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            where  gm(t)  is  a  time-varying  transconductance  with  its  shape  depending  on  the

            oscillator  amplitude.  This  shape  resembles  the  collector  current  of a  bipolar
            transistor  with  a  large  overdrive  signal,  as  seen  in  Figure  14-6.  For  large  signals
            such  as  100  mV to 200  mV peak to peak,  the time-varying transconductance has a
            shape  approaching  a pulse.  And  the  narrowing  nature  of this  pulse  as  larger and

            larger amplitudes of oscillator signals are combined  into a transistor mixer will  limit
            the conversion transconductance.




























            ·5
























            FIGURE  14-6 Collector current of the transistor for various  input  levels
            into the base-emitter junction. The Xaxis shows time, whereas the  Yaxis

            shows the amplitude.
            As  seen  in  the  figure,  because  transconductance  is  directly related  to the  collector
            current,  the  transconductance  is  time-varying  and  has  the  same  pulse "shape" as
            the  OSCillator  amplitude  is  increased  into  the  transistor  mixer.  A  topic  of

            mathematics  known  as  modified 8esse/ functions  explains  the  time-varying
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