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arXiv 0903.3634astro-ph.CO
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利用WMAP 5年图的线性组合估算CMB偏振和温度功率谱

CMB Polarization and Temperature Power Spectra Estimation using Linear Combination of WMAP 5-year Maps

Pramoda Kumar Samal, Rajib Saha, Jacques Delabrouille, Simon Prunet, Pankaj Jain, Tarun Souradeep

摘要:

我们估计CMB偏振和温度功率谱使用WMAP 5年前景污染的地图。该方法不直接利用扩散前景模板,也不直接利用检测器噪声模型。该方法基本上由两个步骤组成,(i)通过在谐波空间中进行个体图的线性组合来去除扩散前景污染,以及(ii)将前景清洁图互相关以最小化检测器噪声偏差。对于温度功率谱,我们也估计和减去剩余的未解决的点源污染的交叉功率谱使用的点源模型提供的WMAP科学小组。我们的$TT$、$TE$和$EE$功率谱与WMAP科学小组发表的结果吻合得很好。然而,与WMAP科学小组获得的结果相比,偏振功率谱上的误差条要小得多。我们进行详细的数值模拟,以测试我们的程序中的偏差。我们发现,在所有情况下的偏差是小的。在较早的出版物中指出了$TT$功率谱中低$l$处的负偏差。我们发现,偏置校正的四极功率($l(l+1)C_l/2π)$)为532 $μK^2$,大约是WMAP小组估计值(213.4 $μK^2$)的2.5倍。

英文摘要:

We estimate CMB polarization and temperature power spectra using WMAP 5-year foreground contaminated maps. The power spectrum is estimated by using a model independent method, which does not utilize directly the diffuse foreground templates nor the detector noise model. The method essentially consists of two steps, (i) removal of diffuse foregrounds contamination by making linear combination of individual maps in harmonic space and (ii) cross-correlation of foreground cleaned maps to minimize detector noise bias. For temperature power spectrum we also estimate and subtract residual unresolved point source contamination in the cross-power spectrum using the point source model provided by the WMAP science team. Our $TT$, $TE$ and $EE$ power spectra are in good agreement with the published results of the WMAP science team. The error bars on the polarization power spectra, however, turn out to be smaller in comparison to what is obtained by the WMAP science team. We perform detailed numerical simulations to test for bias in our procedure. We find that the bias is small in all cases. A negative bias at low $l$ in $TT$ power spectrum has been pointed in an earlier publication. We find that the bias corrected quadrupole power ($l(l+1)C_l/2π)$ is 532 $μK^2$, approximately 2.5 times the estimate (213.4 $μK^2$) made by the WMAP team.

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