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Discussion of Problem 1704. Demodulation

Fyodor Menshikov Hints [5] // Problem 1704. Demodulation 21 Apr 2009 21:30
1. Minimize sum of squares of differences, not sum of absolute values of differences.

2. It is important, that constant AMP (amplitude) is the same for all bits.

3. There is no test with negative amplitude.
svr Re: Hints [1] // Problem 1704. Demodulation 28 Oct 2009 17:35
Hint should be:
notion of appropriate statistical processing:
extracting a and b in a+b*k from noise
Or
MNK
Or
sequental analysis
Or
maching learning
Or
optimal decision theory
What artical in Wikpedia should read?
Pavel Atnashev Re: Hints // Problem 1704. Demodulation 10 Nov 2009 12:39
Alipov Vyacheslav [Tomsk PU] Re: Hints [2] // Problem 1704. Demodulation 22 Jul 2010 01:48
Would you be so kind to give the slightly more detailed description of your solution?
I tried to used DFT but it seems to be too sensitive to noise.

I heard of Arctan-Differentiated Demodulator, but I can't find the literature on this theme. Does anybody know, is it applicable here?
Vedernikoff Sergey (HSE: АОП) Re: Hints [1] // Problem 1704. Demodulation 23 Jul 2010 02:29
Use OLS (ordinary least squares) estimator for this problem
Alipov Vyacheslav [Tomsk PU] Re: Hints // Problem 1704. Demodulation 23 Jul 2010 19:55
Thanks a lot. I've never used this method before. But it's worth keeping in mind :)