Undriven Systems 228
5-4．Unit-impulse Excitation 237
5-5．Response to Exponential Excitation 242
5-6．Network Interpretation of Driving Signals 247
5-7．Some Special Cases 251
5-8．Further Relations between Transfer Functions and Time Responses 253
5-9．Initial Conditions Represented by Equivalent Sources 257
Problems 269
Appendix 5-1．Solution of Simultancous Algebraic Equations 279
Appendix 5-2．Partial-fraction Expansions 280
Chapter 6．The Transfer Function 285
6-1．The Forced Component of the Response 285
6-2．Calculation of T(s) 287
6-3．Sinusoidal Excitation 292
6-4．Pole and Zero Constellations 295
6-5．Stability 297
6-6．Sinusoidal Frequency Response 298
6-7．Geometry of the s Plane 303
6-8．Exploiting s-plane Geometry 312
6-9．Resonance Phenomena 320
6-10．Quality Factor 324
6-11．Specific Resonant Systems 327
6-12．Adjustable-parameter Networks 333
Problems 343
Chapter 7．The Elements of Analog Simulation and Analog Computers 355
7-1．Types of Automatic Computers 355
7-2．A Symbolism for Analog Simulation 359
7-3．The Essence of Analog Simulation 362
7-4．Signal-flow Graphs—A Shorthand Analog Symbolism 365
7-5．Systematic Graphing Techniques 369
7-6．Graphing Differential Equations 372
7-7．Electronic Analog Computers 379
7-8．The Algebra of Signal-flow Graphs 397
Problems 409
Chapter 8．Summary Illustrative Example 422
8-1．Introduction 422
8-2．Statement of the Problem 422
8-3．Steps in Analysis 423
8-4．Signal Approximation 424
8-5．Formulation of Dynamie Equations 425
8-6．Determination of the Transfer Function 427
8-7．Response to Step of Amplitude 5 428
8-8．Response to the Square Pulse 431
8-9．Response to the Sinusoidal Pulse 433
8-10．Comparison of the Two Responses 437
8-11．Simulation Techniques 437
8-12．Analog-computer Simulation 439
8-13．Concluding Remarks 445