From 83f2a155a906282a82fd13db9ce81fabdb56150d Mon Sep 17 00:00:00 2001 From: cjordan Date: Wed, 27 Sep 2023 02:23:02 +0000 Subject: [PATCH] =?UTF-8?q?Deploying=20to=20gh-pages=20from=20@=20MWATeles?= =?UTF-8?q?cope/mwa=5Fhyperdrive@1e36c75f65de46f0876e4b5634aa8ec6a383b40f?= =?UTF-8?q?=20=F0=9F=9A=80?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 404.html | 2 +- defs/beam.html | 2 +- defs/blocks.html | 2 +- defs/cal_sols.html | 2 +- defs/cal_sols_ao.html | 2 +- defs/cal_sols_hyp.html | 8 +- defs/cal_sols_rts.html | 2 +- defs/coords.html | 302 +++++++++++++ defs/dut1.html | 6 +- defs/fd_types.html | 2 +- defs/modelling/estimating.html | 6 +- defs/modelling/intro.html | 2 +- defs/modelling/rime.html | 2 +- defs/mwa/corrections.html | 2 +- defs/mwa/dead_dipoles.html | 6 +- defs/mwa/delays.html | 2 +- defs/mwa/metafits.html | 9 +- defs/mwa/mwaf.html | 2 +- defs/mwa/mwalib.html | 2 +- defs/mwa/picket_fence.html | 2 +- defs/pols.html | 17 +- defs/source_list_ao.html | 2 +- defs/source_list_hyperdrive.html | 199 ++++++--- defs/source_list_rts.html | 2 +- defs/source_lists.html | 2 +- defs/vis_formats_read.html | 2 +- defs/vis_formats_write.html | 2 +- dev/ndarray.html | 23 +- dev/vec1.html | 2 +- index.html | 2 +- installation/from_source.html | 114 +++-- installation/intro.html | 2 +- installation/post.html | 2 +- installation/pre_compiled.html | 13 +- print.html | 568 ++++++++++++++++++++----- searchindex.js | 2 +- searchindex.json | 2 +- tomorrow-night.css | 4 +- user/beam.html | 242 +++++++++++ user/di_cal/advanced/time_varying.html | 2 +- user/di_cal/amps.png | Bin 280658 -> 250572 bytes user/di_cal/amps_full.jpg | Bin 380996 -> 400640 bytes user/di_cal/garrawarla.html | 6 +- user/di_cal/how_does_it_work.html | 230 ++++++++++ user/di_cal/intro.html | 2 +- user/di_cal/out_calibrated.html | 2 +- user/di_cal/phases.png | Bin 322648 -> 295907 bytes user/di_cal/phases_full.jpg | Bin 346032 -> 397087 bytes user/di_cal/simple.html | 2 +- user/di_cal/tutorial.html | 2 +- user/help.html | 2 +- user/intro.html | 2 +- user/plotting.html | 11 +- user/solutions_apply/intro.html | 6 +- user/solutions_apply/simple.html | 2 +- user/vis_convert/intro.html | 224 ++++++++++ user/vis_simulate/intro.html | 6 +- user/vis_subtract/intro.html | 6 +- 58 files changed, 1792 insertions(+), 280 deletions(-) create mode 100644 defs/coords.html create mode 100644 user/beam.html create mode 100644 user/di_cal/how_does_it_work.html create mode 100644 user/vis_convert/intro.html diff --git a/404.html b/404.html index b11cb454..4955af31 100644 --- a/404.html +++ b/404.html @@ -84,7 +84,7 @@ diff --git a/defs/beam.html b/defs/beam.html index e6c250c6..311ab540 100644 --- a/defs/beam.html +++ b/defs/beam.html @@ -83,7 +83,7 @@ diff --git a/defs/blocks.html b/defs/blocks.html index 69674946..f6a08310 100644 --- a/defs/blocks.html +++ b/defs/blocks.html @@ -83,7 +83,7 @@ diff --git a/defs/cal_sols.html b/defs/cal_sols.html index 0892f1d7..d064231f 100644 --- a/defs/cal_sols.html +++ b/defs/cal_sols.html @@ -83,7 +83,7 @@ diff --git a/defs/cal_sols_ao.html b/defs/cal_sols_ao.html index 2d3cc9c2..8ec98dd8 100644 --- a/defs/cal_sols_ao.html +++ b/defs/cal_sols_ao.html @@ -83,7 +83,7 @@ diff --git a/defs/cal_sols_hyp.html b/defs/cal_sols_hyp.html index cd84a77c..9e718fb1 100644 --- a/defs/cal_sols_hyp.html +++ b/defs/cal_sols_hyp.html @@ -83,7 +83,7 @@ @@ -152,8 +152,10 @@

diff --git a/defs/coords.html b/defs/coords.html new file mode 100644 index 00000000..94c67111 --- /dev/null +++ b/defs/coords.html @@ -0,0 +1,302 @@ + + + + + + Coordinate systems - mwa_hyperdrive documentation + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Coordinate systems

+

Antenna/tile/station/array coordinates

+

In measurement sets and uvfits files, antennas/tiles/stations usually have their +positions recorded in the +ITRF +frame (internally we refer to this as "geocentric XYZ"). There's also a +"geodetic XYZ" frame; an example of this is WGS +84 (which we assume +everywhere when converting, as it's the current best ellipsoid). Finally, +there's also an "East North Height" coordinate system.

+

To calculate UVW baseline coordinates, geodetic XYZ coordinates are +required1. Therefore, various coordinate conversions are required to obtain +UVWs. The conversion between all of these systems is briefly described below. +The relevant code lives within Marlu.

+

ITRF and "geocentric XYZ"

+

As the name implies, this coordinate system uses the centre of the Earth as a +reference. To convert between geocentric and geodetic, an array position is +required (i.e. the "average" location on the Earth of the instrument collecting +visibilities). When all antenna positions are geocentric, the array position is +given by the mean antenna position.

+

Measurement sets indicate the usage of ITRF with the "MEASURE_REFERENCE" keyword +attached to the POSITION column of an ANTENNA table (value "ITRF").

+

The uvfits +standard states +that only supported frame is "ITRF", and hyperdrive assumes that only ITRF is +used. However, CASA/casacore seem to write out antenna positions incorrectly; +the positions look like what you would find in an equivalent measurement set. +The incorrect behaviour is detected and accounted for.

+

"Geodetic XYZ"

+

This coordinate system is similar to geocentric, but uses an array position as +its reference.

+

Measurement sets support the WGS 84 frame, again with the "MEASURE_REFERENCE" +keyword attached to the POSITION column of an ANTENNA table (value "WGS84"). +However, hyperdrive currently does not check if geodetic positions are used; +it instead just assumes geocentric.

+

When read literally, the antenna positions in a uvfits file ("STABXYZ" column of +the "AIPS AN" HDU) should be geodetic, not counting the aforementioned +casacore bug.

+

East North Height (ENH)

+

MWA tiles positions are listed in metafits files with +the ENH coordinate system. Currently, ENH coordinates are converted to geodetic +XYZ with the following pseudocode:

+
x = -n * sin(latitude) + h * cos(latitude)
+y = e
+z = n * cos(latitude) + h * sin(latitude)
+
+

(I unfortunately don't know anything more about this system.)

+

Array positions

+

Array positions can be found with the mean geocentric antenna positions, as is +the case with measurement sets, or with the ARRAYX, ARRAYY and ARRAYZ keys +in a uvfits file. However, hyperdrive allows the user to supply a custom array +position, which will be used in any conversions between provided antenna +positions and other coordinate systems as required.

+

For raw MWA data, no array position is supplied, so we assume a location for the +MWA. This is currently:

+
    +
  • Latitude: -0.4660608448386394 radians (or −26.70331941 degrees)
  • +
  • Longitude: 2.0362898668561042 radians (or 116.6708152 degrees)
  • +
  • Height: 377.827 metres
  • +
+

Precession

+

It is often necessary to precess antenna positions to the J2000 epoch, because:

+
    +
  • Measurement sets and uvfits expect their UVWs to be specified in the J2000 epoch; and
  • +
  • Sky model source lists are expected to be specified in the J2000 epoch.
  • +
+

hyperdrive performs precession on each timestep of input visibility data to +(hopefully) get UVWs as correct as possible.

+

The process to precess geodetic XYZs is too complicated to detail here, but the +code lives within Marlu. This code is +a re-write of old MWA code, and there appears to be no references on how or why +it works; any information is greatly appreciated!

+

UVWs

+

A geodetic XYZ is converted to UVW using the following pseudocode:

+
s_ha = sin(phase_centre.hour_angle)
+c_ha = cos(phase_centre.hour_angle)
+s_dec = sin(phase_centre.declination)
+c_dec = cos(phase_centre.declination)
+
+u = s_ha * x + c_ha * y,
+v = -s_dec * c_ha * x + s_dec * s_ha * y + c_dec * z,
+w = c_dec * c_ha * x - c_dec * s_ha * y + s_dec * z,
+
+

Note that this is a UVW coordinate for an antenna. To get the proper baseline +UVW, a difference between two antennas' UVWs needs to be taken. The order of +this subtraction is important; hyperdrive uses the "antenna1 - antenna2" +convention. Software that reads data may need to conjugate visibilities if this +convention is different.

+

Further reading

+ +
1 +

If this isn't true, please file a hyperdrive issue.

+
+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + + + + + diff --git a/defs/dut1.html b/defs/dut1.html index 185d3ce4..0006932b 100644 --- a/defs/dut1.html +++ b/defs/dut1.html @@ -83,7 +83,7 @@ @@ -173,7 +173,7 @@

More explan @@ -162,7 +162,7 @@

Usage - @@ -176,7 +176,7 @@

Usage - diff --git a/user/di_cal/how_does_it_work.html b/user/di_cal/how_does_it_work.html new file mode 100644 index 00000000..1966cfc7 --- /dev/null +++ b/user/di_cal/how_does_it_work.html @@ -0,0 +1,230 @@ + + + + + + How does it work? - mwa_hyperdrive documentation + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

How does it work?

+

hyperdrive's direction-independent calibration is based off of a sky model. +That is, data visibilities are compared against "sky model" visibilities, and +the differences between the two are used to calculate antenna gains (a.k.a. +calibration solutions).

+

Here is the algorithm used to determine antenna gains in hyperdrive:

+

\[ G_{p,i} = \frac{ \sum_{q,q \neq p} D_{pq} G_{q,i-1} M_{pq}^{H}}{ \sum_{q,q \neq p} (M_{pq} G_{q,i-1}^{H}) (M_{pq} G_{q,i-1}^{H})^{H} } \]

+

where

+
    +
  • \( p \) and \( q \) are antenna indices;
  • +
  • \( G_{p} \) is the gain Jones matrix for an antenna \( p \);
  • +
  • \( D_{pq} \) is a "data" Jones matrix from baseline \( pq \);
  • +
  • \( M_{pq} \) is a "model" Jones matrix from baseline \( pq \);
  • +
  • \( i \) is the current iteration index; and
  • +
  • the \( H \) superscript denotes a Hermitian +transpose.
  • +
+

The maximum number of iterations can be changed at run time, as well as +thresholds of acceptable convergence (i.e. the amount of change in the gains +between iterations).

+

This iterative algorithm is done independently for every individual channel +supplied. This means that if, for whatever reason, part of the data's band is +problematic, the good parts of the band can be calibrated without issue.

+

StefCal? MitchCal?

+

It appears that StefCal +(as well as +MitchCal) is +no different to "antsol" (i.e. the above equation).

+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + + + + + diff --git a/user/di_cal/intro.html b/user/di_cal/intro.html index 463aa3ca..25e0e079 100644 --- a/user/di_cal/intro.html +++ b/user/di_cal/intro.html @@ -83,7 +83,7 @@ diff --git a/user/di_cal/out_calibrated.html b/user/di_cal/out_calibrated.html index 3d38ab3f..06ac80e5 100644 --- a/user/di_cal/out_calibrated.html +++ b/user/di_cal/out_calibrated.html @@ -83,7 +83,7 @@ diff --git a/user/di_cal/phases.png b/user/di_cal/phases.png index fe1eac0182e73c809b844a8c5f6601146a586157..39e1ab401e26c225bebe7695a478ad4878706417 100644 GIT binary patch literal 295907 zcma&ObyQVtw>M0;NS7kr-KB(dBe@A-(GkDp4`g6}tmB`inE!}%pv3W6MS&1r1r1ugk)P_Z*w4`R^hF=mB z@s>lx81PL^opnuQNs1GzG~e2)KVC=Ao2Gob^{wT`*gp~!YOZO#dcYFfZ&__|Kjz~) zx>#&*VT1+0_P?)^DMOV1{ug*9N{UwbzrR59|NMooD=A#&QBPNU(@aR+HK7bbjvGJs zrc1Yn(+FR^YBTIY;>fXEZ8J5Iaciut<=*{zyxc5J^6xJbrTEWp`KrHIZ?k{zdVk}9 z)U9S>VuFB-JX>WrU7~>z8$#RC0sT2NbbtCg1l@QfT|iB6Z+EgN9_inop%Mzm{P&e; 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diff --git a/user/di_cal/tutorial.html b/user/di_cal/tutorial.html index 277d59ae..f1542558 100644 --- a/user/di_cal/tutorial.html +++ b/user/di_cal/tutorial.html @@ -83,7 +83,7 @@ diff --git a/user/help.html b/user/help.html index 9a0665a0..48a7d897 100644 --- a/user/help.html +++ b/user/help.html @@ -83,7 +83,7 @@ diff --git a/user/intro.html b/user/intro.html index 074d3933..7289142a 100644 --- a/user/intro.html +++ b/user/intro.html @@ -83,7 +83,7 @@ diff --git a/user/plotting.html b/user/plotting.html index a9c10e4c..1073e5ac 100644 --- a/user/plotting.html +++ b/user/plotting.html @@ -83,7 +83,7 @@ @@ -170,7 +170,10 @@

Plot solutions< but this can be manually chosen.) It is also possible to neglect using any reference tile. With a reference tile, each tile's solutions are divided by the reference's solutions, and the resulting Jones matrix values are plotted (the -legend is indicated at the top right of each plot).

+legend is indicated at the top right of each plot). \( g_x \) is the gain on a +tile's X polarisation and \( g_y \) is the gain on a tile's Y +polarisation. \( D_x \) and \( D_y \) are the leakage terms of those +polarisations.

By default, the y-axis of amplitude plots capture the entire range of values. These plots can therefore be skewed by bad tiles; it is possible to control the range by specifying --max-amp and --min-amp.

@@ -191,7 +194,7 @@

Phases

- @@ -205,7 +208,7 @@

Phases

- diff --git a/user/solutions_apply/intro.html b/user/solutions_apply/intro.html index 8d4a58b8..0520bd69 100644 --- a/user/solutions_apply/intro.html +++ b/user/solutions_apply/intro.html @@ -83,7 +83,7 @@ @@ -175,7 +175,7 @@

Solutions app

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