Xspect, estimation of the angular power spectrum by computing cross-power spectra with analytical error bars

Abstract

We present Xspect, a method to obtain estimates of the angular power spectrum of the Cosmic Microwave Background (CMB) temperature anisotropies including analytical error bars developed for the Archeops experiment. Cross-power spectra are computed from a set of maps and each of them is in itself an unbiased estimate of the power spectrum as long as the detector noises are uncorrelated. Then, the cross-power spectra are combined into a final temperature power spectrum with error bars analytically derived from the cross-correlation matrix. This method presents three main useful properties : (1) no estimation of the noise power spectrum is needed, (2) complex weighting schemes including sky covering and map noise properties can be easily taken into account, and corrected for, for each input map, (3) error bars are quickly computed analytically from the data themselves with no Monte-Carlo simulations involved. Xspect also permits the study of common fluctuations between maps from different sky surveys such as CMB, Sunyaev-Zel'dovich effect or mass fluctuations from weak lensing observations.

12 pages, 3 figures, MNRAS

References in corpus (41)

• Maps of Dust IR Emission for Use in Estimation of Reddening and CMBR Foregrounds
• Efficient Computation of CMB anisotropies in closed FRW models
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Foreground Emission
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• MASTER of the CMB Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex CMB Data Sets
• Estimating the Power Spectrum of the Cosmic Microwave Background
• How to measure CMB power spectra without losing information
• High Resolution Observations of the CMB Power Spectrum with ACBAR
• Fast estimation of polarization power spectra using correlation functions
• Myths and Truths Concerning Estimation of Power Spectra
• Cosmological Parameters from Cosmic Background Imager Observations and Comparisons with BOOMERANG, DASI, and MAXIMA
• Multi-Detector Multi-Component spectral matching and applications for CMB data analysis
• Cosmological constraints from Archeops
• The Cosmic Microwave Background Anisotropy Power Spectrum measured by Archeops
• The Pseudo-$C_l$ method: Cosmic microwave background anisotropy power spectrum statistics for high precision cosmology
• Cosmic microwave background anisotropy power spectrum statistics for high precision cosmology
• How to measure CMB polarization power spectra without losing information
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Beam Profiles and Window Functions
• Integral Solution for the Microwave Background Anisotropies in Non-fl at Universes
• Improved Measurement of the Angular Power Spectrum of Temperature Anisotropy in the CMB from Two New Analyses of BOOMERANG Observations
• The CMB power spectrum out to l=1400 measured by the VSA
• Fast Convolution on the Sphere
• CMBFAST for spatially closed universes
• CMB in Open Inflation
• Distinguishing Causal Seeds from Inflation
• Gabor Transforms on the Sphere with Applications to CMB Power Spectrum Estimation
• Zeldovich flow on cosmic vacuum background: new exact nonlinear analytical solution
• Fast CMB Power Spectrum Estimation of Temperature and Polarisation with Gabor Transforms
• Elliptical Beams in CMB Temperature and Polarization Anisotropy Experiments: An Analytic Approach
• Window Function for Non-Circular Beam CMB Anisotropy Experiment
• Power Spectrum Estimators For Large CMB Datasets
• Harmonic analysis of cosmic microwave background data I: ring reductions and point-source catalogue
• Harmonic analysis of cosmic microwave background data II: from ring-sets to the sky
• Asymfast, a method for convolving maps with asymmetric main beams
• Concerning Parameter Estimation Using the Cosmic Microwave Background
• Recent Results from the MAXIMA Experiment
• Noise power spectrum estimation and fast map making for CMB experiments
• About the connection between the $C_{\ell }$ power spectrum of the Cosmic Microwave Background and the ${\Gamma }_m$ Fourier spectrum of rings on the sky

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