Analog Signals and Systems, Coursesmart eTextbook

Published Date: Mar 3, 2008

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Description

For courses in Signals and Systems offered in departments of Electrical Engineering.

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

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Analog Signals and Systems, Coursesmart eTextbook
Format: Safari Book

\$81.99 | ISBN-13: 978-0-13-607183-9