Max Tegmark's library: galpower
Figure 1: Proposed data analysis pipeline
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if you are interested in other research of mine.
Measuring the galaxy power spectrum with future redshift surveys
Max Tegmark, Andrew
Hamilton, Michael Strauss,
Michael Vogeley, Alexander
Precision measurements of the galaxy power spectrum P(k) require a data
analysis pipeline that is both fast enough to be computationally feasible
and accurate enough to take full advantage of high-quality data. We present
a rigorous discussion of different methods of power spectrum estimation,
with emphasis on traditional, Karhunen-Loeve (KL), and quadratic schemes,
showing in what approximations they give the same result. To improve speed,
we show how many of the advantages of KL power spectrum estimation may
be achieved with a computationally faster quadratic method. To improve
accuracy, we derive analytic expressions for handling the integral constraint,
since it is crucial that finite volume effects are accurately corrected
for on scales comparable to the depth of the survey. We also show that
for the KL and quadratic techniques, multiple constraints can be included
via simple matrix operations, thereby rendering the results less sensitive
to galactic extinction and misestimates of the radial selection function.
We present a data analysis pipeline that we argue does justice to the increases
in both quality and quantity of data that upcoming redshift surveys will
provide. It involves using three analysis techniques in conjunction: a
traditional Fourier approach on small scales, a pixelized quadratic matrix
method on large scales and a pixelized KL eigenmode analysis to probe anisotropic
effects such as redshift-space distortions.
ApJ, 499, 526-532 (1998), astro-ph/9709058
This site also contains the latest (non-astro/ph) versions of some papers
that are referenced in the text; Bond, Efstathiou
& Tegmark 1997, Tegmark 1995, Tegmark
1997a, Tegmark 1997b, Tegmark 1997c, Tegmark
& Bromley 1995, Tegmark & Hamilton
1997, Tegmark, Taylor & Heavens 1997.
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This page was last modified July 1, 1998.