Cross-Power Spectrum and Its Application on Window Functions in the WMAP data

Abstract

Cross-power spectrum is a quadratic estimator between two maps that can provide unbiased estimate of the underlying power spectrum of the correlated signals, which is therefore used for extracting the power spectrum in the WMAP data. In this paper we discuss the limit of cross-power spectrum and derive the residual from uncorrelated signal, which is the source of error in power spectrum extraction. We employ the estimator to extract window functions by crossing pairs of extragalactic point sources. We desmonstrate its usefulness in WMAP Difference Assembly maps where the window functions are measured via Jupiter and then extract the window functions of the 5 WMAP frequency band maps.

added the part of applying cross power spectrum on WMAP DA maps and frequency band maps and submitted to ApJ

References in corpus (3)

• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectra
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP)Observations: Beam Maps and Window Functions

Cited by in corpus (4)

• Statistics of Bipolar Representation of CMB maps
• Environment from cross-correlations: connecting hot gas and the quenching of galaxies
• Direct measurement of the angular power spectrum of cosmic microwave background temperature anisotropies in the WMAP Data
• Excessive shift of the CMB acoustic peaks of the Cold Spot area