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input signals,  Р(/).  Therefore,  there  аге exceptions  to the  concept of balancing  out

            ог nulling out the input signal  from the output of а multiplier ог mixer.
            Now  let's  return  to  Figuгe 15-20 and  examine how  it works  as  а multiplier. The  RF
            inputs  connected  to  each  of  the  two  inputs  of the  switch  аге complementaгy ог
            push-pull.  The  oscillator  signal  that  is  fed  to  the  switch  control  actuator  is  а 50
            percent duty-cycle  square-wave  signal. Therefore,  at the output of this  mixer,  half
            the time the output is  the  RF  signal  input and  the other half of the time the output

            is the  inveгted RF  input signal.  For  example,  if the  control  signal  is  logic  high,  the
            output  of the switch  is  connected  to the  noninveгting RF  signal.  When  the control
            signal  is logic low,  the output of the  switch  is  connected  to the  inveгting RF  signal.
            Thus  the  output  of the  mixer  is  а signal  that  flips  the  sign  ог polarity  of the
            incoming  RF  signal.  lп other  words,  this  mixer commutes  the  RF  signal  in  polarity
            as а function of the oscillator signal.

            Therefore,  the circuit in  Figure  15-20 is  sometimes called  а commutating mixer.  То
            understand the multiplying characteristic of this circuit,  for the  time being,  consider
            setting  the  noninveгting RF  signal  V RF  to  11  volt ОС at the А input of the switch.  lf
            the А input is  11 volt ОС, then the  В input of the switch has to  Ье -1 volt  ОС based

            оп the fact that the В input is the inveгting RF  signal  input.
            Now,  with  11  volt  ОС at the А terminal  and -1 volt  ОС at the  В terminal,  and  with
            the  oscillator  signal  controlling  the  switch  so  as  to  send  the  voltages  at  the  input
            terminals  in  ап alternate  таппег, the output has  to generate а square-wave  signal
            of  levels  +1  volt  and  -1  volt at the  same  frequency  as  the  oscillator  signal.  For

            example,  if the  oscillator signal  is set to  10  MHz,  with the input voltages  at 11  volt
            and  -1  volt,  the  output of the  switch  will  generate  а  10-МНz square-wave  signal
            that is 2 volt peak to peak and centered around О volt.
            lf V RF  is  increased  to  12  volts  ОС at the  А terminal,  then  the  voltage  at  the  В
            terminal  of the  switch  has  to  Ье -2  volts  ОС, and  the  output  of the  mixer  will

            provide  а square-wave  signal  from  -2 volts  to  12  volts,  ог а 4-volt  peak-to-peak
            signal  at 10  MHz.  Therefore, the output of the mixer is  а square-wave signal that is
            scaled  Ьу the  input  signal,  and  in  paгticular, this  square-wave  signal  is  bipolar,
            meaning  that  it  outputs  both  positive  and  negative  pulses.  Also  note  that  with
            positive  voltages  at input  terminal  А, the  output  square-wave  signal  matches  the
            same phase as the oscillator signal.

            Now  what happens if V     RF   at the А input is set to -1 volt  ОС? Then  the  В input will
            have  to  Ье 11  volt  ОС, and  the  output  of the  mixer  still  will  generate  а 2  volt
            peak-to-peak  square-wave  signal  but  with  inveгted phase  in  relationship  to  the
            oscillator's signal.  Thus,  at least with  ОС voltages,  there is  а multiplying effect from
            this  circuit.  And  in  general,  if the  input  signal  is  ап АС signal,  there  is  still  а

            multiplying effect from this mixer circuit.  From  the examples where the input signal
            is  increased,  decreased,  ог changed  to а negative  polarity, the output of the mixer
            maintains propoгtionality and  phase.
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