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.
Keywords
Cite
@article{arxiv.1011.6201,
title = {Cross-Power Spectrum and Its Application on Window Functions in the WMAP data},
author = {Lung-Yih Chiang and Fei-Fan Chen},
journal= {arXiv preprint arXiv:1011.6201},
year = {2015}
}
Comments
added the part of applying cross power spectrum on WMAP DA maps and frequency band maps and submitted to ApJ