Analog Signals and Systems by Erhan Kudeki (University of Illinois at Urbana-Champaign) and David C. Munson, Jr. (University of Michigan, Ann Arbor) offers a thorough presentation of analog circuit, signal and system analysis techniques by two highly respected authors. This book has been classroom tested for eight years in a sophomore-level course that covers all of the essentials of both circuit analysis and analog signals and systems, leading directly to a junior/senior-level course on digital signal processing. This approach saves time in the curriculum and relates the abstract signals and systems material to circuits used for signal processing. The book is equally useful for a course that follows directly onto a freshman/sophomore course based on
Signal Processing First, James H. McClellan, Ronald Schafer, and Mark Yoder, or that follows a standard course on circuit analysis. The pedagogy adopted uses a “just in time” approach in the discussion of:
• Electrical circuit fundamentals
• Analysis techniques of linear circuits
• Linear systems concepts applicable to circuits and signal processors
• Frequency domain techniques in circuit and system analysis
• Fourier series and transforms with circuit and system applications
• Analysis and design of AM radio receiver using Fourier tools
• Time-domain description of analog signal processing
• Sampling and reconstruction
• System stability and implications
• Laplace transform with applications in circuit initial value problems
• Elements of analog filter design
A suggested set of lab experiments include measurement and/or design projects related to major concepts covered in the classroom – the labs provide students a taste of how signal and system theory applies in practice.
This book focuses on the mathematical analysis and design of analog signal processing using a “just in time” approach — new ideas and topics relevant to the narrative are introduced only when needed, and no chapters are “stand alone.” Topics are developed throughout the narrative, and individual ideas appear frequently as needed.
Chapter 0 Analog Signals and Systems– The Scope and Study Plan 1
Chapter 1 Circuit Fundamentals 6
1.1 Voltage, Current, and Power 7
1.2 Kirchhoff’s Voltage and Current Laws: KVL and KCL 15
1.3 Ideal Circuit Elements and Simple Circuit Analysis
Examples 17
1.4 Complex Numbers 26
Exercises 26
Chapter 2 Analysis of Linear Resistive Circuits 31
2.1 Resistor Combinations and Source Transformations 31
2.2 Node-Voltage Method 38
2.3 Loop-Current Method 43
2.4 Linearity, Superposition, and Thevenin and Norton
Equivalents 48
2.5 Available Power and Maximum Power Transfer 60
Exercises 63
Chapter 3 Circuits for Signal Processing 68
3.1 Operational Amplifiers and Signal Arithmetic 68
3.2 Differentiators and Integrators 80
3.3 Linearity, Time Invariance, and LTI Systems 87
3.4 First-Order RC and RL Circuits 93
3.5 nth-Order LTI Systems 111
Exercises 115
Chapter 4 Phasors and Sinusoidal Steady State 121
4.1 Phasors, Co-Sinusoids, and Impedance 122
4.2 Sinusoidal Steady-State Analysis 136
4.3 Average and Available Power 143
4.4 Resonance 150
Exercises 154
Chapter 5 Frequency Response H(ω) of LTI Systems 158
5.1 The Frequency Response H(ω) of LTI Systems 159
5.2 Properties of Frequency Response H(ω) of LTI Circuits 164
5.3 LTI System Response to Co-Sinusoidal Inputs 166
5.4 LTI System Response to Multifrequency Inputs 176
5.5 Resonant and Non-Dissipative Systems 181
Exercises 182
Chapter 6 Fourier Series and LTI System Response to Periodic
Signals 185
6.1 Periodic Signals 186
6.2 Fourier Series 189
6.3 System Response to Periodic Inputs 208
Exercises 218
Chapter 7 Fourier Transform and LTI System Response to Energy
Signals 223
7.1 Fourier Transform Pairs f (t) ↔ F(ω) and Their
Properties 226
7.2 Frequency-Domain Description of Signals 240
7.3 LTI Circuit and System Response to Energy Signals 247
Exercises 255
Chapter 8 Modulation and AM Radio 259
8.1 Fourier Transform Shift and Modulation Properties 260
8.2 Coherent Demodulation of AM Signals 265
8.3 Envelope Detection of AM Signals 267
8.4 Superheterodyne AM Receivers with Envelope
Detection 273
Exercises 278
Chapter 9 Convolution, Impulse, Sampling, and Reconstruction 281
9.1 Convolution 282
9.2 Impulse δ(t) 301
9.3 Fourier Transform of Distributions and Power Signals 314
9.4 Sampling and Analog Signal Reconstruction 325
9.5 Other Uses of the Impulse 332
Exercises 333
Chapter 10 Impulse Response, Stability, Causality, and LTIC
Systems 337
10.1 Impulse Response h(t) and Zero-State Response
y(t) = h(t) ∗ f (t) 338
10.2 BIBO Stability 346
10.3 Causality and LTIC Systems 351
10.4 Usefulness of Noncausal System Models 357
10.5 Delay Lines 357
Exercises 359
Chapter 11 Laplace Transform, Transfer Function, and LTIC System
Response 361
11.1 Laplace Transform and its Properties 363
11.2 Inverse Laplace Transform and PFE 381
11.3 s-Domain Circuit Analysis 389
11.4 General Response of LTIC Circuits and Systems 396
11.5 LTIC System Combinations 412
Exercises 419
Chapter 12 Analog Filters and Low-Pass Filter Design 426
12.1 Ideal Filters: Distortionless and Nondispersive 427
12.2 1st- and 2nd-Order Filters 430
12.3 Low-Pass Butterworth Filter Design 437
Exercises 447
Appendix A Complex Numbers and Functions 450
A.1 Complex Numbers as Real Number Pairs 450
A.2 Rectangular Form 452
A.3 Complex Plane, Polar and Exponential Forms 454
A.4 More on Complex Conjugate 461
A.5 Euler’s Identity 463
A.6 Complex-Valued Functions 465
A.7 Functions of Complex Variables 468
Appendix B Labs 471
Lab 1: RC-Circuits 472
Lab 2: Op-Amps 481
Lab 3: Frequency Response and Fourier Series 488
Lab 4: Fourier Transform and AM Radio 493
Lab 5: Sampling, Reconstruction, and Software Radio 499
Appendix C Further Reading 507
INDEX 509