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Mixer waveforms
Updated July 8,
2011
Click here
to go to our main page on mixers
Click
here to go to our page on double-balanced mixers
On this page we will show you
the time-domain voltages of an ideal double-balanced mixer. We hope
to show you that mixer design is not really a black art! For reference,
here is a simple schematic of a double-balanced mixer:

In spite of the problem of not
having a schematic here, we will use a simple Excel file that you
can download to produce plots to visualize how a mixer works. Click
here to go to our download area
and plot your own waveforms at the RF and LO frequencies of your
choice!
Recall that a mixer has three
ports, the radio frequency port (RF) port, the local oscillator
port (LO), and the intermediate frequency port (IF). The LO signal
is the strongest signal, and is used to turn the diodes "on
and off", which effectively reverses the path of the RF to
the IF (again, we wish we had a schematic...) The RF signal is modified
by the LO signal, and its waveform is filtered to become the IF
signal.
In the figure below, you can
see the RF and LO waveforms. In this case, the RF is at 150 MHz
(period is 6.66 nanoseconds), and the LO is at 100 MHz (period is
ten nanoseconds). We don't have to tell you that period is (1/frequency),
do we? Although we have pictured the RF and LO voltages as equal
to unity improve the visualization, remember that in real life the
LO usually much, much higher in voltage amplitude.

In the next plot, you can see
the effect that the LO has on the RF signal, as it is passed to
the IF port. The mixer acts just like a 180 degree phase
shifter, with the LO signal as the drive voltage. When the LO
signal is positive, the RF signal is left alone. But when the LO
signal is negative, the four diodes are conducting in the opposite
sense, and the RF signal is inverted. In the plot the LO signal
is dotted; you can see an instantaneous phase shift a five, 10,
15, etc. nanoseconds as it crosses zero volts. Now squint your eyes
and ignore the dotted LO signal. Don't let anyone see you do this
or they might think you have gas... You will see a waveform that
is quite ugly, but is obviously periodic at 20 nanoseconds (50 MHz).
Why couldn't you use a 180 degree
phase shifter as a mixer? It is possible that in some applications
you can, but keep in mind that there is often a limitation in how
fast you can switch a "normal" phase shifter, a mixer
is designed so that the LO signal is not choked before it hits the
diodes.

The final step is to smooth the
IF signal with a low-pass structure. You can see the effect in the
plot below, here the smoothed IF signal is yellow. Voila, you now
know how a mixer works!!!

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