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A Tapered Gridded Estimator (TGE) for the Multi-Frequency Angular Power Spectrum (MAPS) and the Cosmological HI 21-cm Power Spectrum

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arxiv 1812.08801 v1 pith:UQRWBQXL submitted 2018-12-20 astro-ph.CO

A Tapered Gridded Estimator (TGE) for the Multi-Frequency Angular Power Spectrum (MAPS) and the Cosmological HI 21-cm Power Spectrum

Somnath Bharadwaj , Srijita Pal , Samir Choudhuri , Prasun Dutta This is my paper
classification astro-ph.CO
keywords estimatorpowerspectrumdeltaestimatemapssignalable
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work we present a new approach to estimate the power spectrum $P({\bf k})$ of redshifted HI 21-cm brightness temperature fluctuations. The MAPS $C_{\ell}(\nu_a,\nu_b)$ completely quantifies the second order statistics of the sky signal under the assumption that the signal is statistically homogeneous and isotropic on the sky. Here we generalize an already existing visibility based estimator for $C_{\ell}$, namely TGE, to develop an estimator for $C_{\ell}(\nu_a,\nu_b)$. The 21-cm power spectrum is the Fourier transform of $C_{\ell}(\Delta \nu)$ with respect to $\Delta \nu=\mid \nu_a-\nu_b \mid$, and we use this to estimate $P({\bf k})$. Using simulations of $150 \, {\rm MHz}$ GMRT observations, we find that this estimator is able to recover $P(k)$ with an accuracy of $5-20 \%$ over a reasonably large $k$ range even when the data in $80 \%$ randomly chosen frequency channels is flagged.

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Cited by 4 Pith papers

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    A review chapter summarizing advances in map-making and component-separation techniques for 21-cm intensity mapping to address systematics and foreground contamination in simulations for SKA-Mid.

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