Preface. xxi Pedagogy .xxi Organization.xxiv Chapter 1. Practical MATLAB with Signals Theory . xxiv Chapter 2. Introduction to Signals and Systems .xxv Chapter 3.
Classi_cation of Signals .xxv Chapter 4. Linear Systems .xxv Chapter 5. The Fourier Series .xxv Chapter 6. The Fourier Transform .xxvi Chapter 7.
Practical Fourier Transforms .xxvi Chapter 8. The Laplace Transform .xxvi Chapter 9. Discrete Signals .xxvi Chapter 10. The z-Transform .xxvii Chapter 11.
Communications Systems. xxvii 0.1 Useful Information (inside cover / endpaper). xxviii 0.1.1 Identities . xxviii 0.1.
2 De_nite Integrals .xxviii 0.1.3 In_nite Series .xxix 0.1.4 Orthogonality .xxix 0.
1.5 Signal Inner Product .xxix 0.1.6 Convolution .xxix 0.1.7 Fourier Series .
xxix 0.1.8 Complex Fourier Series.xxx 0.1.9 Fourier Transform .xxx 0.1.
10 Laplace Transform .xxx 0.1.11 z-Transform .xxx 0.2 List of Acronyms .xxxii 0.2.
1 Communications Acronyms. xxxiii 1 Practical MATLAB with Signals Theory 1 Learning Objectives .2 1.1 Introduction .2 1.1.1 Accessing MATLAB .2 1.
1.2 Learning MATLAB .4 1.1.3 The MATLAB Desktop.4 1.1.4 Help with MATLAB .
5 1.1.5 Numeric Variables for Signals Theory .6 1.1.6 MATLAB Arrays, Matrices, Vectors .6 1.1.
7 Recording a MATLAB session .9 1.2 Visualizing Functions .9 1.2.1 Making a Rough Sketch of a Function .10 1.2.
2 Plotting a Function by Hand .10 1.2.3 Plotting a Function with MATLAB .11 1.2.4 Enhanced Plotting Functions .13 1.
3 MATLAB M-Files .14 1.3.1 Creating a MATLAB Function .15 1.3.2 Anonymous Functions .16 1.
4 Numerical Integration .17 1.4.1 Generalized Numerical Integration .19 1.5 The for loop .20 1.6 Conditional and Logical Expressions .
20 1.7 Piecewise Continuous Signals .22 1.8 Complex Numbers in MATLAB .24 1.8.1 Representation of Complex Numbers .24 1.
8.2 Euler''s Formula .25 1.8.3 The Complex Plane .26 Viewing a Function from Different Perspectives .28 1.9 Conclusions .
29 1.10 Worked Problems .30 1.11 End of Chapter Exercises .33 Bibliography .36 2 Introduction to Signals and Systems 37 Learning Objectives .37 2.1 Introduction .
38 2.1.1 What is a Signal? .39 2.1.2 What is a System? .39 2.2 Introduction to Signal Manipulation .
41 2.2.1 Amplification .42 2.2.2 Shifting .42 2.2.
3 Scaling .44 2.2.4 Linear Combination .46 2.2.5 Addition and Multiplication of Signals .4 2.
2.6 Visualizing Signals - An Important Skill .49 2.3 Basic Signals .50 2.3.1 The Unit Rectangle : rect(t) .50 2.
3.2 The Unit Step u(t) .52 2.3.3 The Exponential ekt .55 2.3.4 The Unit Impulse δ(t) .
56 2.3.5 Plotting the Impulse Aδ(t-x) .60 2.4 The Sinusoidal Signal .61 2.4.1 The One-Sided Cosine Representation.
63 2.4.2 Phase Change - .65 Phase Change vs. Time Shift .65 2.4.3 Sine vs.
Cosine .68 2.5 Conclusions .69 2.6 Worked Problems .69 2.7 End of Chapter Exercises .72 Bibliography .
76 3 Classification of Signals 79 Learning Objectives .79 3.1 Introduction .80 3.2 Odd and Even Signals .80 3.2.1 Combining Odd and Even signals .
82 3.2.2 The constant value s(t) = k .84 3.3 Periodic Signals .85 3.3.1 DC Component in Periodic Signals .
86 3.3.2 Sinusoids and Rectifiers .86 3.3.3 Square Wave .89 3.3.
4 Sawtooth Wave .89 3.3.5 Triangle wave .89 3.3.6 Pulse Train .91 3.
3.7 Rectangular Pulse Train .91 3.3.8 Impulse Train .93 3.3.9 Trigonometric Identities .
93 3.3.10 Sinusoidal Multiplication .95 Modulation Property .95 Dial Tone Generator .97 Squaring the Sinusoid .99 3.4 Energy and Power Signals .
101 3.4.1 Periodic Signals = Power Signals . 104 Vrms is not always A/â2 .105 3.4.2 Comparing Signal Power: The Decibel (dB) .105 3.
5 Complex Signals .108 3.6 Discrete Time Signals .111 3.7 Random Signals .113 3.8 Conclusions .115 3.
9 Worked Problems .115 3.10 End of Chapter Exercises .118 Bibliography .127 4 Linear Systems 129 Learning Objectives .129 4.1 Introduction .130 4.
2 Definition of a Linear System .130 4.2.1 Superposition .131 4.2.2 Example 1: Zero-State Response .132 4.
2.3 Example 2: Operating in a linear region .133 4.2.4 Example 3: Mixer .135 4.2.5 Linear Time-Invariant (LTI) Systems .
136 4.2.6 Bounded Input, Bounded Output .138