
From John Effland via Charles Cunningham:
The stability data presented at Groningen along with the setup used to
obtain the data. Please note the following:
The actual measured data from the mixer-preamp is shown by the red
trace at higher frequencies and by red, pink, and dark blue traces at
lower frequencies. The data are reconstructed from a number of
sweeps on the FFT analyzer using different maximum frequencies.
This is required to obtain adequate resolution at the lower
frequencies. A check of the calibration is given by the purple X,
which is the theoretical noise assuming an 8 GHz bandwidth. It's
not surprising that the measured delta V/V is higher
that the theoretical value because the shape of the noise passband from
the mixer-preamp has a drop in the middle of the IF band. That most
likely yields an effective noise bandwidth that's smaller than 8 GHz.
The light blue trace shows the setup variance when the setup is
configured to measure just the noise contributions from the IF
system. In the setup diagram, the Radiall Switch is connected to
the hot load. Note that this trace falls close to the theoretical
8 GHz bandwidth mark.
The green trace is a calibration that shows the noise when the
measurement bandwidth is reduced from 8 GHz to 500 MHz using the
K&L 4B380-4750/500-0 filter (shown by the dashed lines in the block
diagram of the setup). Note that the theoretical level using this
filter, shown by the green square, is just slightly higher than the
measured
green trace. This is explained by recalling that the filter's
noise bandwidth is certainly greater than 500 MHz, which is just the 3
dB bandwidth.
Larry notes:
. The various plots on top of each other are hard to read.
There are
two red ones and two blue ones, as well as other colors. I've used
what seems to be the best of them, the lower red plot.
. Presumably what's plotted is the *single sided* voltage
spectral density, since the stated theoretical value for effective
bandwidth B is \sqrt(2/B); for two-sided, it would be \sqrt(1/B).
. To the best of my ability to measure from the plot, and
ignoring the peaks at 2.3, 38, and 60
Hz, I find:
f_c = 200 Hz (corner
frequency)
\alpha = -1.14 (2*slope)
B = 4.3 GHz (VSD
= 2.14e-5/sqrtHz)
This yields a flicker coefficient of the gain fluctuation
PSD of G_1 = 9.8e-8 /Hz (see Memo 466 for
explanation).
The apparent effective bandwidth is surprisingly low, even
considering John's explanation of a gain hole in the band.
Comparison against Table 1 of Memo 466 shows that G_1 is
worse than almost all HFET amplifiers reported.
Based on scaling those
reported numbers to the characteristics of the ALMA IF
amplifiers built in Charlottesville with "Cryo 3" wafer InP
transistors, I had
predicted G_1 = 1.2e-9 /Hz (bottom of p9 in Memo
466). Of course, that was just for the cold preamp,
and this measurement is for a
complete receiver.
. The data for the IF system alone (light blue curve) gives
f_c = 90 Hz
\alpha = -1.2
B = 7.8 GHz
and this yields G_1 = 2.8e-8. This is quite bad as
well, so with this system it would not be possible to
measure a really good receiver.
. The peak at 2.3 Hz is no doubt gain modulation from the
cryocooler, either from vibration or from temperature modulation (it
would be nice to know which). And the 60 Hz peak is no doubt from
the power line. Do we know the cause of the 38 Hz peak? It looks
like the 60 Hz modulation is in the IF system, since it's just as
strong for the IF alone. The other peaks occur only with the full
receiver.
Test Setup
