CASA <17>: 2 * 1.3806488e-23 * 46.35 * 1e26 / (.95*.88*.75*pi*6**2) / (630 * 2.6676 * 15.625e6 * 2 * 5.039*60)**0.5 Out[17]: 0.0004529This value is within 1% of the achieved rms in a single channel! (see Test 1 below)
Nchan | Channels | SNR | St.Dev. (sigma) in 2 boxes (mJy/beam) | Mean sigma (mJy/beam) | Ratio: mean_sigma_1/mean_sigma_N | Ratio^2 | Richard's prediction for effective BW | Richard's prediction for Ratio^2 | Error in Richard's prediction | Sigma_image prediction (mJy/b) | Error in Sigma_image equation prediction |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | 63~63 | 1051 | 0.4373, 0.4607 | 0.4490 | 1.000 | 1.000 | 2.667 | 1.000 | n/a | 0.4529 | +0.8% |
2 | 63~64 | 1134 | 0.4052, 0.4186 | 0.4119 | 1.090 | 1.188 | 3.200 | 1.200 | +1.0% | 0.4135 | +0.4% |
4 | 61~64 | 1378 | 0.3323, 0.3399 | 0.3361 | 1.336 | 1.785 | 4.923 | 1.846 | +3.4% | 0.3334 | -0.8% |
8 | 59~66 | 1778 | 0.2572, 0.2575 | 0.2573 | 1.745 | 3.045 | 8.828 | 3.310 | +8.7% | 0.2490 | -3.2% |
16 | 55~70 | 2405 | 0.1914, 0.1880 | 0.1897 | 2.367 | 5.602 | n/a (16) | n/a (6.0) | n/a | 0.1849 | -2.5% |
Nchan | Channels | SNR | St.Dev. (sigma) | Ratio: sigma_1/sigma_N | Ratio^2 | Richard's prediction for Ratio^2 | Error in prediction |
---|---|---|---|---|---|---|---|
7x1 | 30,40,50,60,70,80,90 | 2519 | 0.1819 | 1.000 | 1.000 | 1.000 | n/a |
7x2 | 30~31,40~41, etc. | 2802 | 0.1635 | 1.113 | 1.238 | 1.200 | -3.1% |
7x4 | 30~33,40~43, etc. | 3446 | 0.1330 | 1.368 | 1.871 | 1.846 | -1.3% |
7x8 | 30~37,40~47, etc. | 4360 | 0.1050 | 1.732 | 3.001 | 3.310 | +10% |
Nchan | Channels | SNR | St.Dev. (sigma) in two boxes | Mean sigma | Ratio: mean_sigma_1/mean_sigma_N | Ratio^2 | Richard's prediction for Ratio^2 | Percent error in prediction |
---|---|---|---|---|---|---|---|---|
7x1 | 28,39,50,61,72,83,94 | 2603 | 0.1761, 0.1772 | 0.17665 | 1.000 | 1.000 | 1.000 | n/a |
7x2 | 28~29,39~40, etc. | 2874 | 0.1595, 0.1605 | 0.16000 | 1.104 | 1.219 | 1.200 | -1.6% |
7x4 | 28~31,39~42, etc. | 3516 | 0.1303, 0.1255 | 0.12790 | 1.381 | 1.908 | 1.846 | -3.2% |
7x8 | 28~35,39~46, etc. | 4340 | 0.1056, 0.0999 | 0.10275 | 1.719 | 2.956 | 3.310 | +12% |
WindowFctn name medianRatioToUniform HillsPredict PercentError Blackmann_Harris 3.340 3.877 16 Uniform 1.000 1.000 0 Hanning 2.283 2.667 17 Hamming 2.057 2.516 22 Bartlett 2.558 3.000 17 Blackmann 2.597 3.283 26 Welch 1.504 1.874 25 ------------------------------------------------------------------------------------------------------- WindowFctn name Spw Pol medianWt ratioToUniform HillsPredict PercentError Blackmann_Harris 1 0 114548 3.471 3.877 12 Uniform 1 0 33001 1.000 1.000 0 Hanning 1 0 74850 2.268 2.667 18 Hamming 1 0 68333 2.071 2.516 22 Bartlett 1 0 85791 2.600 3.000 15 Blackmann 1 0 92254 2.795 3.283 17 Welch 1 0 49520 1.501 1.874 25 Blackmann_Harris 1 1 92488 3.210 3.877 21 Uniform 1 1 28817 1.000 1.000 0 Hanning 1 1 49105 1.704 2.667 57 Hamming 1 1 46728 1.622 2.516 55 Bartlett 1 1 61150 2.122 3.000 41 Blackmann 1 1 60574 2.102 3.283 56 Welch 1 1 36431 1.264 1.874 48 Blackmann_Harris 3 0 98516 2.328 3.877 67 Uniform 3 0 42320 1.000 1.000 0 Hanning 3 0 82184 1.942 2.667 37 Hamming 3 0 81057 1.915 2.516 31 Bartlett 3 0 97835 2.312 3.000 30 Blackmann 3 0 98124 2.319 3.283 42 Welch 3 0 61203 1.446 1.874 30 Blackmann_Harris 3 1 11021 3.886 3.877 -0 Uniform 3 1 2836 1.000 1.000 0 Hanning 3 1 7111 2.507 2.667 6 Hamming 3 1 6566 2.315 2.516 9 Bartlett 3 1 9088 3.204 3.000 -6 Blackmann 3 1 8584 3.026 3.283 8 Welch 3 1 5170 1.823 1.874 3 Blackmann_Harris 5 0 55353 2.985 3.877 30 Uniform 5 0 18542 1.000 1.000 0 Hanning 5 0 42622 2.299 2.667 16 Hamming 5 0 37888 2.043 2.516 23 Bartlett 5 0 46666 2.517 3.000 19 Blackmann 5 0 44479 2.399 3.283 37 Welch 5 0 27954 1.508 1.874 24 Blackmann_Harris 5 1 26167 2.485 3.877 56 Uniform 5 1 10529 1.000 1.000 0 Hanning 5 1 18857 1.791 2.667 49 Hamming 5 1 18868 1.792 2.516 40 Bartlett 5 1 21179 2.012 3.000 49 Blackmann 5 1 17728 1.684 3.283 95 Welch 5 1 12621 1.199 1.874 56 Blackmann_Harris 7 0 21292 4.318 3.877 -10 Uniform 7 0 4931 1.000 1.000 0 Hanning 7 0 13569 2.752 2.667 -3 Hamming 7 0 14214 2.883 2.516 -13 Bartlett 7 0 25034 5.077 3.000 -41 Blackmann 7 0 18188 3.688 3.283 -11 Welch 7 0 11317 2.295 1.874 -18 Blackmann_Harris 7 1 20843 6.748 3.877 -43 Uniform 7 1 3089 1.000 1.000 0 Hanning 7 1 11000 3.562 2.667 -25 Hamming 7 1 9306 3.013 2.516 -17 Bartlett 7 1 15170 4.912 3.000 -39 Blackmann 7 1 14787 4.788 3.283 -31 Welch 7 1 6827 2.210 1.874 -15
Nchan | Channels | Peak (Jy/b) | Sigma in annulus (Jy) |
SNR | Sigma Ratio (Sigma1/SigmaN) |
Ratio^2 | Richard's prediction for Ratio^2 |
Sigma discrepancy |
SigmaAsens Corrected (Jy) |
SigmaAsens Discrepancy |
---|---|---|---|---|---|---|---|---|---|---|
1 | 63~63 | 1.03873 | 0.00566 | 183.39 | 1.0000 | 1.0000 | 1.0000 | 0.00553 | 2.47% | |
2 | 63~64 | 1.04018 | 0.00489 | 212.57 | 1.1575 | 1.3399 | 1.2000 | -5.36% | 0.00505 | -3.01% |
4 | 61~64 | 1.03764 | 0.00404 | 256.56 | 1.4005 | 1.9614 | 1.8460 | -2.99% | 0.00407 | -0.56% |
8 | 59~66 | 1.03584 | 0.00310 | 333.92 | 1.8259 | 3.3340 | 3.3100 | -0.36% | 0.00304 | 2.14% |
16 | 55~70 | 1.03385 | 0.00245 | 422.51 | 2.3148 | 5.3583 | n/a (6.0) | 5.82% | 0.00226 | 8.37% |
Nchan | Channels | Peak (Jy/b) | Sigma in annulus (Jy/b) |
SNR | Sigma Ratio (Sigma1/SigmaN) |
Ratio^2 | Richard's prediction for Ratio^2 |
Sigma discrepancy |
SigmaAsens Corrected (Jy/b) |
SigmaAsens Discrepancy |
---|---|---|---|---|---|---|---|---|---|---|
1 | 20~20;34~34;48~48;62~62;76~76;90~90 | 1.03008 | 0.00241 | 427.99 | 1.0000 | 1.0000 | 1.0000 | 0.00368 | -34.67% | |
2 | 20~21;34~35;48~49;62~63;76~77;90~91 | 1.02895 | 0.00178 | 578.58 | 1.3534 | 1.8316 | 1.2000 | -19.06% | 0.00260 | -31.73% |
4 | 20~23;34~37;48~51;62~65;76~79;90~93 | 1.02915 | 0.00145 | 712.03 | 1.6652 | 2.7729 | 1.8460 | -18.41% | 0.00185 | -21.72% |
8 | 20~27;34~41;48~55;62~69;76~83;90~97 | 1.02970 | 0.00144 | 714.23 | 1.6694 | 2.7870 | 3.3100 | 8.98% | 0.00131 | 10.41% |
Nchan | Channels | Peak (Jy/b) | Sigma in annulus (Jy) |
SNR | Sigma Ratio (Sigma1/SigmaN) |
Ratio^2 | Richard's prediction for Ratio^2 |
Sigma discrepancy |
SigmaAsens Corrected (Jy) |
SigmaAsens Discrepancy |
---|---|---|---|---|---|---|---|---|---|---|
1 | 63~63 | 0.07653 | 0.00450 | 17.01 | 1.0000 | 1.0000 | 1.0000 | 0.00461 | -2.33% | |
2 | 63~64 | 0.08113 | 0.00406 | 20.01 | 1.1094 | 1.2308 | 1.2000 | -1.26% | 0.00421 | -3.56% |
4 | 61~64 | 0.07764 | 0.00324 | 23.94 | 1.3871 | 1.9241 | 1.8460 | -2.05% | 0.00339 | -4.33% |
8 | 59~66 | 0.08166 | 0.00257 | 31.80 | 1.7518 | 3.0688 | 3.3100 | 3.86% | 0.00253 | 1.44% |
16 | 55~70 | 0.08073 | 0.00205 | 39.39 | 2.1952 | 4.8190 | n/a (6.0) | 11.58% | 0.00188 | 8.84% |
Nchan | Channels | Peak (Jy/b) | Sigma in annulus (Jy/b) |
SNR | Sigma Ratio (Sigma1/SigmaN) |
Ratio^2 | Richard's prediction for Ratio^2 |
Sigma discrepancy |
SigmaAsens Corrected (Jy/b) |
SigmaAsens Discrepancy |
---|---|---|---|---|---|---|---|---|---|---|
1 | 20~20;34~34;48~48;62~62;76~76;90~90 | 0.07890 | 0.00194 | 40.76 | 1.0000 | 1.0000 | 1.0000 | 0.00307 | -36.97% | |
2 | 20~21;34~35;48~49;62~63;76~77;90~91 | 0.07832 | 0.00179 | 43.69 | 1.0796 | 1.1656 | 1.2000 | 1.46% | 0.00217 | -17.51% |
4 | 20~23;34~37;48~51;62~65;76~79;90~93 | 0.07814 | 0.00153 | 51.20 | 1.2683 | 1.6086 | 1.8460 | 7.13% | 0.00154 | -0.81% |
8 | 20~27;34~41;48~55;62~69;76~83;90~97 | 0.07782 | 0.00118 | 65.70 | 1.6342 | 2.6707 | 3.3100 | 11.33% | 0.00109 | 9.00% |
Nchan | Channels | Peak (Jy/b) | Sigma in annulus (Jy) |
SNR | Sigma Ratio (Sigma1/SigmaN) |
Ratio^2 | Richard's prediction for Ratio^2 |
Sigma discrepancy |
SigmaAsens Corrected (Jy) |
SigmaAsens Discrepancy |
---|---|---|---|---|---|---|---|---|---|---|
1 | 63~63 | 0.04119 | 0.00987 | 4.17 | 1.0000 | 1.0000 | 1.0000 | 0.01013 | -2.57% | |
2 | 63~64 | 0.03948 | 0.00844 | 4.68 | 1.1700 | 1.3689 | 1.2000 | -6.37% | 0.00925 | -8.78% |
4 | 61~64 | 0.02603 | 0.00685 | 3.80 | 1.4405 | 2.0750 | 1.8460 | -5.68% | 0.00747 | -8.26% |
8 | 59~66 | 0.02140 | 0.00494 | 4.33 | 1.9975 | 3.9901 | 3.3100 | -8.92% | 0.00559 | -11.53% |
16 | 55~70 | 0.01566 | 0.00382 | 4.10 | 2.5862 | 6.6885 | 6.0000 | -5.29% | 0.00414 | -7.79% |
Nchan | Channels | Peak (Jy/b) | Sigma in annulus (Jy) |
SNR | Sigma Ratio (Sigma1/SigmaN) |
Ratio^2 | Richard's prediction for Ratio^2 |
Sigma discrepancy |
SigmaAsens Corrected (Jy) |
SigmaAsens Discrepancy |
---|---|---|---|---|---|---|---|---|---|---|
1 | 20~20;34~34;48~48;62~62;76~76;90~90 | 0.01289 | 0.00425 | 3.04 | 1.0000 | 1.0000 | 1.0000 | 0.00691 | -38.60% | |
2 | 20~21;34~35;48~49;62~63;76~77;90~91 | 0.01160 | 0.00382 | 3.03 | 1.1111 | 1.2346 | 1.2000 | -1.41% | 0.00491 | -22.12% |
4 | 20~23;34~37;48~51;62~65;76~79;90~93 | 0.00856 | 0.00305 | 2.81 | 1.3932 | 1.9409 | 1.8460 | -2.47% | 0.00347 | -12.24% |
8 | 20~27;34~41;48~55;62~69;76~83;90~97 | 0.00746 | 0.00226 | 3.30 | 1.8814 | 3.5395 | 3.3100 | -3.30% | 0.00246 | -8.35% |
Nchan | Channels | Peak (Jy/b) | Sigma in annulus (Jy) |
SNR | Sigma Ratio (Sigma1/SigmaN) |
Ratio^2 | Richard's prediction for Ratio^2 |
Sigma discrepancy |
SigmaAsens Corrected (Jy) |
SigmaAsens Discrepancy |
---|---|---|---|---|---|---|---|---|---|---|
1 | 63~63 | 3.44665 | 0.01727 | 199.58 | 1.0000 | 1.0000 | 1.0000 | 0.01267 | 36.29% | |
2 | 63~64 | 3.45214 | 0.01433 | 240.84 | 1.2048 | 1.4516 | 1.2000 | -9.08% | 0.01157 | 23.91% |
4 | 61~64 | 3.46646 | 0.01677 | 206.71 | 1.0298 | 1.0605 | 1.8460 | 31.94% | 0.00933 | 79.81% |
8 | 59~66 | 3.46920 | 0.01356 | 255.88 | 1.2737 | 1.6224 | 3.3100 | 42.83% | 0.00696 | 94.66% |
16 | 55~70 | 3.46731 | 0.01158 | 299.39 | 1.4912 | 2.2236 | n/a (6.0) | 64.27% | 0.00517 | 123.86% |
Nchan | Channels | Peak (Jy/b) | Sigma in annulus (Jy) |
SNR | Sigma Ratio (Sigma1/SigmaN) |
Ratio^2 | Richard's prediction for Ratio^2 |
Sigma discrepancy |
SigmaAsens Corrected (Jy) |
SigmaAsens Discrepancy |
---|---|---|---|---|---|---|---|---|---|---|
1 | 20~20;34~34;48~48;62~62;76~76;90~90 | 3.45521 | 0.00784 | 440.76 | 1.0000 | 1.0000 | 1.0000 | 0.00668 | 17.37% | |
2 | 20~21;34~35;48~49;62~63;76~77;90~91 | 3.45364 | 0.00683 | 505.69 | 1.1478 | 1.3175 | 1.2000 | -4.56% | 0.00472 | 44.61% |
4 | 20~23;34~37;48~51;62~65;76~79;90~93 | 3.45336 | 0.00735 | 469.87 | 1.0666 | 1.1377 | 1.8460 | 27.38% | 0.00334 | 120.09% |
8 | 20~27;34~41;48~55;62~69;76~83;90~97 | 3.46488 | 0.00542 | 639.58 | 1.4470 | 2.0939 | 3.3100 | 25.73% | 0.00236 | 129.34% |
Nchan | Channels | Peak (Jy/b) | Sigma in annulus (Jy) |
SNR | Sigma Ratio (Sigma1/SigmaN) |
Ratio^2 | Richard's prediction for Ratio^2 |
Sigma discrepancy |
SigmaAsens Corrected (Jy) |
SigmaAsens Discrepancy |
---|---|---|---|---|---|---|---|---|---|---|
1 | 63~63 | 0.74612 | 0.01859 | 40.13 | 1.0000 | 1.0000 | 1.0000 | 0.01267 | 46.74% | |
2 | 63~64 | 0.74688 | 0.01836 | 40.67 | 1.0125 | 1.0251 | 1.2000 | 8.20% | 0.01157 | 58.75% |
4 | 61~64 | 0.75373 | 0.01471 | 51.22 | 1.2637 | 1.5968 | 1.8460 | 7.52% | 0.00933 | 57.77% |
8 | 59~66 | 0.75689 | 0.01113 | 68.00 | 1.6705 | 2.7905 | 3.3100 | 8.91% | 0.00696 | 59.82% |
16 | 55~70 | 0.75894 | 0.00878 | 86.47 | 2.1185 | 4.4882 | 6.0000 | 15.62% | 0.00517 | 69.65% |
Nchan | Channels | Peak (Jy/b) | Sigma in annulus (Jy) |
SNR | Sigma Ratio (Sigma1/SigmaN) |
Ratio^2 | Richard's prediction for Ratio^2 |
Sigma discrepancy |
SigmaAsens Corrected (Jy) |
SigmaAsens Discrepancy |
---|---|---|---|---|---|---|---|---|---|---|
1 | 63~63 | 0.74645 | 0.01764 | 42.32 | 1.0000 | 1.0000 | 1.0000 | 0.01091 | 61.74% | |
2 | 63~64 | 0.74701 | 0.01777 | 42.03 | 0.9924 | 0.9849 | 1.2000 | 10.38% | 0.00995 | 78.55% |
4 | 61~64 | 0.75398 | 0.01401 | 53.82 | 1.2591 | 1.5853 | 1.8460 | 7.91% | 0.00803 | 74.57% |
8 | 59~66 | 0.75697 | 0.01085 | 69.74 | 1.6251 | 2.6409 | 3.3100 | 11.95% | 0.00599 | 81.13% |
16 | 55~70 | 0.75894 | 0.00871 | 87.09 | 2.0242 | 4.0973 | 6.0000 | 21.01% | 0.00445 | 95.77% |
Nchan | Channels | Peak (Jy/b) | Sigma in annulus (Jy) |
SNR | Sigma Ratio (Sigma1/SigmaN) |
Ratio^2 | Richard's prediction for Ratio^2 |
Sigma discrepancy |
SigmaAsens Corrected (Jy) |
SigmaAsens Discrepancy |
---|---|---|---|---|---|---|---|---|---|---|
1 | 63~63 | 0.03368 | 0.01043 | 3.23 | 1.0000 | 1.0000 | 1.0000 | 0.01009 | 3.33% | |
2 | 63~64 | 0.03017 | 0.00978 | 3.08 | 1.0657 | 1.1358 | 1.2000 | 2.79% | 0.00921 | 6.20% |
4 | 61~64 | 0.02777 | 0.00808 | 3.44 | 1.2900 | 1.6642 | 1.8460 | 5.32% | 0.00743 | 8.82% |
8 | 59~66 | 0.02178 | 0.00613 | 3.56 | 1.7017 | 2.8956 | 3.3100 | 6.92% | 0.00555 | 10.47% |
16 | 55~70 | 0.01612 | 0.00444 | 3.63 | 2.3463 | 5.5049 | 6.0000 | 4.40% | 0.00412 | 7.87% |
Nchan | Channels | Peak (Jy/b) | Sigma in annulus (Jy) |
SNR | Sigma Ratio (Sigma1/SigmaN) |
Ratio^2 | Richard's prediction for Ratio^2 |
Sigma discrepancy |
SigmaAsens Corrected (Jy) |
SigmaAsens Discrepancy |
---|---|---|---|---|---|---|---|---|---|---|
1 | 20~20;34~34;48~48;62~62;76~76;90~90 | 0.02298 | 0.00576 | 3.99 | 1.0000 | 1.0000 | 1.0000 | 0.00532 | 8.36% | |
2 | 20~21;34~35;48~49;62~63;76~77;90~91 | 0.01774 | 0.00478 | 3.71 | 1.2052 | 1.4524 | 1.2000 | -9.10% | 0.00376 | 27.16% |
4 | 20~23;34~37;48~51;62~65;76~79;90~93 | 0.01230 | 0.00338 | 3.64 | 1.7070 | 2.9139 | 1.8460 | -20.41% | 0.00266 | 26.96% |
8 | 20~27;34~41;48~55;62~69;76~83;90~97 | 0.00674 | 0.00227 | 2.97 | 2.5421 | 6.4622 | 3.3100 | -28.43% | 0.00188 | 20.56% |
I | Attachment | Action | Size | Date | Who | Comment |
---|---|---|---|---|---|---|
txt | analyze.py.txt | manage | 2 K | 2015-08-05 - 00:10 | ToddHunter | |
txt | clean.py.txt | manage | 3 K | 2016-02-19 - 11:04 | ToddHunter | script used for the BL correlator imaging test |