1.  planck data

• Three methods :
  • N-R = Newton Rwphson Likelihood using the full covariance 3 \times 2 \times npix matrix (CMB + noise)
  • xLR : cross linear regression using the full covariance 2 \times npix matrix (CMB + noise)
  • oLR : ordinary linear regression, map pre-smoothed by a 3° fwhm beam.
• Maps pre-downgrading :
  • loaded at nside 2048
  • smoothed by a cosine beam
    • b_\ell = 1 \quad \ell \leq \ell_1,
    • b_\ell = 0.5(1 + \cos((\ell-\ell_1) \pi/(\ell_2 - \ell_1))] \quad \ell_1 < \ell \leq \ell_2,
    • b_\ell = 0 \quad \ell_2 < \ell
  • downgraded at nside 16
• There is two types of dataset-split : half mission, and odd/even rings
• For each dataset split, there is 8 possible combinations to estimate the coefficient.
  • P1 or P2 are the map to clean
  • D1 or D2 are the 353GHz dust template
  • S1 or S2 are the 30GHz synchrotron template
• We consider four masks : from fsky=0.9 to fsky=0.5
• Two types of error-bar :
  • smaller ones computed from simulation with noise generated from planck cov maps
  • bigger ones computed from simulation with public planck noise including sistematics.

1.1  alpha VS freq ; full by full

• error-bars (not shown) are as large as the dots

1.2  cleaning full by full, no noise weighting, then noise weighting

white noise simus
planck ffp10 noise simus
planck data

1.3  cleaning full by full. No noise weighting

planck data

simus (FFP10, white noise)

1.4  cleaning split by split (hm111)

simus (FFP10, white noise)
planck hm data
planck oe data

1.5  cleaning full by split

planck data

2.  Old results (no more actual !) :

2.1  Full

2 coeff

1 coeff

2.2  oe / hm

MLE

2 coeffs

1 coeff

xnLR

s3oLR

3.  old

3.1  Hm and oe

Methods	70 hm	70 oe	100 hm	100 oe	143 hm	143 oe	217 hm	217 oe
N-R
xnLR
sLR

3.2  full

4.  simulations generated from planck cov maps

• 143 seesm biased on simulations. Do not known why. (pySM models ? )
• N-R performs best !
• grey bands indicate 1, 2, and 3 sigma dispersion of the input coeffidients maps (from pySM) \alpha(\hat n)

4.1  Hm and oe

N-R
xnLR
sLR

4.2  full

5.  public planck simulations

5.1  Hm and oe

N-R
xnLR
sLR

5.2  full