| Preface |
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Fundamentals of Network Theory |
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1 | (34) |
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The Complex Frequency Variables s |
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1 | (3) |
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4 | (4) |
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8 | (7) |
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15 | (3) |
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18 | (3) |
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21 | (4) |
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25 | (4) |
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29 | (6) |
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33 | (2) |
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The Transmission and Reflection Coefficients |
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35 | (44) |
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The reflection coefficients in a one-port network |
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35 | (2) |
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37 | (3) |
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Multiport real normalized scattering parameters |
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40 | (5) |
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The scattering matrix of a two-port networks |
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45 | (5) |
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50 | (11) |
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Basis-independent reflection coefficient |
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52 | (2) |
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Factorizing of para-Hermitian matrix |
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54 | (5) |
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Complex normalization reflection coefficient of a lossless two-port network |
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59 | (2) |
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Physical interpretation of the normalized scattering parameters |
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61 | (4) |
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The normalized scattering matrix and passivity |
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65 | (2) |
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Interconnection of multiport networks |
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67 | (3) |
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The consistency of complex normalized scattering matrices |
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70 | (9) |
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77 | (2) |
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Elements of Passive Network Synthesis |
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79 | (60) |
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Synthesis of LC one-port networks |
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79 | (10) |
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The Fostor canonical forms |
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81 | (4) |
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The Cauer canonical forms |
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85 | (4) |
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Transfer function synthesis |
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89 | (11) |
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Calculation of two-port parameters from the transfer functions |
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89 | (4) |
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Ladder realization of a non-terminated or singly terminated two-port |
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93 | (2) |
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Partial pole removal and zero shifting |
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95 | (5) |
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Darlington synthesis for a double-terminated LC network |
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100 | (13) |
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100 | (3) |
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103 | (3) |
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Program for computing mid-series and mid-shunt element values |
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106 | (7) |
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113 | (26) |
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115 | (4) |
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The zero producing sections |
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119 | (1) |
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The Darlington type-C section |
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120 | (1) |
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121 | (5) |
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The Darlington type-D section |
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126 | (4) |
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The Darlington type-E section |
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130 | (2) |
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132 | (1) |
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133 | (3) |
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136 | (3) |
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Filter Approximation and Realization |
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139 | (68) |
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The low-pass Butterworth response |
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139 | (3) |
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Realization of a low-pass Butterworth filter |
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142 | (9) |
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The low-pass Chebyshev response |
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151 | (5) |
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Realization of a low-pass Chebyshev filter |
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156 | (7) |
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The low-pass elliptic response |
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163 | (13) |
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Jacobian elliptic functions |
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165 | (7) |
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The design parameters of an elliptic filter |
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172 | (4) |
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176 | (14) |
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The Bessel-Thomson response |
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190 | (17) |
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Maximally-flat delay characteristic |
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191 | (5) |
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Design of Bessel-Thomson filters |
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196 | (9) |
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205 | (2) |
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207 | (38) |
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207 | (5) |
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Gradient optimization methods |
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212 | (13) |
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212 | (5) |
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217 | (2) |
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The conjugate gradient method |
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219 | (6) |
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225 | (3) |
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Direct search optimization method |
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228 | (9) |
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228 | (1) |
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Flexible polyhedron search |
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229 | (8) |
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237 | (8) |
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237 | (4) |
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241 | (3) |
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244 | (1) |
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245 | (52) |
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Exactly transformation at a given frequency ω0 |
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245 | (15) |
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Real source and real load at a given ω0 |
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247 | (1) |
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Complex source and complex load at a given ω0 |
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248 | (6) |
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Three-element matching networks |
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254 | (4) |
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Uniform lossless transmission lines |
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258 | (2) |
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Low-pass impedance transformation networks |
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260 | (15) |
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260 | (3) |
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The Butterworth impedance transformation networks |
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263 | (2) |
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The Chebyshev impedance transformation networks |
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265 | (4) |
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269 | (1) |
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Denominator polynomial of ρ(s) |
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270 | (5) |
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Computer-aided design of low-pass impedance transformation networks |
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275 | (7) |
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The Butterworth impedance transformation networks |
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275 | (3) |
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The Chebyshev impedance transformation networks |
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278 | (2) |
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280 | (2) |
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Short-step Chebyshev impedance transformers |
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282 | (15) |
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282 | (4) |
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The transformation network |
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286 | (6) |
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292 | (4) |
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296 | (1) |
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Broadband Matching Networks |
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297 | (102) |
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Bode's gain-bandwidth limitations |
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297 | (5) |
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Youla's theory of broadband matching |
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302 | (6) |
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Preliminary consideration of Youla's theory |
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302 | (3) |
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Basic constraints on ρ2(s) |
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305 | (1) |
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Design procedure for singly matched networks |
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306 | (2) |
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308 | (14) |
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Butterworth matching networks |
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309 | (6) |
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Chebyshev matching networks |
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315 | (7) |
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RLC load: the low-pass Butterworth networks |
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322 | (21) |
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Low-pass Butterworth matching networks |
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322 | (5) |
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Explicit formulas for the low-pass Butterworth response |
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327 | (5) |
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Explicit formuas for Butterworth network containing a Darlington type-C section |
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332 | (5) |
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337 | (6) |
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RLC load: the low-pass Chebyshev networks |
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343 | (18) |
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Basic constraints for the low-pass Chebyshev response |
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343 | (4) |
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Explicit formulas for the low-pass Chebyshev response |
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347 | (9) |
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356 | (5) |
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Ladder impedance matching networks for the RLC load |
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361 | (11) |
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The Butterworth ladder impedance matching networks |
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361 | (5) |
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The Chebyshev ladder impedance matching networks |
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366 | (6) |
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372 | (17) |
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The Butterworth transducer power-gain characteristic |
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373 | (8) |
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The Chebyshev transducer power-gain characteristic |
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381 | (8) |
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Constant transducer power gain |
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389 | (10) |
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397 | (2) |
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399 | (64) |
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401 | (6) |
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Design by means of the open-circuit impedance parameters |
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407 | (15) |
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422 | (8) |
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Wohler's compatibility theory |
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430 | (6) |
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436 | (10) |
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446 | (17) |
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461 | (2) |
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Real-Frequency Solutions of the Broadband Matching Problems |
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463 | (72) |
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Direct real-frequency approach |
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463 | (3) |
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Piecewise linear approximation |
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466 | (4) |
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Piecewise linear Hilbert transforms |
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470 | (11) |
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481 | (15) |
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Rational least-squared-error approximation of R22(ω) |
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496 | (9) |
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505 | (2) |
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Network synthesis from a given real part |
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507 | (7) |
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508 | (2) |
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510 | (4) |
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514 | (9) |
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Scattering properties of the equalized system |
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515 | (2) |
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517 | (3) |
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520 | (3) |
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Using chain parameters to solve double matching problems |
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523 | (12) |
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Solution of the double matching problem using chain parameters |
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526 | (3) |
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529 | (4) |
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533 | (2) |
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535 | (52) |
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The scattering matrix of a lossless reciprocal three-port network |
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535 | (7) |
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Analytic method for the design of a constant resistance multiplexer |
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542 | (13) |
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Maximally flat low-pass high-pass reactance-ladder diplexers |
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555 | (13) |
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A real-frequency approach to the design of a low-pass high-pass reactance-ladder diplexer |
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568 | (19) |
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586 | (1) |
| Appendix Basic Fortran Subroutines in Network Synthesis |
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587 | (36) |
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1.1 The determinant of an N x N matrix |
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587 | (1) |
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588 | (3) |
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1.3 Gauss elimination algorithm |
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591 | (2) |
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2.1 Evaluation of a polynomial |
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593 | (1) |
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2.2 Determination of a polynomial from its complex zeros |
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594 | (2) |
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2.3 Multiplication of two polynomials |
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596 | (2) |
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2.4 Solution of cubic equation |
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598 | (2) |
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2.5 Find a real root of a nonlinear equation |
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600 | (2) |
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2.6 Find the roots of a nonlinear equation |
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602 | (2) |
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3.1 Expansion of a rational function into a continued fraction |
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604 | (2) |
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3.2 Determination of a rational function from a continued fraction |
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606 | (2) |
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3.2 Partial fraction expansion |
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608 | (2) |
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610 | (1) |
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4.1 The golden section search |
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611 | (5) |
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616 | (7) |
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621 | (2) |
| Index |
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623 | (4) |
| Fortran Programs |
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627 | |
Lisainfo e-raamatute kohta