| Preface |
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ix | |
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1 | (43) |
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1 | (10) |
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11 | (10) |
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21 | (3) |
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24 | (7) |
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31 | (6) |
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37 | (7) |
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37 | (7) |
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Time-Domain Models of Systems |
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44 | (52) |
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Input/Output Representation of Discrete-Time Systems |
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44 | (5) |
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Convolution of Discrete-Time Signals |
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49 | (6) |
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Difference Equation Models |
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55 | (9) |
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Differential Equation Models |
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64 | (5) |
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Solution of Differential Equations |
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69 | (6) |
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Convolution Representation of Continuous-Time Systems |
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75 | (9) |
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84 | (12) |
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85 | (11) |
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The Fourier Series and Fourier Transform |
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96 | (70) |
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Representation of Signals in Terms of Frequency Components |
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96 | (5) |
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Trigonometric Fourier Series |
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101 | (7) |
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Complex Exponential Series |
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108 | (6) |
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114 | (8) |
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Spectral Content of Common Signals |
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122 | (4) |
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Properties of the Fourier Transform |
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126 | (15) |
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Generalized Fourier Transform |
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141 | (3) |
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Application to Signal Modulation and Demodulation |
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144 | (8) |
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152 | (14) |
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154 | (12) |
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Fourier Analysis of Discrete-Time Signals |
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166 | (56) |
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Discrete-Time Fourier Transform |
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166 | (13) |
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Discrete Fourier Transform |
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179 | (9) |
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188 | (7) |
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195 | (11) |
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Application to Data Analysis |
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206 | (10) |
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216 | (6) |
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217 | (5) |
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Fourier Analysis of Systems |
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222 | (57) |
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Fourier Analysis of Continuous-Time Systems |
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222 | (6) |
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Response to Periodic and Nonperiodic Inputs |
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228 | (9) |
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Analysis of Ideal Filters |
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237 | (5) |
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242 | (7) |
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Fourier Analysis of Discrete-Time Systems |
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249 | (5) |
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Application to Lowpass Digital Filtering |
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254 | (8) |
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262 | (17) |
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263 | (16) |
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The Laplace Transform and the Transfer Function Representation |
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279 | (73) |
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Laplace Transform of a Signal |
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279 | (6) |
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Properties of the Laplace Transform |
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285 | (11) |
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Computation of the Inverse Laplace Transform |
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296 | (20) |
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Transform of the Input/Output Differential Equation |
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316 | (7) |
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Transform of the Input/Output Convolution Integral |
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323 | (7) |
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Direct Construction of the Transfer Function |
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330 | (11) |
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341 | (11) |
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342 | (10) |
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The z-Transform and Discrete-Time Systems |
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352 | (59) |
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z-Transform of a Discrete-Time Signal |
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352 | (5) |
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Properties of the z-Transform |
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357 | (10) |
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Computation of the Inverse z-Transform |
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367 | (10) |
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Transfer Function Representation |
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377 | (11) |
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System Analysis Using the Transfer Function Representation |
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388 | (12) |
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400 | (11) |
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401 | (10) |
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Analysis of Continuous-Time Systems by Use of the Transfer Function Representation |
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411 | (78) |
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Stability and the Impulse Response |
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411 | (3) |
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Routh-Hurwitz Stability Test |
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414 | (5) |
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Analysis of the Step Response |
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419 | (18) |
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Response to Sinusoids and Arbitrary Inputs |
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437 | (6) |
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Frequency Response Function |
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443 | (20) |
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463 | (15) |
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478 | (11) |
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479 | (10) |
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489 | (47) |
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489 | (8) |
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497 | (11) |
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508 | (8) |
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Application to Control System Design |
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516 | (9) |
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525 | (11) |
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526 | (10) |
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Design of Digital Filters and Controllers |
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536 | (48) |
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536 | (7) |
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543 | (6) |
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Design of IIR Filters Using MATLAB |
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549 | (7) |
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556 | (12) |
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Design of Digital Controllers |
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568 | (9) |
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577 | (7) |
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578 | (6) |
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584 | (49) |
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584 | (3) |
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Construction of State Models |
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587 | (8) |
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Solution of State Equations |
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595 | (9) |
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604 | (8) |
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Equivalent State Representations |
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612 | (6) |
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Discretization of State Model |
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618 | (4) |
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622 | (11) |
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623 | (10) |
| Appendix A Brief Review of Complex Variables |
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633 | (5) |
| Appendix B Brief Review of Matrices |
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638 | (6) |
| Bibliography |
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644 | (1) |
| Index |
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645 | |