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xiv Contents Chapter 4: Chapter 7: WA V2 73 44 1S 76 Differential Equations Introduction ; Homogeneous Linear Differential Equations Nonhomogeneous Equations Step and Impulse Response Integrodifferential Equations Simultaneous Differential Equations Network Analysis: 1 Introduction Network Elements Initial and Final Conditions Step and Impulse Response Solution of Network Equations Analysis of Transformers The Laplace Transform The Philosophy of Transform Methods The Laplace Transform Properties of Laplace Transforms Uses of Laplace Transforms Partial-Fraction Expansions Poles and Zeros Evaluation of Residues The Initial and Final Value Theorems Transform Methods in Network Analysis The Transformed Circuit Thévenin’s and Norton's Theorems The System Function The Step and Impulse Responses The Convolution Integral The Duhamel Superposition Integral Wiki Engineering 100 100 103 106 Wl 114 422 134 134 135 137 144 148 ISS 162 165 175 VIS 180 187 194 197 201 5 & Chapter I: Ll 1.2 1.3 1.4 Chapter 2: Chapter 3: 3.1 3,2 Chapter 8: Chapter 9: 91 9.2 9.3 9.4 9.5 9.6 Chapter 10: 10.1 10,2 10.3 10.4 Chapter II: 111 11.2 11.3 114 11S 116 Contents Signals and Systems Signal Analysis Complex Frequency Network Analysis Network Synthesis Signals and Waveforms General Characteristics of Signals General Descriptions of Signals The Step Function and Associated Waveforms The Unit Impulse The Frequency Domain: Fourier Analysis Introduction Orthogonal Functions Approximation Using Orthogonal Functions Fourier Series Evaluation of Fourier Coefficients Evaluation of Fourier Coefficients Using Unit Impulses The Fourier Integral Properties of Fourier Transforms xiii Contents Amplitude, Phase, and Delay Amplitude and Phase Response Bode Plots Single-Tuned Circuits Doubfe-Tuned Circuits On Poles and Zeros and Time Delay Network Analysis: II ‘Network Functions Relationships Between Two-Port Parameters Transfer Functions Using Two-Port Parameters Interconnection of Two-Ports Incidental Dissipation Analysis of Ladder Networks Elements of Realizability Theory Causality and Stability Hurwitz Polynomials Positive Real Functions Elementary Synthesis Procedures Synthesis of One-Port Networks with Two Kinds of Elements Properties of Z-C Immittance Functions Synthesis of L-C Driving-Point Immittances Properties of R-C Driving-Point Impedances Synthesis of R-C Impedances or R-L Admittances Properties of R-L Impedances and R-C Admittances Syathesis of Certain R-L-C Functions i RAK 20 20 24 33 46 46 #8 50 52 58 63 o7 xv 2i2 212 22] 229 238 245 253 253 264 266 271 276 279 290 290 294 299 308 315 315 319 325 329 331 333 www. raghul.org 
