Double-balanced
mixers
Updated March 8,
2008
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to go to our main page on mixers
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New for March 2008! Liam
Devlin contributed a much better explanation about double-balanced
mixers, scroll down a piece and you'll see it!
Double-balanced mixers are a
workhorse of the microwave industry, providing exceptional performance
over bandwidths from 2 to 22 GHz in one design.
Below is a schematic of a double-balanced
mixer. Here we've used the schematic symbol for a
balun. Note the quad diode, these are typically fabricated monolithically
so that they all have the same forward voltage. The RF and LO drive
different nodes of the diode quad which give these signals natural
isolation, and the IF is picked off of either one of these signals.
The pick-off is a low-pass filter, typically the IF is five to ten
times lower than the lowest RF or LO frequency, and some inductance
is all that is needed to isolate it. The two capacitors are used
to provide a high-impedance block to the IF so that it stays off
of the RF balun in this case. A really simple circuit, but in practice,
there can be problems creating wideband baluns for microwave circuits.

Here's a double-balanced mixer
rule of thumb!
For the best LO to IF isolation, always tap off the IF from the
RF balun, not the LO balun. You should get 20 dB better LO rejection
this way.
Double-balanced Switching Mixers
Contributed by Liam Devlin
Plextek Ltd.
A double-balanced switching mixer
uses four switching devices (such as diodes, FETs or PHEMTs) arranged
in a ring or star configuration. Both the LO and RF ports are balanced
and all ports of the mixer are inherently isolated from each other.
The advantages of a double-balanced design over a single balanced
design are increased linearity, improved suppression of spurious
products (all even order products of the LO and/or the RF are suppressed)
and inherent isolation between all ports. The disadvantages are
that they require a higher level LO drive and require at least two
baluns. Figure 1 shows a block diagram of a double-balanced diode
ring switching mixer.

Figure 1: Block diagram of a double-balanced diode switching mixer
The functionality of the switching
mixer can be understood by considering the LO to be alternately
turning on and off the right hand pair and left hand pair of diodes
in anti-phase. Points 'a' and 'c' are virtual earths (grounds) to
the RF signal and can be considered as connected to ground from
an RF perspective. Thus points 'b' and 'd' (the balanced RF signal)
are alternately connected to ground (at points 'a' and 'c'). This
means that an in-phase RF signal and an anti-phase RF signal are
alternately routed to the IF port under control of the LO. The signal
at the IF port is effectively the RF signal multiplied by an LO
square wave of peak magnitude 1.
This action is easily demonstrated
using simple mathematical processing software (The Unknown Editor
notes: we have another page on this
topic which provides info on an Excel file that you can download).
Figure 2 shows a sinusoidal voltage waveform at a frequency of 1
GHz, this is the RF waveform. Figure 3 shows a square wave at a
frequency of 870 MHz, this is the LO switching waveform. Multiplication
of the two will produce a waveform with a strong component at the
difference frequency (IF) of 130 MHz.

Figure 2: RF voltage waveform versus time in nanoseconds
(click image to magnify it)

Figure 3: LO voltage waveform versus time in nanoseconds
(click image to magnify it)
Figure 4 shows the result of
multiplying the RF and LO waveforms. A low frequency sinusoid is
clearly visible. This is a replica of the RF signal (i.e. a sinusoid)
translated to the IF frequency of 130 MHz. Although this method
of mixer analysis provides a good understanding of how the mixer
functions, it is not adequate to predict the RF functionality. Ideal
square wave multiplication, such as this, results in a conversion
loss of 3.9 dB. In practice diode and FET ring mixers have additional
losses (in the baluns and switching devices) and imperfections that
increase the conversion loss actually achieved. A loss of between
6 and 8 dB is typical for a well designed mixer. In order to predict
accurately the mixer's performance, large signal circuit simulation
must be performed.

Figure 4: IF voltage
waveform (Vrf*Vlo) versus time in nanoseconds
(click image to magnify it)
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