 |
Cosmic Background Imager |
Supplementary Data
Here we present supplementary numerical data that were not included
in the papers reporting the CBI results from the 2000 observing
season. If you use these data in a publication, please cite the
appropriate papers and also give the URL of this web page and the
date of publication (given at the bottom of this page).
Band powers for the joint (3-field) deep data set are given in
Table 3. There are two alternate binnings of the power spectrum, which
are not independent.
- Standard binning: 7 bins, l = 0-500, 500-880, 880-1445,
1445-2010, 2010-2388, 2388-3000, and > 3000.
- Alternate binning: 6 bins, l = 0-690, 690-1162, 1162-1728,
1728-2199, 2199-2694, and > 2694.
- We also combined the highest 3 bins of the standard binning into a
"big bin" 2010 < l.
The upper limit on l in
all the binnings is set by the data to ~ 4000.
Band Power Window Functions
Window functions are given in Mason et
al. Fig. 2. The file deep_windows.tar.gz (compressed tar
file) contains 14 files, one for each band:
- joint_3deep_std2_best_window_* (7 files).
- joint_3deep_alt2_best_window_* (6 files).
- joint_3deep_bigbin_best_window_5 (1 file).
The window functions are tabulated in bins of width 90 in l, i.e.,
l = 1-90, 91-180, ...; and the tabulated values should be
divided by 90 to get the quantity plotted,
WB(l)/l.
Parameter Covariance Matrices
The file deep.tar.gz (compressed tar file)
contains 9 files, 3 each for the standard, alternate, and "big" binnings:
joint_3deep_alt2_best_invfish
joint_3deep_alt2_best_otherps
joint_3deep_alt2_best_qb
joint_3deep_bigbin_best_invfish
joint_3deep_bigbin_best_otherps
joint_3deep_bigbin_best_qb
joint_3deep_std2_best_invfish
joint_3deep_std2_best_otherps
joint_3deep_std2_best_qb
These files should be interpreted as follows:
- qb file
- There are 7 (std2) or 6 (alt2) entries, one for each band. Column 1 is the band number; column 2 is the band power qB, and column 3 is the
uncertainty on the band power (square root of the diagonal element of the covariance matrix). Band powers are dimensionless; multiply by Tcmb2 to put them in temperature units.
- invfish file
- Ignore the first 6 lines in this file. The first 7 (std2) or 6 (alt2) columns of the next 7 (std2) or 6 (alt2) lines give the
7 by 7 or 6 by 6 band-power covariance matrix. This is the inverse of the curvature (Hessian) matrix
as given in equation 75 of Myers et al., and it can be used directly to give a gaussian approximation to the likelihood function.
- otherps file
- It is better to use an offset lognormal approximation to the likelihood function (Sievers et al., equation 2), for which you need the offsets qNtB. The offsets are given in the otherps file, which contains 7 (or 6) entries, one for each bin. There are 4 columns giving the component band-powers for noise and discrete sources. You should add all four components to get the required band-power offset.
Band powers for the joint (3 field) mosaic data set are given in
Table 2. A small fraction of the data are common with the deep data
set (see the papers). There are again two alternate binnings of the
power spectrum, which are not independent; in both the bin
width is 200 in l except for the first bin.
- Even binning: 14 bins: l = 0-400, 400-600, 600-800, ...,
2800-3000.
- Odd binning: 14 bins: l = 0-300, 300-500, 500-700, ...,
2700-2900.
Band Power Window Functions
Window functions are given in Pearson
et al. Fig. 11. The file mosaic_windows.tar.gz (compressed tar
file) contains 28 files, one for each band:
- joint_window_iso_0.08_200_even_deep_3level_feb_window_* (14 files).
- joint_window_iso_0.08_200_odd_deep_3level_feb_window_* (14 files).
The window functions are tabulated in bins of width 25 in l,
with the first bin starting at l = 101, i.e.,
l = 101-125, 126-150, ...; and the tabulated values should be
divided by 25 to get the quantity plotted,
WB(l)/l.
Parameter Covariance Matrices
The file mosaic.tar.gz (compressed tar file)
contains 6 files, 3 each for the odd and even binnings:
joint_final_iso_0.08_200_even_invfish
joint_final_iso_0.08_200_even_otherps
joint_final_iso_0.08_200_even_qb
joint_final_iso_0.08_200_odd_invfish
joint_final_iso_0.08_200_odd_otherps
joint_final_iso_0.08_200_odd_qb
These files should be interpreted as follows:
- qb file
- There are 16 entries, one for each band; ignore the bands numbered 15 and 16. Column 1 is the band number; column 2 is the band power qB, and column 3 is the
uncertainty on the band power (square root of the diagonal element of the covariance matrix). Band powers are dimensionless; multiply by Tcmb2 to put them in temperature units (as given in Table 2 of Pearson et al.).
- invfish file
- Ignore the first 6 lines in this file. The first 14 columns of the next 14 lines give the
14 by 14 band-power covariance matrix.
This is the inverse of the curvature (Hessian) matrix
as given in equation 75 of Myers et al., and it can be used directly to give a gaussian approximation to the likelihood function.
- otherps file
- It is better to use an offset lognormal approximation to the likelihood function (Sievers et al., equation 2), for which you need the offsets qNtB. The offsets are given in the otherps file, which contains 16 entries, one for each bin; ignore bins 15 and 16. There are 4 columns giving the component band-powers for noise and discrete sources. You should add all four components to get the required band-power offset.
Last update: 2002 August 8.
CBI home page
