Talk:Least-squares spectral analysis

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A fact from Least-squares spectral analysis appeared on Wikipedia's Main Page in the Did you know? column on 12 October 2007.

For older versions of this Talk page, see: Talk:Least-squares spectral analysis/archive1.

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1 Archived
2 Laundry list section removed
- 2.1 Main features
3 Korenberg' s Orthogonal Search Method

[edit] Archived

Now that User:Geoeg is blocked indefinitely, it should be possible to focus on technical details and a neutral description of the technique and its history. Anyone who is interested in the acrimonious discussion we've had for the last month can check the archive. Dicklyon 15:18, 7 November 2007 (UTC)

<sigh> Thank goodness. That was hard to watch, and no doubt many times harder to be involved in. --Bob K 19:08, 7 November 2007 (UTC)

There is a RfC tag in the archive. Please remove it if comments are no longer required.Labongo 13:12, 16 November 2007 (UTC)

Done. Dicklyon 15:28, 16 November 2007 (UTC)

[edit] Laundry list section removed

I took out this section that was a list of fragments. I'll leave them here as a reminder that each item should be checked to see what can be said about it, and some sentences should be added where appropriate. If features of a method are to be added, we need to clarify which method they apply to.

[edit] Main features

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Processing any datasets, equidistant or incomplete, regardless of record length^[1]^[2]

Rigorous testing of the statistical null hypothesis^[3]

Straightforward significance level regime^[4]

Weighting of the data on a per point basis rather than on a time interval basis

Accurate simultaneous detection of field relative dynamics and eigenfrequencies^[2]

Describes fields uniquely and relatively thanks to output’s linear background noise^[2]

Removal of unwanted frequencies from a record during the processing^[1]

Removal of periodic noise from a time series with minimal distortion of the spectrum of the remaining series^[3]

Setting up of spectral resolution at will^[5]

Outputs spectra in percentage variance (var%)^[6] or decibels (dB)^[1]

^ ^a ^b ^c Pagiatakis, S. Stochastic significance of peaks in the least-squares spectrum, J of Geodesy 73, p.67-78 (1999).
^ ^a ^b ^c Omerbashich M., "Gauss–Vanicek spectral analysis of the Sepkoski compendium: no new life cycles", Pages 26-30, Computing in Science & Engineering, Volume 8, Number 4, (July-August, 2006) ISSN 1521-9615.
^ ^a ^b J. Taylor and S. Hamilton (1972-03-20). "Some tests of the Vaníček Method of spectral analysis". Astrophysics and Space Science.
^ Beard, A.G., Williams, P.J.S., Mitchell, N.J. & Muller, H.G. A special climatology of planetary waves and tidal variability, J Atm. Solar-Ter. Phys. 63 (09), p.801–811 (2001).
^ Omerbashich M. , Earth-Model Discrimination Method, pp.129, Ph.D. dissertation, University of New Brunswick, Canada (2003).
^ Vanícek P. "Approximate Spectral Analysis by Least-squares Fit", Astrophysics and Space Science, pp.387–391, Volume 4 (1969).

[edit] Korenberg' s Orthogonal Search Method

A colleague at work tried it, and this is his comment:

"my PC crashed both times I tried to run the program, and the second time hosed my windows profile such that helpdesk had to be called."

--Bob K (talk) 20:16, 6 February 2008 (UTC)

That's why I usually object when people link executable content; can't be trusted. Anyway, I tried talk at that IP editor's talk page (maybe he lost it by changing IP?), and I emailed Korenberg to ask for more info so we can represent his work properly, and I did some more reading and searching and found another variant, Chen & Donoho's "basis pursuit" method. So looks like this article has some room to grow still, with newer and/or rediscovered variants; we just have to understand the literature better first. Dicklyon (talk) 01:45, 7 February 2008 (UTC)

I got a note back from Mike Korenberg with some papers and explanations of his method. I'll definitely work on a writeup of it, probaby using some of what I took out before. Also the Chen & Donoho, I think. Both have advantages. Dicklyon (talk) 05:20, 7 February 2008 (UTC)