# Overall internal validation

The overall internal validation of the frequency maps is performed thanks to several tests:

- difference between the PR2 (2015) and PR3 (2018) frequency maps,
- survey difference maps for the PR2 and the PR3 frequency maps,
- spectra of the PR2 and the PR3 data splits,
- comparison of the FFP10 simulations and the PR3 data.

**Frequency maps for the PR2 and the PR3 and their difference**

This table shows the PR2 and PR3 maps and their differences in I, Q, and U. This table is complementary of the figure in Planck-2018-l03^{[1]} (see detailled explanations there).

**Survey difference maps for the PR2 and the PR3 data**

This table shows the PR2 and PR3 survey difference maps ((S1+S3)-(S2+S4))in I, Q, and U. This table is taken from Planck-2018-l03^{[1]} (see detailled explanations there).

PR2 survey difference maps | PR3 survey difference maps | |||||
---|---|---|---|---|---|---|

I | Q | U | I | Q | U | |

100 GHz | ||||||

143 GHz | ||||||

217 GHz | ||||||

353 GHz | ||||||

545 GHz | . | . | . | . | ||

857 GHz | . | . | . | . |

**Spectra of the PR2 and the PR3 data splits**

This figure shows the *EE* and *BB* spectra of the PR2 and PR3 detset, half-mission and rings (for PR3 only) maps at 100, 143, 217, and 353 GHz. The auto-spectra of the difference maps and the cross-spectra between the maps are shown. The sky fraction used here is 43 %. The bins are: bin=1 for [math]2\leq\ell\lt 30[/math]; bin=5 for [math]30\leq\ell\lt 50[/math]; bin=10 for [math]50\leq\ell\lt 160[/math]; bin=20 for [math]160\leq\ell\lt 1000[/math]; and bin=100 for [math]\ell\gt 1000[/math]. This figure is taken from Planck-2018-l03^{[1]} (see detailled explanations there).

**Comparison of the FFP10 simulated noise and systematic residuals and the PR3 data**

This figure shows the noise and systematic residuals in *TT*, *EE*, *BB*, and *EB* spectra, at the three CMB frequencies, for difference maps of the ring (red) and half-mission (blue) null tests binned by [math]\Delta \ell =10[/math]. Data spectra are represented by thick lines, and the averages of simulations by thin black lines. For the simulations, we show the 16 % and 84 % quantiles of the distribution with the same colours. This figure is taken from Planck-2018-l03^{[1]} (see detailled explanations there).

## References[edit]

- ↑
^{1.0}^{1.1}^{1.2}^{1.3}**Planck 2018 results. III. High Frequency Instrument data processing and frequency maps**, Planck Collaboration, accepted by A&A, (2018).

Cosmic Microwave background