Re: Question about inflation theory

I thought I had made this clear already: the bias is not affected by
the cross-correlation process as it is in the signal proper and thus
correlated in all receivers.

No. First of all each receiver has an independent noise response as
compared to the other receivers. Secondly the technique used to
calculate the power spectrum is a cross power (not cross correlation)
between data channels with uncorrelated noise. This removes the noise
bias from the estimate of the power spectrum.

The order of the 'noise' level (i.e. the difference between the two
maps) is of the order of the amplitude of the second peak in the
spectrum, so it is not noise that can be neglected here.

The difference between the one year and three year maps is not noise,
indeed it is immediatly obvious, especially in the K and Ka band
images, that the differences majorly in the galactic plane.

Which is basically besides the point, since as you yourself mention,
the K and Ka band images (where the difference between the one and
three year data maps are the largest) aren't used in the calculation
of the power spectrum.

No, the peak in the power spectrum doesn't even have the same units as
the residuals in the difference map.

What do you mean 'not the same units'?

One is microKelvin, the other is microKelvin squared. Those aren't the
same units.

If you want to take the difference map, and then use the WMAP
algorithms to calculate a power spectra, and if *that* power spectra
had a peak at about the second acoustic peak, *THEN* you might have a
point to worry about.

On the contrary, I would have to worry about it if the difference
contains *no* peak.

That makes no sense. You claim that because the square of the
difference map amplitude is approximately the same size of a feature
in the power spectrum that indicates the feature in the power spectrum
is false.

You have not shown the 2nd acoustic peak to be a statistical
fluctuation.

I have shown it and the data show it (also the polarization data, as
already mentioned earlier in this thread (post #37 by date)).
Anyway, there is nothing that would show that it is *not* due to a
statistical fluctuation.

The error bars in Figure 16 of the three year temperature analysis by
Hinshaw show it as not being a statistical fluctionation.

As mentioned above, the integration time for each data point is merely
0.1 sec. Averaging over the data points shouldn't improve their signal
to noise ratio:

If you think that averaging data points doesn't improve signal to
noise you need a remedial course in data analysis. If you don't think
that increased exposure time improves signal to noise doesn't increase
signal to noise when you aren't limited by systematics you need a
remedial course in data analysis.


going back to the 'coin tossing' analogy used above.

Your analogy isn't relavant for photon statistics.

Anyway, my calculation is still somewhat uncertain as I don't know for
sure the frequency bandwidth of the WMAP receivers.

In about 30 seconds of looking I can find from the WMAP exploratory
suppliment that the bandwidth of the K, Ka, Q, V, and W receivers are
4, 5, 8, 13 and 19 GHz.

.

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