Some Noisy TOI for Monte-Carlo
date:22/06/09
Caracteristics of the data:
Data simulated @ CC
| group/runname | simupapier6 |
| bolo | 143-5 |
| nSide | 512 |
| IMO | '1127593' |
| signal name | 'cmb_gal_dipcosmo_gauss' |
| first ring | 580 |
| last ring | 13080 |
TOI of White Noise:
For ring = 13000
| TOI | histogram |
 |  |
| The fit gives: |
| reduced chisq | 0.97534885 |
| nb of DOF | 456 |
| sigma estimated | 8.1084776e-4 |
| sigma expected | 8.13548e-4 |
| error on sigma | 9.176e-07 |
| sigma_estim - sigma_exp | ~ 2.7e-06 |
The results for this fit is at more than 2-sigma from the expected value!!
To have a better estimation of the sigma_sample, more rings can be used ->see below
Estimation of Sigma_Sample on TOI of WN
Results obtained between the ring 600 and 900.
| Chi2 | Sigma | Error on Sigma | Nb of Sigma |
 |  |  |  |
The fits converge to the expected value !!!
But the error on the estimation of sigma is prone to fluctuation. One consideres that irrelevant due to numerical precision!
TOI of Noise of different caracteristics:
For ring = 13000
| | TOI (in blue) for ring 13000 | Smoothed TOI with a width of 4000 sample |
| White Noise |  |  |
| fknee=1e-4 |  |  |
| fknee=1e-3 |  |  |
| fknee=1e-2 |  |  |
| fknee=1e-1 |  |  |
- For a small fknee (~1e-4), the TOI and the Smoothed TOI is very close to the White Noise TOI.
- For a fknee around 1e-2, the variation of the average level of the TOI begin to be obvious!
So the limit is around fknee ~ 1e-3 as expected!
See MC HPR for the following of the study.
