Analog Signals and Systems

Cover......Page 1
Contents......Page 8
Preface......Page 12
Chapter 0 Analog Signals and Systems—The Scope and Study Plan......Page 18
Chapter 1 Circuit Fundamentals......Page 23
 1.1 Voltage, Current, and Power......Page 24
 1.2 Kirchhoff’s Voltage and Current Laws: KVL and KCL......Page 32
 1.3 Ideal Circuit Elements and Simple Circuit Analysis Examples......Page 34
 Exercises......Page 43
 2.1 Resistor Combinations and Source Transformations......Page 48
 2.2 Node-Voltage Method......Page 55
 2.3 Loop-Current Method......Page 60
 2.4 Linearity, Superposition, and Thevenin and Norton Equivalents......Page 65
 2.5 Available Power and Maximum Power Transfer......Page 77
 Exercises......Page 80
 3.1 Operational Amplifiers and Signal Arithmetic......Page 85
 3.2 Differentiators and Integrators......Page 97
 3.3 Linearity, Time Invariance, and LTI Systems......Page 104
 3.4 First-Order RC and RL Circuits......Page 110
 3.5 nth-Order LTI Systems......Page 128
 Exercises......Page 132
Chapter 4 Phasors and Sinusoidal Steady State......Page 138
 4.1 Phasors, Co-Sinusoids, and Impedance......Page 139
 4.2 Sinusoidal Steady-State Analysis......Page 153
 4.3 Average and Available Power......Page 160
 4.4 Resonance......Page 167
 Exercises......Page 171
Chapter 5 Frequency Response H(ƒω) of LTI Systems......Page 175
 5.1 The Frequency Response H(ƒω) of LTI Systems......Page 176
 5.2 Properties of Frequency Response H(ƒω) of LTI Circuits......Page 181
 5.3 LTI System Response to Co-Sinusoidal Inputs......Page 183
 5.4 LTI System Response to Multifrequency Inputs......Page 193
 5.5 Resonant and Non-Dissipative Systems......Page 198
 Exercises......Page 199
Chapter 6 Fourier Series and LTI System Response to Periodic Signals......Page 202
 6.1 Periodic Signals......Page 203
 6.2 Fourier Series......Page 206
 6.3 System Response to Periodic Inputs......Page 225
 Exercises......Page 235
Chapter 7 Fourier Transform and LTI System Response to Energy Signals......Page 240
 7.1 Fourier Transform Pairs f (t) ↔ F(ω) and Their Properties......Page 243
 7.2 Frequency-Domain Description of Signals......Page 257
 7.3 LTI Circuit and System Response to Energy Signals......Page 264
 Exercises......Page 272
Chapter 8 Modulation and AM Radio......Page 276
 8.1 Fourier Transform Shift and Modulation Properties......Page 277
 8.2 Coherent Demodulation of AM Signals......Page 282
 8.3 Envelope Detection of AM Signals......Page 284
 8.4 Superheterodyne AM Receivers with Envelope Detection......Page 290
 Exercises......Page 295
Chapter 9 Convolution, Impulse, Sampling, and Reconstruction......Page 298
 9.1 Convolution......Page 299
 9.2 Impulse δ(t)......Page 318
 9.3 Fourier Transform of Distributions and Power Signals......Page 331
 9.4 Sampling and Analog Signal Reconstruction......Page 342
 9.5 Other Uses of the Impulse......Page 349
 Exercises......Page 350
Chapter 10 Impulse Response, Stability, Causality, and LTIC Systems......Page 354
 10.1 Impulse Response h(t) and Zero-State Response y(t) = h(t) * f(t)......Page 355
 10.2 BIBO Stability......Page 363
 10.3 Causality and LTIC Systems......Page 368
 10.5 Delay Lines......Page 374
 Exercises......Page 376
Chapter 11 Laplace Transform, Transfer Function, and LTIC System Response......Page 378
 11.1 Laplace Transform and its Properties......Page 380
 11.2 Inverse Laplace Transform and PFE......Page 398
 11.3 s-Domain Circuit Analysis......Page 406
 11.4 General Response of LTIC Circuits and Systems......Page 413
 11.5 LTIC System Combinations......Page 429
 Exercises......Page 436
Chapter 12 Analog Filters and Low-Pass Filter Design......Page 443
 12.1 Ideal Filters: Distortionless and Nondispersive......Page 444
 12.2 1st-and 2nd-Order Filters......Page 447
 12.3 Low-Pass Butterworth Filter Design......Page 454
 Exercises......Page 464
 A.1 Complex Numbers as Real Number Pairs......Page 467
 A.2 Rectangular Form......Page 469
 A.3 Complex Plane, Polar and Exponential Forms......Page 471
 A.4 More on Complex Conjugate......Page 478
 A.5 Euler’s Identity......Page 480
 A.6 Complex-Valued Functions......Page 482
 A.7 Functions of Complex Variables......Page 485
Appendix B: Labs......Page 488
 Lab 1: RC-Circuits......Page 489
 Lab 2: Op-Amps......Page 498
 Lab 3: Frequency Response and Fourier Series......Page 505
 Lab 4: Fourier Transform and AM Radio......Page 510
 Lab 5: Sampling, Reconstruction, and Software Radio......Page 516
Appendix C: Further Reading......Page 524
 D......Page 526
 L......Page 527
 S......Page 528
 Z......Page 529