Talk:Spectral density estimation

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Spectral plot[edit]

I think the added text on the spectral plot has several problems. First, it does not really explain what a spectral plot is. Also, since this article is a general overview of spectral estimation techniques, perhaps the contents of of spectral plot section should be moved to a separate article. Or perhaps it should be merged with periodogram, since, according to [1], a spectral plot is "essentially a smoothed periodogram". --Zvika (talk) 07:26, 25 February 2008 (UTC)

Per the above, I have moved the information about spectral plots into periodogram, and spectral plot from a redirect to spectral density estimation to a redirect to periodogram. --Zvika (talk) 11:03, 4 April 2008 (UTC)

Power Spectrum vs Power Spectral Density[edit]

I am trying find the difference between 'power spectrum' and 'power spectral densitity'. What I came up with so far is that the spectrum is related to deterministic signals or functions whereas the spectral density concerns stochastic signals. The units of both are different as well. This article states that both are equal, which is to my current knowledge not true. Wilcolalala (talk) 12:53, 7 August 2009 (UTC)

Coverage[edit]

Our coverage of power spectrum estimation (spectral density estimation) seems very weak, with very little bringing together or contrasting the different methods, or giving historical perspective. Indeed, most articles looking for a signal processing treatment of the subject appear to have been being redirected to spectrum analyzer, about a hardware box with very little discussion of algorithms usually used in pure-software methods.

In particular, there is very little discussion of all-poles versus all-zeros methods. There appears to be nothing at all about John Parker Burg or the Burg algorithm. We have quite a detailed article on the Levinson recursion, but nothing to say that this is perhaps its most important application. Linear predictive coding appears to exist in a silo of its own, without even a link to ARMA modelling; while in turn the article on ARMA models doesn't appear to mention power spectrum estimation at all. Autoregressive model is a bit better, but doesn't give any sense how a pure AR fit is likely to compare to other fits.

It probably doesn't help that spectral analysis goes to a dab page, and the top link spectrum analysis that probably ought to be merged into spectroscopy.

This is very poor. Given the importance of this topic in signal processing and applications, we ought to be able to match at minimum the level of discussion in Numerical Recipes at least. But at the moment we're way short. Anybody out there willing to step up to the plate? Jheald (talk) 09:23, 26 May 2012 (UTC) pasted here by TSchwenn (talk) 17:08, 26 May 2012 (UTC)

Cross-posted to WT:WPSTATS, WT:WPMATH, WT:PHYSICS
You forgot to mention that spectral density has a very short section on estimation that doesn't particularly overlap with spectral density estimation in terms of specific methods mentioned. There is also Maximum entropy spectral estimation, which is incomplete, but Burg's algorithm is often described by that terminology. Further Multiple signal classification, again incomplete in terms of references, mentions several methods including Burgs's and others I don't recognise from the names (presumably the originators'). Melcombe (talk) 11:57, 26 May 2012 (UTC) pasted here from WT:WPMATH by TSchwenn (talk) 17:15, 26 May 2012 (UTC)

I agree. So go ahead and work on it. Burg is mentioned briefly at Linear_predictive_coding#Early_history_of_LPC. Dicklyon (talk) 19:10, 26 May 2012 (UTC)