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Figure 1: Top: cumulative histogram of 100 surface brightness over 98% of the sky (solid line): fraction of the sky with a brightness lower or equal to I100. The dashed line represent what would be expected from a cylindrical disk (cosecant law). Bottom: histogram of I100 brightness over the whole sky with bin scaled logarithmically. For both curves we used the IRIS data projected on the Healpix grid (equal area pixels - http://healpix.jpl.nasa.gov) with a pixel size of 1.7 arcmin (nside = 2048). A background of 0.78 MJy sr-1 was removed from the data to take into account the cosmic infrared background and any zodiacal light residual (Lagache et al. 2000; Hauser et al. 1998). |
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Figure 2:
Power spectrum of
a typical IRIS map (point sources removed) with its associated noise power spectrum and the estimated CIB level (convolved
by the IRAS beam). The power law at large scale (small k) is due to the Galactic
dust emission. The cutoff at ![]() |
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Figure 3:
Spectral index ![]() |
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Figure 4: Normalisation P(0.01) of the power spectrum at 0.01 arcmin-1 of each map as a function of its mean 100 brightness. The solid line is our fit to the data (see Eqs. (5) and (6)). The dashed line is the relation given by Gautier et al. (1992). |
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Figure 5:
Standard deviation as a function of the average interstellar brightness
at 100
for each map of our sample. The noise level of each map and the CIB fluctuation level
(0.09 MJy sr-1 - see Miville-Deschênes et al. 2002)
were removed quadratically from ![]() |
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Figure 6:
Left: a typical IRIS map at 100 . Center: a classical fBm map with same power spectrum as the IRIS map shown on the left.
This fBm has Gaussian brightness fluctuations at all scale and everywhere.
Right: a modified version of the classical fBm with only positive values and the same average,
standard deviation and skewness values as the IRIS map. The fBm has been modified in order to reproduce
the
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Figure 7: Cirrus noise at 100 for a 1 m diffraction limited telescope ( FHWM = 33 arcsec) as a function of I100 brightness. Solid line is our estimate and dotted line is the estimate of Helou & Beichman (1990). |
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Figure 8:
Contrast of interstellar emission: the standard deviation
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Figure 9: Wavelet decomposition of the IRIS map shown in Fig. 6-left. Top: wavelet coefficients map at scales 4, 8, 16 and 32 pixels (1 pixel = 1.5'). Bottom: Histogram of the wavelet coefficients in linear-log. A Gaussian fit to the histogram is superposed highlighting the non-Gaussian behavior. |
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Figure 10: Wavelet decomposition of the classical fBm map shown in Fig. 6-center. See Fig. 9 for details. |
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Figure 11: Skewness ( top) and Kurtosis ( bottom) of the wavelet coefficients from l=4 to 32 pixels for each IRIS map of our sample. |
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Figure 12: Wavelet decomposition of the modified fBm map shown in Fig. 6-right. See Fig. 9 for details. The histogram of the wavelet coefficients of the IRIS map are over plotted (dots) showing how well the modified fBm reproduces the observed statistics. |
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Figure 13:
Top: Histogram of all the exponent ![]() ![]() ![]() ![]() |
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