Preface |
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xiii | |
Abbreviations |
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xvi | |
Introduction |
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1 | (4) |
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Part I Scattering Parameters |
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5 | (2) |
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1 Network Parameter Models |
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7 | (1) |
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1.1 The Concept of Network Parameter Models |
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7 | (9) |
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1.2 Network Parameter Models of Circuit Elements and Circuit Models |
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16 | (5) |
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1.3 Network Parameter Conversions |
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21 | (4) |
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25 | (1) |
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26 | (2) |
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1.6 Network Parameter Summary |
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28 | (1) |
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29 | (1) |
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2.1 Wave Relationships to Voltage and Current |
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29 | (2) |
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2.2 Wave Definition Requirements |
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31 | (3) |
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2.3 Power and the Normalization Factor |
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34 | (3) |
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37 | (1) |
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38 | (3) |
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41 | (1) |
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3.1 S-Parameter Definition |
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41 | (1) |
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3.2 Method of Determining S-Parameters of Circuits |
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42 | (4) |
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3.3 Example S-Parameter Circuit Calculations |
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46 | (9) |
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3.4 S-Parameter Conversions |
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55 | (7) |
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3.5 Power Wave Based S-Parameters |
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62 | (3) |
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65 | (4) |
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69 | (1) |
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3.8 Inverse and Identity Sections |
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69 | (1) |
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3.9 De-embedding S-Parameters |
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70 | (1) |
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3.10 Network Parameters of Common Elements |
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71 | (2) |
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3.11 Advanced Cascade Parameters -- Multi-Port T-Parameters |
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73 | (4) |
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3.12 S-Parameter File Format |
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77 | (5) |
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4 S-Parameter System Models |
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82 | (1) |
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4.1 Interconnection of S-Parameter Networks |
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83 | (4) |
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4.2 Signal-Flow Diagram Representation of Systems |
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87 | (11) |
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4.3 S-Parameters of Systems |
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98 | (5) |
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4.4 Block Matrix Solution of S-Parameter Systems |
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103 | (6) |
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4.5 System Reduction Through Node Removal |
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109 | (13) |
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4.6 Node Removal Using Graphical Equation Methods |
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122 | (4) |
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126 | (7) |
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133 | (1) |
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134 | (1) |
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5.1 Basic Reference Impedance Transformation |
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134 | (2) |
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5.2 The Reference Impedance Transformer |
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136 | (5) |
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5.3 Reference Impedance Transformers in Wave Measurements |
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141 | (5) |
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5.4 Reference Impedance Transformation Using Transformers |
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146 | (6) |
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152 | (1) |
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152 | (4) |
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156 | (3) |
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159 | (3) |
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162 | (14) |
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176 | (1) |
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176 | (2) |
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178 | (1) |
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7.1 The Transmission Line Model |
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178 | (13) |
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7.2 Simulation Example of Single-Ended Transmission Line |
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191 | (3) |
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7.3 Differential Signaling |
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194 | (6) |
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7.4 Differential Transmission Lines |
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200 | (9) |
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7.5 Mixed-Mode Terminations |
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209 | (6) |
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215 | (2) |
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217 | (1) |
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218 | (7) |
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8.2 System Description Example |
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225 | (3) |
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228 | (12) |
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8.4 The System Description Parser |
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240 | (5) |
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245 | (11) |
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256 | (3) |
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8.7 Summary of Python Code Arrangement |
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259 | (1) |
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260 | (1) |
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260 | (4) |
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264 | (2) |
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9.3 Symbolic Simulation Solutions |
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266 | (1) |
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9.4 The SimulatorParser Class |
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266 | (5) |
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271 | (11) |
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282 | (1) |
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10.1 One-Port De-embedding |
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283 | (1) |
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10.2 Two-Port De-embedding |
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284 | (3) |
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10.3 Fixture De-embedding |
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287 | (2) |
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10.4 Two-Port Tip De-embedding |
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289 | (1) |
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10.5 Extensions to the Fixture De-embedding Problem |
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290 | (12) |
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10.6 The Deembedder Class |
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302 | (2) |
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10.7 Symbolic De-embedding Solutions |
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304 | (6) |
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10.8 The DeembedderParser Class |
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310 | (2) |
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10.9 Numeric De-embedding Solutions |
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312 | (2) |
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10.10 Numeric De-embedding Example |
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314 | (5) |
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319 | (1) |
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11.1 A Simple Case of Virtual Probing |
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319 | (4) |
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11.2 A Multiple Input and Output Example |
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323 | (4) |
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11.3 A Degree of Freedom Example |
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327 | (2) |
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11.4 The Virtual Probe General Case Equations |
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329 | (2) |
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11.5 Virtually Probing a Virtual Circuit |
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331 | (3) |
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11.6 Programmatic Methods |
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334 | (10) |
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11.7 Virtual Probing Numeric Example |
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344 | (11) |
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Part III Signal Processing and Measurement |
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355 | (2) |
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12 Frequency Responses, Impulse Responses, and Convolution |
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357 | (1) |
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12.1 Discrete-Time Waveforms |
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358 | (6) |
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12.2 Discrete-Frequency Responses |
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364 | (4) |
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12.3 The Discrete Fourier Transform |
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368 | (16) |
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12.4 Frequency Responses and Impulse Responses |
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384 | (11) |
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395 | (9) |
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404 | (1) |
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13.1 Convolution and Time |
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404 | (10) |
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13.2 Upsampling and Interpolation |
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414 | (9) |
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13.3 Fractional Delay Filters |
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423 | (6) |
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429 | (7) |
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13.5 Transfer Matrices Processing |
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436 | (4) |
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440 | (1) |
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14.1 Impedance and Time-Domain Reflectometry |
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440 | (3) |
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14.2 Impedance Profile Approximation with the Step Response |
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443 | (2) |
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14.3 Impedance Profile Approximation from S-Parameters |
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445 | (3) |
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14.4 Impedance Profile Calculation Using Peeling |
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448 | (2) |
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14.5 Python Impedance Profile Software |
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450 | (6) |
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14.6 Problems with the Impedance Profile |
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456 | (1) |
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457 | (1) |
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15.1 The Twelve-Term Error Model |
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459 | (3) |
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462 | (12) |
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15.3 Calculation of the Device Under Test |
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474 | (1) |
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15.4 Calibration and Measurement Summary |
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475 | (4) |
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15.5 Calibration Standards |
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479 | (6) |
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15.6 Time-Domain Reflectometry |
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485 | (13) |
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15.7 S-Parameter Checking and Conditioning |
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498 | (14) |
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512 | (1) |
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513 | (4) |
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517 | (4) |
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16.3 The Levenberg-Marquardt Algorithm |
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521 | (1) |
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521 | (3) |
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16.5 Transmission Line Model Fitting |
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524 | (9) |
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533 | (4) |
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17 Signallntegrity. Lib Package |
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537 | (1) |
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17.1 Package Organization |
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537 | (4) |
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17.2 Universal Modeling Language Diagrams |
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541 | (1) |
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17.3 Signallntegrity Applications |
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542 | (15) |
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557 | (4) |
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561 | (1) |
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562 | (1) |
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562 | (3) |
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18.2 SignallntegrityAppHeadless Application Programming Interface |
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565 | (1) |
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18.3 Calculation Properties |
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566 | (2) |
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18.4 S-Parameter Viewing and Transfer Matrices |
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568 | (2) |
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18.5 SignallntegrityApp Equalization Example |
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570 | (20) |
Afterword |
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590 | (2) |
Appendix A Terminology and Conventions |
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592 | (3) |
Appendix B Telegrapher's Equations |
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595 | (3) |
Appendix C Matrix Algebra |
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598 | (10) |
Appendix D Symbolic Device Solutions |
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608 | (23) |
References |
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631 | (5) |
Index |
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636 | |