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Feedback
amplifiers
June 17, 2007
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Feedback is used in a variety
of ways. It can be used to flatten the gain versus frequency of
an amplifier (almost always used in one-stage wideband amps with
flat gain). Often, it is used to raise the K-factor
of an amplifier stage to provide unconditional stability. Feedback
is also used in low noise amplifiers to change the input matching
characteristics. There are two types of feedback, series and parallel.
Series
feedback
Series feedback is realized by
adding lossless inductance in series with the FET source connection
before it terminates in RF ground. This tends to reduce available
gain from the device (and the gain degradation increases with frequency),
but it has been used to improve the input return loss of low noise
amplifiers, and move the location of the best noise match closer
to the position of the conjugate match.
In practice, the feedback that
is needed is rather small. In some cases, moving a FET's source
ground connection just a hundred microns is all the feedback you'll
want.
Below is an obsolete low noise
amplifier, with series feedback in both stages (RF input is on the
left) and parallel feedback on the second stage. The series feedback
is accomplished by the north/south transmission lines that leave
the first FET and eventually get grounded by via holes (under the
dark metal squares). From the length of the feedback lines, you
might guess this is an X-band LNA. At higher and higher frequencies,
the optimum feedback gets smaller and smaller.

U. S. patent 4,614,915
Series feedback in LNAs
is actually covered by U. S. patent 4,614,915, Monolithic
series feedback low noise FET amplifier by inventors Heston
and Lehmann, 1984. These two Texas cowboys discovered that
by adding series feedback to the source of a FET, it is possible
to move the input impedance match for lowest noise (ZOPT)
very close to the input impedance match for maximum gain (S11*).
It looks like the assignee of the patent (Texas Instruments
originally, probably TriQuint by now) never tried to enforce
it, nearly all LNAs use this technique today and few designers
know that it is patented!
Here's an image we cribbed
from 4,614,915. The series feedback lines are 32 and 34 which
connect the source (24 and 26) to vias to backside ground
(38 and 36). Note that this FET has but a single gate finger
(it's vertical, fed by 16). One thing that the inventors didn't
think of was to use bypass capacitors to establish RF ground
to the source, this design can't be self biased with source
resistors like the MMIC LNA we discuss on
this page.
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Parallel
feedback
In parallel (or shunt) feedback,
a path is introduced between the output of a FET (drain) and the
input (gate), parallel to the signal. It must have a high-pass characteristic,
because the DC potential at the gate and drain terminals of a FET
are never equal. Often it is a lossy path, and includes a resistor
(a series RLC network is most common).
The obsolete Daico-GEC-Marconi-Bookham
P35-4100 amplifier is a good example of a MESFET feedback amplifier
MMIC. You can see a shunt RLC path from input to output (left to
right). The large spiral inductor on the top of the chip is part
of the feedback network. A capacitor just above the input RF bondpad
forms the DC block in the feedback path. The "clear" square
of material just above the output bond pad is a series resistor,
also in the feedback path. The purpose of the feedback on this one-stage
amp is to equalize the available gain over a wide frequency band
(50 MHz to 5 GHz), so that when the input and output are matched,
flat gain is the result. It probably also helps make the part unconditionally
stable.

So how come we can
get away with a feedback connection from output to input of a FET
amplifier? Shouldn't this make the device unstable, you ask? The
answer is that MESFETs (and PHEMTs) are depletion-mode devices,
which means that a positive voltage excursion on the input will
produce a negative voltage excursion on the output, so if you feed
back a part of the signal, it is negative feedback. Talk about serendipity!
You still have to be careful, the feedback path has to be kept electrically
short or you may get positive feedback as you go up in frequency
and create an oscillator.
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