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Figure 153 A 2-port network showing transmission and reflection parameters DUT stands for
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As it is far easier for the designer to deal with decibels than with voltage levels, the majority of the S21, S11, S12, S22 values are in dB which, when compared to the measured voltages in a 50-ohm system is SXX (dB) 20 log10 |SXX|
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where XX is 21, 12, 11, or 22 Even though S parameters are frequently associated with 2-port devices, they work equally well with 3, 4, or more ports by the addition of the suitable subscripts, such as S31 for the forward gain through one branch of a splitter, as shown in Fig 154
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152 S parameter measurement
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To clarify just what S parameters are, the measurement of an active device is shown in Fig 155, which demonstrates a simple test setup for a method of taking the S parameters in the forward direction To obtain the S parameters for a BJT, the bias voltage is injected at bias voltage 1 (with L and C acting as decoupling components), which will control the base current, and thus the collector current, of the BJT The emitter is grounded, while the VCE for the BJT s collector is supplied by bias voltage 2 Bias voltage 2 furnishes the Class A static DC bias conditions for the transistor This hints as to why all S-parameter files are supplied only for a specific frequency, IC, and VCE and why other frequencies and IC s or VCE s will change the device s parameters (more on this later) An AC signal is now injected into port 1, through the dual directional coupler, by the 50-ohm RF signal generator (S parameters are taken only when terminated at the input and output by 50 ohms, or 50 j0) The vector voltmeter M1, a device that is able to measure not only the voltage of a signal, but also its phase, reads the amplitude and phase of VA of the signal into port 1 of the BJT Meter M2 reads the amplitude and phase of VB of the signal that is reflected back from
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Downloaded from Digital Engineering Library @ McGraw-Hill (wwwdigitalengineeringlibrarycom) Copyright 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website
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One
Figure 154 Three-port splitter demonstrating forward S parameters
the input of the BJT (due to any impedance mismatch from the system impedance of 50 ohms) The ratio VB/VA of the amplitude of the reflected signal, VB, to the amplitude of the VA signal from the generator gives the magnitude of S11, the input reflection coefficient This value will invariably be less than unity The phase angle difference between VB and VA depicts the phase angle of S11:
So the S parameter S11 will be S11 VB VA
S21, the forward transducer gain, equals the voltage measured at VC by M3, and will be some value greater than unity since it is the amplified value of VA, or VC/VA The phase difference between VC and VA is measured as
So S21 will be S21 VC VA
Figure 156 shows one technique for measuring the reverse S parameters of an active device Basically, the setup of Fig 155 is reversed, but the bias voltages and the DUT orientation remain the same, with the input now terminated with 50 ohms and the active device s output now fed by the 50-ohm signal generator A signal is injected into port 2, through the dual directional coupler, by the 50-ohm signal generator The vector voltmeter M4 reads the amplitude and phase of VD of the signal at port 2 of the DUT Meter M3 reads the amplitude and phase of VC of the signal reflected back from the output of the DUT (due to any impedance mismatch from the system s impedance of 50 ohms)
Downloaded from Digital Engineering Library @ McGraw-Hill (wwwdigitalengineeringlibrarycom) Copyright 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website
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