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Conquer Radio Frequency

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Table of Contents II 2.9 Transmission Lines Applied to High Frequency Circuits ....................................................... 93 2.10 Extra bits ............................................................................................................................. 102 2.11 Transmission lines – Design and Practical Realisation ........................................................ 104 2.11.1 Coaxial line .................................................................................................................. 104 2.11.2 Microstrip Line ............................................................................................................ 108 2.12 Video Tutorials and Animations .......................................................................................... 114 2.13 Why 50Ω ? ........................................................................................................................... 115 2.14 The dreaded maths ............................................................................................................. 116 2.14.1 Introduction ................................................................................................................ 116 2.14.2 Transmission lines ....................................................................................................... 118 3 Foundations of RF & Microwave Circuit Characterisation .......................................................... 123 3.1 Introduction ........................................................................................................................ 123 3.2 Reflection Coefficient .......................................................................................................... 125 3.3 Voltage Standing Wave Ratio (VSWR) ................................................................................ 133 3.4 Mismatched lines - A Physical viewpoint ............................................................................ 135 3.4.1 Z L > Z 0 , Z L =100Ω .......................................................................................................... 135 3.4.2 Z L < Z 0 , Z L =25Ω ............................................................................................................ 137 3.4.3 Power considerations.................................................................................................. 138 3.5 Reflection Coefficient VS Impedance .................................................................................. 139 3.6 The Smith Chart .................................................................................................................. 141 3.7 Video Tutorials .................................................................................................................... 145 3.8 Two-Port Networks and S-parameters ............................................................................... 146 4 Impedance Matching .................................................................................................................. 151 4.1 Introduction ........................................................................................................................ 151 4.2 Impedance and Admittance ................................................................................................ 153 4.2.1 Introduction ................................................................................................................ 153 4.2.2 Impedance & Series Elements .................................................................................... 156 4.2.3 Series R-L-C .................................................................................................................. 160 4.2.4 Admittance & Parallel Elements ................................................................................. 163 4.2.5 Parallel RLC .................................................................................................................. 166 4.2.6 The Ubiquitous Quality Factor, Q ................................................................................ 169 4.2.7 'Q' – Quality Factor and Series to Parallel Conversions .............................................. 170 4.2.8 Q of series and parallel L-C resonators ....................................................................... 173 4.3 Matching two unequal resistive impedances ..................................................................... 174 Conquer Radio Frequency IV www.cadence.com/go/awr

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