Index of /group/cmb/data_release/ps/5min
This archive/directory contains the information on the power spectrum
and related data, e.g. beam filter function, Fisher matrix, that may
be necessary for using the MAXIMA-1 data (as published in Hanany et al
(2000) and Balbi et al (2000)).
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Data Files:
Cl -- bandpowers (power spectrum) and error in 10 bins (b)
[<ell>] [Bandpower <l(l+1)C_l/(2pi)>_b/uK^2] [sig_l/uK^2]
Bandpower_bin = <l(l+1)C_l/(2pi)>_bin
the error, sig_l, in each bin is calculated from the diagonal
elements of the correlation matrix, the inverse of the fisher
matrix:
sig_bin = sqrt[ (fisher^-1)_bin,bin ]
IMPORTANT NOTE: we report here unorthogonalized bandpowers,
unlike Table 2 of Hanany et al 2001. These are related by a
simple linear transformation based on the fisher matrix (file
fisher_10, below) as explained in, for example, BJK98.
FILES
-- A short summary of the various data files.
MAXIMA_1.tar
-- A tar file containing the entire contents of this director,
including this README file.
beam -- B_l, the experimental beam, convolved with the pixel window
function, as in [Wu et al]. The first entry corresponds to
to l=0, and each successive entry is for +1 in ell.
beamerr
-- fractional uncertainty in the power in each bin due to the 5
arcmin uncertainty in the beam measurement. See Wu et al 2001.
For each l bin, the columns are
<+1sig fractional err> <-1sig fractional err>
bin -- the list of l bins used in calculating the bandpower
Note that these files [bin and beam] are in the format required for
the MADCAP software package.
fisher_10
-- the fisher (inverse correlation) matrix.
it is a 10x10 symmetric matrix stored "flattened" (column or
row major).
[ units are 1/uK^2 ]
See, e.g., BJK98
summary.dat
-- information from Cl, xb and bin in a single file for ease of
use.
xb -- parameters needed for the offset lognormal ansatz for the
likelihood; see BJK00.
For each bin, the file gives x_bin in [ uK^2 ]
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Uncertainties:
In addition to the error (actually, the ensemble-average curvature of
the likelihood function) given in the file Cl, there are additional
sources of uncertainty that must be factored into any further
processing of these data:
There is an overall calibration uncertainty of 4% in Temperature
(8% in power) in all bins.
There is an uncertainty in the beam (see Wu et al 2000 for details)
+-1sigma values given in the file beamerr, due primarily to the 5
arcminute uncertainty in the size of the beam. This uncertainty
acts like an additional (asymmetric) calibration uncertainty in
each bin.
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Note:
The data are given with many more significant figures than warranted
by the error bars. the extra digits are included to ensure that
round-off error is not important and for format reasons.
----
References:
http://cfpa.berkeley.edu/group/cmb/index.html
A.Balbi et al, ``Constraints on Cosmological Parameters from
Maxima-1'' Ap.J.Lett., to appear (astro-ph/0005124).
S.Hanany et al, ``Maxima-1: A Measurement of the Cosmic Microwave
Background Anisotropy on angular scales of 10 arcminutes to 5
degrees'' Ap.J.Lett., to appear. (astro-ph/0005123).
J.H.P. Wu et al, ``Asymmetric Beams in Cosmic Microwave Background Anisotropy
Experiments'', Ap.J.Supp., to appear. (astro-ph/0007212).
[BJK98] J.R.Bond, A.H.Jaffe & L.Knox,``Estimating the Power Spectrum
of the Cosmic Microwave Background,'' Phys. Rev. D57, 2117,
1998. (astro-ph/9708203).
[BJK00] J.R.Bond, A.H.Jaffe & L.Knox, ``Radical Compression of Cosmic
Microwave Background Data,'' Astrophys. J., 533, 19-37, 2000.
(astro-ph/9808264)
[MADCAP] http://cfpa.berkeley.edu/~borrill/cmb/madcap.html