Signals and Systems for Dummies - Mark Wickert

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Résumé :

Introduction 1

About This Book 1

Conventions Used in This Book 1

What You're Not to Read 2

Foolish Assumptions 2

How This Book Is Organized 2

Part I: Getting Started with Signals and Systems 3

Part II: Exploring the Time Domain 3

Part III: Picking Up the Frequency Domain 3

Part IV: Entering the s- and z-Domains 3

Part V: The Part of Tens 4

Icons Used in This Book 4

Where to Go from Here 4

Part I: Getting Started with Signals and Systems 7

Chapter 1: Introducing Signals and Systems 9

Applying Mathematics 10

Getting Mixed Signals and Systems 11

Going on and on and on 11

Working in spurts: Discrete-time signals and systems 13

Classifying Signals 14

Periodic 14

Aperiodic 15

Random 15

Signals and Systems in Other Domains 16

Viewing signals in the frequency domain 16

Traveling to the s- or z-domain and back 18

Testing Product Concepts with Behavioral Level Modeling 18

Staying abstract to generate ideas 19

Working from the top down 19

Relying on mathematics 20

Exploring Familiar Signals and Systems 20

MP3 music player 21

Smartphone 22

Automobile cruise control 22

Using Computer Tools for Modeling and Simulation 23

Getting the software 24

Exploring the interfaces 25

Seeing the Big Picture 26

Chapter 2: Brushing Up on Math 29

Revealing Unknowns with Algebra 29

Solving for two variables 30

Checking solutions with computer tools 30

Exploring partial fraction expansion 31

Making Nice Signal Models with Trig Functions 35

Manipulating Numbers: Essential Complex Arithmetic 36

Believing in imaginary numbers 37

Operating with the basics 39

Applying Euler's identities 41

Applying the phasor addition formula 42

Catching Up with Calculus 44

Differentiation 44

Integration 45

System performance 47

Geometric series 48

Finding Polynomial Roots 50

Chapter 3: Continuous-Time Signals and Systems 51

Considering Signal Types 52

Exponential and sinusoidal signals 52

Singularity and other special signal types 55

Getting Hip to Signal Classifications 60

Deterministic and random 60

Periodic and aperiodic 62

Considering power and energy 63

Even and odd signals 68

Transforming Simple Signals 69

Time shifting 69

Flipping the time axis 70

Putting it together: Shift and flip 70

Superimposing signals 71

Checking Out System Properties 72

Linear and nonlinear 73

Time-invariant and time varying 73

Causal and non-causal 74

Memory and memoryless 74

Bounded-input bounded-output 75

Choosing Linear and Time-Invariant Systems 75

Chapter 4: Discrete-Time Signals and Systems 77

Exploring Signal Types 77

Exponential and sinusoidal signals 78

Special signals 80

Surveying Signal Classifications in the Discrete-Time World 83

Deterministic and random signals 84

Periodic and aperiodic 85

Recognizing energy and power signals 88

Computer Processing: Capturing Real Signals in Discrete-Time 89

Capturing and reading a wav file 90

Finding the signal energy 91

Classifying Systems in Discrete-Time 92

Checking linearity 92

Investigating time invariance 93

Looking into causality 93

Figuring out memory 94

Testing for BIBO stability 95

Part II: Exploring the Time Domain 97

Chapter 5: Continuous-Time LTI S...