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Amplifier Design



                                                                               Amplifier Design  151

                        safety from oscillation in high-gain amplifiers from VHF upward will normally
                        demand some small value of resistive collector loading. The higher the value
                        of the resistor, the more stability, but the less amplifier gain. Values of
                        between 5 to 20 ohms should suffice.
                          As an example of LNA design, the ideal bias point for the lowest NF for a
                        certain low-noise transistor was found to be V    10 V and I   6 mA on the
                                                                   CE            C
                        device’s data sheet. The optimal   for low-noise is    and equals 0.65  138°
                                                       S                S(opt)
                        for this transistor, also as printed on the data sheet, for the frequency and bias
                        of interest (   may likewise be referred to as   and   ). Along with    ,
                                    S(opt)                            0      opt            S(opt)
                        we will also find the G expected of the transistor at our operating frequency;
                                             a
                        this is the associated gain at the minimum noise figure, in dB. The S parame-
                        ters of the transistor at the above bias conditions are S   0.35  160°; S
                                                                            11               22
                        0.37   36°; S   0.05  61°; S   3.4  62°. Design an LNA that has a Z    of
                                      12             21                                      IN
                        50 ohms and a Z     of 50 ohms at 500 MHz. Calculate impedance matching
                                        OUT
                        networks and gain.
                        1. Is the transistor unconditionally stable (K   1)?
                        2. The      for optimal NF, as stated on the data sheet, is 0.65  138°, which
                                S(opt)
                           equals  0.48   j0.43.
                        3. Find the input matching network’s optimum NF matching from source to
                           the transistor’s input using     in step 2; make the transistor’s input
                                                       S(opt)
                           think that it is seeing    as its source.
                                                 S(opt)
                        4. Find
                                                           S S
                                                                21
                                                             12
                                                                   S(opt)
                                                   (S                  )
                                                 L    22   1   S
                                                                11  S(opt)
                           where     load reflection coefficient
                                  L
                                      value as shown in step 2 above
                                S(opt)
                                  
  complex conjugate of the result
                           Use vector quantities for S.
                        5. Match the transistor’s output to the next stage.


            3.2 Large-Signal Amplifiers
            3.2.1 Introduction
                        Linear Class A power and small-signal amplifiers can be designed by S param-
                        eters. Nonlinear, Class B and C power amplifiers cannot reliably exploit these
                        parameters, but instead must depend mainly on  large-signal input/output
                        parameter design. These values can be found in the power transistor’s data
                        sheet in rectangular notation (such as 1.1   j3.2) for its series input and out-
                        put impedances at a number of frequencies, and at a specific V  and P  . The
                                                                                 CC      OUT
                        series input and output impedances can be made available as a Smith chart


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