[evlatests] Sensitivity of 3-bit vs. 8-bit

Barry G. Clark bclark at nrao.edu
Wed May 11 12:21:14 EDT 2011


As I've said before, I consider the phase noise in a single channel
as the gold standard.  This method probably doesn't, but might, couple
in spectral anomalies through the calibration process.  We are going
for 1% after all.

Anybody got any ideas about the 'noisy' 8 bit digitizers?

>     I applied a 'fresh set of eyes' to 3 and 8-bit data taken at
> C-band
> on April 21.
>
>     The observations were of 3C147,  J0217+7349 (our favorite northern
> 'dot' source), and of a nearby 'noise' field, devoid of strong
> emission.  The 3-bit observations were taken first, with all
> appropriate
> levels set correctly (says Vivek, who ran the test).  The 8-bit
> observations followed about 45 minute later.  I utilized only the
> northern data, so there will be no important change in elevation.
>     The data, for both 3 and 8 bits, were taken with 8 subbands of 128
> MHz width each, with 2 MHz channel resolution, spanning 5488 through
> 6512 MHz.  Unfortunately, subbands 4 and 5 both have contamination
> from
> the Mangas-Grayhill telecom link (centered at 6004 MHz, 30 MHz wide),
> so
> these subbands were not utilized in the analysis.
>
>     The data are of excellent quality.  Calibration followed the usual
> path, except that I did not attempt to transfer the gain calibration
> from 3C147.  We are interested in ratios between 3 and 8 bits, so I
> merely used the approximately correct flux of 4.1 Jy for J0217+7349.
>     Once the levels were set, the 3-bit data showed excellent
> amplitude
> and phase stability.
>
>     Examination of the bandpass solutions showed very good flatness,
> except in subband 7, which has (for reasons unknown to me) a strong
> slope of 4 dB over 128 MHz in 15LCP and 22 LCP.  Maximum (power)
> differentials within all other subbands are less than 2 dB.
>     Curious sharp features, seen in antennas 12 and 22 in subbands 6,
> 7,
> and 8 were found to be due to an *enormous* internal birdie on those
> antennas, which I recall is due to the sampler intself (we had these
> features in the previous design also).   Autocorrrelation spectra are
> available for two of the four antennas (12 and 22), so I could see the
> characteristics of this tone.  The maximum power density (in radio
> astronomy units) is about 2000 Jy within the 2 MHz channel resolution.
> The tone is unresolved, but is not of perfectly constant frequency --
> it
> is seen to 'wobble' a bit in the 'waterfall' plots.  The tone
> frequencies are different for each antenna and IF -- hence we don't
> expect a strong cross-correlation between any pair of antennas.
>     But we do see faint imprints of these 'tones' in the
> cross-correlation data, enough to cause the sharp features in the
> bandpass spectra noted above.  Some sort of coupling would seem to be
> happening.
>
>     It would be good if autocorrelation spectra were made available
> for
> all four antennas, in future tests...
>
>     The main purpose of this test was to measure the sensitivity
> degradation between 3 and 8 bit data.  To do this, I formed histograms
> of the noise scatter in the imaginary part of the visibility on the
> 'noise' field.  Checks with the real part showed excellent agreement
> in
> all cases.  I also checked the parallel hands against the crossed
> hands,
> with again excellent agreement.
>
>     Below are the 'degradation matrices' for four of the subbands:  2,
> 3, 6, and 8.  Subband 1 was not utilized since we know the 8-bit path
> is
> severely degraded.  Subbands 4 and 5 have RFI.  Subband 7 has the
> strongest internal birdies, and a strong spectral slope, as noted
> above.
>
>     For the four chosen subbands, I measured the noise histograms,
> using
> the central 45 channels.  All showed gorgeous Gaussian shapes, with no
> outliers or sharp features.   The matrices below give the percentage
> degradation of the noise in 3-bit to that in 8-bit modes.  A value of
> 5%
> would be considered expected.  A value of 10% is a little worrisome.
> RCP is in the upper right, LCP in the lower left.
>
> Subband 2 (5680 MHz,center)
>
>        12     15       22     28
> -------------------------------------
> 12 |  X      5         8        3
> 15 |  3       X        7        3
> 22 |  12     12      X        7
> 28 |  -2      -3       9        X
>
> Subband 3  (5808 MHz)
>
>        12     15       22     28
> -------------------------------------
> 12 |  X      7         4        0
> 15 |  3       X        9        2
> 22 |   6     12      X         8
> 28 |  -4       0       1        X
>
> Subband 6  (6192 MHz)
>
>        12     15       22     28
> -------------------------------------
> 12 |  X      11       19      13
> 15 |  7       X        9        6
> 22 |  23     23      X        11
> 28 |   5       2      17        X
>
> Subband 8 (6448 MHz)
>
>        12     15       22     28
> -------------------------------------
> 12 |  X       3       10      7
> 15 |  -1       X      10     -2
> 22 |  18     12      X       4
> 28 |  -2       -8      6        X
>
>     The overall average degradation 6.5%, which is only slightly
> greater
> than that anticipated.  The dispersion of this average is 6.5%.
>     It's clear that antenna 22 on the RCP side has an anomalously high
> loss in 3-bit mode.  It is also notable that antenna 28, on the RCP
> shows effectively no loss at all -- presumably this is telling us
> something about the 8-bit side.
>     Subband 6 shows the highest loss ratios -- this is caused by a
> *decreased* rms noise from the 8-bit side, but I have no easy
> explanation for this.  Perhaps something in the calibration.
>
>     The strong spectral slope seen in subband 7 on some antennas gives
> an opportunity to see if the noise in the 'spectrally weak' channels
> is
> higher than on the spectrally strong ones.  The slope is notably
> strongest for antennas 22 and 15 in LCP, where there is a 3 dB
> difference between channels 12 and 52.  The expected trend in the
> noise
> is easily seen on this baseline:
>
>     Channel 12:  rms = 135 mJy
>     Channel 32:  rms = 116
>     Channel 52:  rms = 113.
>
>     All other baselines to these two antennas show the effect as well,
> but not as strongly (as expected, since the slopes in antennas 12 and
> 28
> are not as steep).
>
>
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