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Re: Lomb-Scargle variant


From: Benjamin Lewis
Subject: Re: Lomb-Scargle variant
Date: Fri, 25 May 2012 13:24:56 -0400

Hi Mark,
This looks great! I'll definitely add it to the wishlist, probably near the top. I want to at least get one variant written, but this looks like a useful article overall. Thanks!
Ben
Le 2012-05-24 à 09:06, Mark Lytle a écrit :

I have been following Ben_Zen's blog and thought I'd point him to this variant of LB-SCGL:

Hi Ben,

Thought I'd pass this along, a variant of Lomb-Scargle, by M.Zechmeister at the Max-Planck Institute.  The downloadable .pdf can be found here:

http://arxiv.org/abs/0901.2573

it's also sprinkled around the web if you search on his name,

On another site that I have lost track of, but have partially printed off, he offers to give away the source code.  His email is listed as address@hidden, assuming it hasn't changed...He seems very willing to help with implementations of it...

He makes these claims for it:

"The Lomb-Scargle periodogram is a common tool in the frequency analysis of unequally spaced data equivalent to least-squares fitting of sine waves. We give an analytic solution for the generalisation to a full sine wave fit, including an offset and weights ($\chi^{2}$ fitting). Compared to the Lomb-Scargle periodogram, the generalisation is superior as it provides more accurate frequencies, is less susceptible to aliasing, and gives a much better determination of the spectral intensity. Only a few modifications are required for the computation and the computational effort is similar. Our approach brings together several related methods that can be found in the literature, viz. the date-compensated discrete Fourier transform, the floating-mean periodogram, and the "spectral significance" estimator used in the SigSpec program, for which we point out some equivalences."

Hope that's helpful,
Regards,
Mark Lytle
Houston
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