Preface |
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xiii | |
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Dynamic Equations and Their Solutions for Simple Circuits |
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1 | (1) |
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Constitutive Relations for Elements |
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1 | (5) |
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Interconnection Constraints: Kirchhoff's Laws |
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6 | (1) |
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Dynamic Equations in Node and State Form |
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7 | (6) |
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13 | (3) |
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Solutions of the Dynamic Equations |
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16 | (1) |
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Solutions of the Dynamic Equations When the Inputs Are Zero |
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16 | (3) |
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Solutions of the Dynamic Equations for Exponential Inputs |
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19 | (6) |
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25 | (18) |
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26 | (5) |
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31 | (12) |
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The Unilateral Laplace Transform |
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43 | (1) |
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The Unilateral Laplace Transform |
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44 | (1) |
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Examples of L-Transforms and Theorems |
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45 | (4) |
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The Inverse Laplace Transform |
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49 | (3) |
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52 | (2) |
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Circuit Analysis with the Laplace Transform |
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54 | (7) |
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61 | (11) |
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Appendix: Short Table of Unilateral Laplace Transforms |
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62 | (1) |
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63 | (2) |
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65 | (7) |
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72 | (1) |
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A Superposition Formula for LTI Circuits |
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72 | (2) |
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74 | (3) |
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System Functions as the Response Amplitudes to Exponential Drives |
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77 | (2) |
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System Functions and the Input-Output Differential Equation |
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79 | (3) |
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82 | (23) |
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Appendix: System Function Characterization of LTI 2-ports |
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84 | (3) |
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87 | (2) |
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89 | (16) |
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105 | (1) |
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105 | (4) |
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Vectorial Interpretation of H(jw) |
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109 | (5) |
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114 | (2) |
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116 | (4) |
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120 | (19) |
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121 | (5) |
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126 | (13) |
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Interconnected Systems and Feedback |
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139 | (2) |
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Elementary System Interconnections; Effects of Loading |
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141 | (3) |
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144 | (2) |
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Examples of the Effects of Negative Feedback |
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146 | (12) |
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158 | (5) |
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159 | (1) |
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160 | (3) |
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The Dynamics of Feedback Systems |
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163 | (1) |
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163 | (3) |
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Feedback Effects on Bandwidth and Response Time |
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166 | (6) |
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172 | (5) |
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Feedback Stabilization of Unstable Systems |
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177 | (6) |
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183 | (24) |
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Appendix: The Nyquist Stability Criterion |
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184 | (8) |
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192 | (3) |
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195 | (12) |
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Discrete-time Signals and Linear Difference Equations |
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207 | (2) |
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Linear Difference Equations |
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209 | (3) |
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Block Diagrams and State Formulations for DT Systems |
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212 | (7) |
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Direct Solution of Linear Difference Equations |
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219 | (3) |
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222 | (2) |
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224 | (7) |
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225 | (1) |
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226 | (5) |
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The Unilateral Z-Transform and Its Applications |
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231 | (1) |
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231 | (8) |
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The Z-Transform Applied to LTI Discrete-Time Systems |
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239 | (2) |
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Frequency-Domain Representations of Discrete-Time Systems |
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241 | (8) |
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249 | (11) |
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Appendix: Short Table of Unilateral Z-Transforms |
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250 | (1) |
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251 | (1) |
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252 | (8) |
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The Unit Sample Response and Discrete-Time Convolution |
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260 | (1) |
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The Convolution Theorem for Z-Transforms |
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261 | (6) |
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Convolution and General Linear Time-Invariant Systems |
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267 | (5) |
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Algebraic Properties of the General Convolution Operation |
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272 | (2) |
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An Example of Deconvolution |
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274 | (4) |
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278 | (8) |
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280 | (1) |
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281 | (5) |
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Convolutional Representations of Continous-Time Systems |
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286 | (1) |
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The L-Transform Convolution Theorem |
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287 | (4) |
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Convolution and General LTI Systems |
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291 | (7) |
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298 | (5) |
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303 | (11) |
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304 | (1) |
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305 | (9) |
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Impulses and the Superposition Integral |
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314 | (1) |
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The Smoothing Effect of Physical Systems |
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314 | (4) |
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Impulses and Their Fundamental Properties |
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318 | (5) |
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General LTI Systems; The Superposition Integral |
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323 | (12) |
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Impulses and Sudden Changes in Initial State |
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335 | (3) |
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Doublets and Other Generalized Functions; Impulse Matching |
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338 | (6) |
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344 | (20) |
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345 | (4) |
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349 | (15) |
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Frequency-Domain Methods for General LTI Systems |
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364 | (2) |
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Strips of Convergence for H(s) |
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366 | (1) |
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367 | (2) |
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A Special Case-Fourier Series |
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369 | (3) |
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Other Forms of Fourier Series; Spectra |
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372 | (8) |
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Averages of Periodic Functions; Parseval's Theorem |
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380 | (3) |
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383 | (10) |
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385 | (1) |
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386 | (7) |
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Fourier Transforms and Fourier's Theorem |
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393 | (1) |
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Extension of the Fourier Series to the Fourier Integral |
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394 | (8) |
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More Careful Statements of Fourier's Theorem |
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402 | (2) |
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Further Examples of Fourier's Theorem; Singularity Functions |
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404 | (5) |
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The Convolution Property of Fourier Transforms |
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409 | (4) |
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413 | (16) |
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Appendix A: Tables of Fourier Transforms and Their Properties |
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414 | (3) |
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Appendix B: The Bilateral Laplace Transform |
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417 | (2) |
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419 | (1) |
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420 | (9) |
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Sampling in Time and Frequency |
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429 | (1) |
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The Periodic Impulse Train |
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429 | (2) |
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Fourier Transforms of Periodic Functions; Fourier Series Revisited |
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431 | (392) |
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435 | (4) |
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439 | (3) |
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The Discrete-Time Fourier Transform |
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442 | (3) |
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445 | (26) |
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Appendix: Vector-Space Representations of Signals |
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446 | (9) |
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455 | (2) |
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457 | (14) |
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471 | (1) |
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472 | (3) |
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Causality Conditions and Hilbert Transforms |
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475 | (5) |
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The Ideal Filter Step Response and Gibbs' Phenomenon |
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480 | (3) |
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483 | (5) |
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484 | (1) |
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485 | (3) |
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Duration-Bandwith Relationships and the Uncertainty Principle |
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488 | (1) |
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Definitions of Delay, Rise Time, Duration, and Bandwidth |
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488 | (9) |
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The Significance of the Uncertainty Principle; Pulse Resolution |
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497 | (5) |
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502 | (5) |
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503 | (1) |
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504 | (3) |
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Bandpass Operations and Analog Communication Systems |
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507 | (1) |
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508 | (12) |
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Mixers and Superheterodyne Receivers |
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520 | (3) |
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Single-Side-Band Modulation; General Narrowband Representations |
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523 | (7) |
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Phase and Frequency Modulation |
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530 | (8) |
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538 | (20) |
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539 | (2) |
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541 | (17) |
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Fourier Transforms in Discrete-Time Systems |
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558 | (2) |
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Properties of the Discrete-Time Fourier Transform |
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560 | (6) |
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566 | (7) |
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The DT Fourier Series and the Discrete Fourier Transform |
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573 | (4) |
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Properties of the DT Fourier Series and the DFT |
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577 | (2) |
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579 | (16) |
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Appendix-Short Table of Discrete-Time Fourier Transforms |
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581 | (1) |
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582 | (2) |
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584 | (11) |
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Averages and Random Signals |
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595 | (2) |
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Averages of Periodic Functions |
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597 | (7) |
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Properties of Infinite-Time Averages |
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604 | (4) |
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Probabilistic Models of Simple Random Processes |
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608 | (10) |
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618 | (9) |
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620 | (7) |
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Modern Communication Systems |
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627 | (1) |
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628 | (4) |
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632 | (2) |
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634 | (7) |
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Pulse-Amplitude Modulation (PAM) |
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634 | (3) |
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Pulse-Code Modulation (PCM) |
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637 | (2) |
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Pulse-Position Modulation (PPM) |
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639 | (2) |
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641 | (1) |
Epilogue |
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642 | (1) |
Index |
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643 | |