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Cover image for The design of impedance-matching networks for radio-frequency and microwave amplifiers
Title:
The design of impedance-matching networks for radio-frequency and microwave amplifiers
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Publication Information:
Dedham : Artech House, 1985
ISBN:
9780890061725

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30000001067978 TK6553.A27 1985 Open Access Book Book
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Table of Contents

Chapter 1 Network Characterization and Analysis with Y-, Z-, T- and S-parametersp. 1
1.1 Introductionp. 1
1.2 Y-Parametersp. 1
1.3 The Indefinite Admittance Matrixp. 5
1.4 Z-Parametersp. 6
1.5 T-Parametersp. 8
1.6 Scattering Parametersp. 9
1.6.1 S-Parameter Definitionsp. 9
1.6.2 The Physical Meanings of the Normalized Incident and Reflected Components of an N-Portp. 15
1.6.3 The Physical Interpretations of the Scattering Parametersp. 17
1.6.4 Constraints Imposed on the Normalized Components by the Terminations of an N-Portp. 19
1.6.5 Derivation of Expressions for the Gain Ratios and Reflection Parameters of a Two-Portp. 21
1.6.6 Conversion of S-Parameters to Others Parametersp. 24
1.6.7 The Indefinite S-Matrixp. 24
1.6.8 Extension of the Single-Frequency S-Parameter Definitions to the Complex Frequency Planep. 26
1.6.9 Constraints on the Scattering Matrix of a Lossless N-Portp. 29
Questions and Problemsp. 33
References and Additional Readingp. 36
Chapter 2 Radio-Frequency Componentsp. 37
2.1 Introductionp. 37
2.2 Capacitorsp. 37
2.3 Inductorsp. 40
2.3.1 The Influence of Parasitic Capacitance on an Inductorp. 41
2.3.2 Low-Frequency Losses in Inductorsp. 43
2.3.3 The Skin Effectp. 44
2.3.4 The Proximity Effectp. 46
2.3.5 Magnetic Materialsp. 47
2.3.6 The Design of Air-Cored Single-Layer Solenoidal Coilsp. 51
2.3.7 The Design of Inductors with Magnetic Coresp. 56
2.4 Transmission Linesp. 59
2.4.1 Coaxial Cablesp. 60
2.4.2 Microstrip Linesp. 61
2.4.3 Twisted-Pair Transmission Linesp. 65
Questions and Problemsp. 65
References and Additional Readingp. 67
Chapter 3 Narrowband Impedance-Matching with LC Networksp. 69
3.1 Introductionp. 69
3.2 Parallel Resonancep. 70
3.3 Series Resonancep. 74
3.4 L-Sectionsp. 76
3.5 II-and T-sectionsp. 81
3.5.1 The II-Sectionp. 82
3.5.2 The T-Sectionp. 86
3.6 The Design of II- and T-Sections when the Terminations are Complexp. 87
3.7 Four-Element Matching Networksp. 89
3.8 Calculation of the Insertion Loss of LC Matching Networksp. 90
3.9 Calculation of the Bandwidth of Cascaded LC Matching Networksp. 92
Questions and Problemsp. 93
Chapter 4 Coupled Coils and Transformersp. 95
4.1 Introductionp. 95
4.2 The Ideal Transformerp. 95
4.3 Equivalent Circuits for the Practical Transformerp. 97
4.4 Wideband Impedance Matching with Transformersp. 100
4.5 The Single-Tuned Transformerp. 102
4.6 The Tapped Coilp. 103
4.7 The Parallel Double-Tuned Transformerp. 109
4.8 The Series Double-Tuned Transformerp. 115
4.9 Measurement of the Coupling Factorp. 118
4.9.1 Measurement of the Coupling Factor by Short-Circuiting the Secondary Winding of the Transformerp. 118
4.9.2 Measurement of the Coupling Factor by Measuring the Open-Circuited Voltage Gain of the Transformerp. 119
4.9.3 Measurement of the Coupling Factor by Measuring the S-Parameters of the Transformerp. 119
Questions and Problemsp. 120
Referencesp. 123
Chapter 5 Transmission-Line Transformersp. 125
5.1 Introductionp. 125
5.2 Transmission-Line Transformer Configurationsp. 127
5.3 The Analysis of Transmission-Line Transformersp. 135
5.4 The Design of Transmission-Line Transformersp. 142
5.4.1 Determining the Optimum Characteristic Impedance and Diameter of the Transmission Line to be Usedp. 143
5.4.2 Determining the Minimum Value of The Magnetizing Inductance of the Transformer at the Lowest Frequency in the Pass Bandp. 144
5.4.3 Determining the Type and Size of the Magnetic Core to the Usedp. 147
5.4.4 Compensation of Transmission-Line Transformers for Non-Optimum Characteristic Impedancesp. 149
5.4.5 The Design of Low-Pass LC Networks to Extend the Bandwidth of a Transmission-Line Transformerp. 154
Questions and Problemsp. 158
References and Additional Readingp. 160
Chapter 6 Wideband LC and RLC Impedance-Matching Networksp. 161
6.1 Introductionp. 161
6.2 Determining an Impedance Function for a Set of Impedance versus Frequency Coordinatesp. 162
6.3 The Analytical Approach to Impedance Matchingp. 170
6.3.1 Darlington Synthesis of Impedance-Matching Networksp. 172
6.3.2 LC Transformersp. 177
6.3.3 The Gain-Bandwidth Constraints Imposed by a Parallel RC and Series Loadp. 180
6.3.4 The Direct Synthesis of Impedance Matching-Networks when the Load (or Source) Is Reactivep. 182
6.3.5 Synthesis of Networks for Matching a Reactive Load to a Purely Resistive or Reactive Source by Using the Principle of Parasitic Absorbtionp. 186
6.3.6 The Analytic Approach to Designing Commensurate Distributed Impedance-Matching Networksp. 189
6.3.6.1 Richards' Transformationp. 190
6.3.6.2 Kuroda and Norton's Identitiesp. 193
6.4 The Iterative Design of Impedance-Matching Networksp. 195
6.4.1 The Line-Segment Approach to Matching a Reactive Load to a Purely Resistive Sourcep. 198
6.4.2 The Reflection Coefficient Approach to Solving Double-Matching Problemsp. 205
6.4.3 The Transformation Q Approach to the Design of Impedance-Matching Networksp. 215
6.4.3.1 Constraints on the Input Impedance of a Lossless Matching Network if the Gain is to Remain Constant at a Specified Frequencyp. 216
6.4.3.2 Extention of the Transformation Q Impedance-Matching Techniquep. 218
6.4.3.3 Optimization of the Transformation Q Factors of a Matching Networkp. 220
6.4.3.4 An Algorithm for the Design of Impedance-Matching Networks by Using the Transformation Factors of the Networkp. 230
6.5 The Design of RLC Impedance-Matching Networksp. 231
Questions and Problemsp. 235
References and Additional Readingp. 239
Chapter 7 Microwave Lumped Elements, Distributed Equivalents and the Parasitics Associated with Microstrip Transmission Linesp. 241
7.1 Introductionp. 241
7.2 Lumped Microwave Resistorsp. 242
7.3 Evaluation of the Limitations of a Series Transmission Line Used as a Lumped Elementp. 242
7.4 Lumped Microwave Inductorsp. 245
7.5 Lumped Microwave Capacitorsp. 251
7.6 Distributed Equivalents for Shunt Inductors and Capacitorsp. 252
7.7 A Transmission Line Equivalent for a Symmetric Low-Pass T-or [pi]-Sectionp. 257
7.8 Parasitic Effects of Microstrip Discontinuities at the Lower Microwave Frequenciesp. 263
7.9 A Compensation Technique for Microstrip Discontinuitiesp. 268
Questions and Problemsp. 271
Referencesp. 273
Chapter 8 The Design of Radio-Frequency and Microwave Amplifiersp. 275
8.1 Introductionp. 275
8.2 Amplifier Stabilityp. 275
8.3 The Optimal Stabilization of an Amplifier by Resistive Loadingp. 280
8.4 Constant Gain Circlesp. 284
8.4.1 Circles of Constant Mismatchp. 284
8.4.2 Constant Operating Power Gain Circlesp. 285
8.4.3 Constant Available Power Gain Circlesp. 288
8.5 Tunabilityp. 289
8.6 Unilateralnessp. 290
8.7 A Technique for Designing Amplifiers with Non-Unilateral Inherently Stable Transistorsp. 291
8.8 The Dynamic Range of an Amplifierp. 293
8.8.1 Evaluation and Optimization of the Noise Performance of an Amplifier -- A Procedure for Determining the Optimum Combination of Available Power Gain and Noise Figure for a Multistage Amplifierp. 293
8.8.2 Evaluation of the Linearity of an Amplifierp. 298
8.9 The Design of Multistage Amplifiersp. 300
8.9.1 A Procedure for Designing Small-Signal Amplifiers Based on the Operating Power Gainp. 300
8.9.2 A Procedure for Designing Small-Signal Amplifiers Based on the Available Power Gainp. 302
8.9.3 A Procedure for Designing a Wideband Amplifier for a Specified Noise-Figure and Transducer Power Gainp. 304
8.10 Reflection Amplifiersp. 311
8.11 Balanced Amplifiersp. 314
8.12 Considerations Applying to Power Amplifiersp. 315
Questions and Problemsp. 319
References and Additional Readingp. 323
Appendices
Appendix A PLNM Fortranp. 325
Appendix B ZVR Fortranp. 331
Appendix C LSM Fortranp. 338
Appendix D RCDM Fortranp. 346
Appendix E S-Parameter Expressions Relevant to the Design of RF and Microwave Amplfiersp. 359
Appendix F SYZ Basicp. 364
Indexp. 369
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