Least Squares Spectral Analysis Algorithm: Difference between revisions
Jump to navigation
Jump to search
(Created page with "<B>See:</B> Least Squares Estimation Algorith, Spectral Analysis Algorithm, Fourier Transform. ---- ---- ==References== ===2012=== * http://en.wikipedia.org/wiki/...") |
m (Text replacement - " [[" to " [[") |
||
| (11 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
<B>See:</B> [[Least Squares Estimation Algorith]], [[Spectral Analysis Algorithm]], [[Fourier Transform]]. | <B>See:</B> [[Least Squares Estimation Algorith]], [[Spectral Analysis Algorithm]], [[Fourier Transform]]. | ||
---- | ---- | ||
---- | ---- | ||
===2012=== | == References == | ||
=== 2012 === | |||
* http://en.wikipedia.org/wiki/Least-squares_spectral_analysis | * http://en.wikipedia.org/wiki/Least-squares_spectral_analysis | ||
** '''Least-squares spectral analysis (LSSA) | ** '''Least-squares spectral analysis (LSSA)</B> is a method of estimating a [[frequency spectrum]], based on a [[least squares]] fit of [[Sine wave|sinusoid]]s to data samples, similar to [[Fourier analysis]].<ref>{{cite book | title = Variable Stars As Essential Astrophysical Tools | author = Cafer Ibanoglu | publisher = Springer | year = 2000 | isbn = 0-7923-6084-2 | url = http://books.google.com/?id=QzGbOiZ3OnkC&pg=PA269&dq=vanicek+spectral+sinusoids }}</ref> [[Fourier analysis]], the most used spectral method in science, generally boosts long-periodic noise in long gapped records; LSSA mitigates such problems.<ref name=pres>{{cite book | url = http://books.google.com/?id=9GhDHTLzFDEC&pg=PA685&dq=%22spectral+analysis%22+%22vanicek%22+inauthor:press | author = Press | title = Numerical Recipes | edition = 3rd | year = 2007 | publisher = Cambridge University Press | isbn = 0-521-88068-8 | display-authors = 1}}</ref> <P> LSSA is also known as the '''Vaníček method'''<ref name=taha>{{cite journal | author = J. Taylor and S. Hamilton | title = Some tests of the Vaníček Method of spectral analysis | date = 1972-03-20 | pages = 357–367 | issue = 2 | volume = 17 | journal = Astrophysics and Space Science |doi=10.1007/BF00642907 | bibcode=1972Ap&SS..17..357T}}</ref> after [[Petr Vaníček]], and as the '''Lomb method''' (or the Lomb periodogram<ref>{{cite book | title = Nonlinear Dynamics and Statistics | author = Alistair I. Mees | publisher = Springer | year = 2001 | isbn = 0-8176-4163-7 | url = http://books.google.com/?id=pH_OmkD4ZaQC&pg=PA227&dq=Lomb-periodogram }}</ref>) and the '''Lomb–Scargle method'''<ref>{{cite book | title = Climate Change: Critical Concepts in the Environment | author = Frank Chambers | publisher = Routledge | year = 2002 | isbn = 0-415-27858-9 | url = http://books.google.com/?id=LnqFIpFJ9cwC&pg=PA178&dq=Lomb-Scargle-method }}</ref> (or Lomb–Scargle periodogram<ref name=birn>{{cite book | title = Observational Astronomy | author = D. Scott Birney, David Oesper, and Guillermo Gonzalez | publisher = Cambridge University Press | year = 2006 | isbn = 0-521-85370-2 | url = http://books.google.com/?id=cc9L8QWcZWsC&pg=RA3-PA263&dq=Lomb-Scargle-periodogram }}</ref><ref>{{cite journal | title = Searching for Biological Rhythms: Peak Detection in the Periodogram of Unequally Spaced Data | author = Hans P. A. Van Dongen | journal = Journal of Biological Rhythms | volume = 14 | issue = 6 | year = 1999 | pages = 617–620 | doi = 10.1177/074873099129000984 | pmid = 10643760 | author-separator = , | display-authors = 1 }}</ref>), based on the contributions of Nicholas R. Lomb and, independently, Jeffrey D. Scargle. Closely related methods have been developed by Michael Korenberg and by Scott Chen and [[David Donoho]]. | ||
<references/> | <references/> | ||
---- | ---- | ||
__NOTOC__ | __NOTOC__ | ||
[[Category:Stub]] | |||
Latest revision as of 09:06, 23 May 2024
See: Least Squares Estimation Algorith, Spectral Analysis Algorithm, Fourier Transform.
References
2012
- http://en.wikipedia.org/wiki/Least-squares_spectral_analysis
- Least-squares spectral analysis (LSSA) is a method of estimating a frequency spectrum, based on a least squares fit of sinusoids to data samples, similar to Fourier analysis.[1] Fourier analysis, the most used spectral method in science, generally boosts long-periodic noise in long gapped records; LSSA mitigates such problems.[2]
LSSA is also known as the Vaníček method[3] after Petr Vaníček, and as the Lomb method (or the Lomb periodogram[4]) and the Lomb–Scargle method[5] (or Lomb–Scargle periodogram[6][7]), based on the contributions of Nicholas R. Lomb and, independently, Jeffrey D. Scargle. Closely related methods have been developed by Michael Korenberg and by Scott Chen and David Donoho.
- Least-squares spectral analysis (LSSA) is a method of estimating a frequency spectrum, based on a least squares fit of sinusoids to data samples, similar to Fourier analysis.[1] Fourier analysis, the most used spectral method in science, generally boosts long-periodic noise in long gapped records; LSSA mitigates such problems.[2]
- ↑ Cafer Ibanoglu (2000). Variable Stars As Essential Astrophysical Tools. Springer. ISBN 0-7923-6084-2. http://books.google.com/?id=QzGbOiZ3OnkC&pg=PA269&dq=vanicek+spectral+sinusoids.
- ↑ Press (2007). Numerical Recipes (3rd ed.). Cambridge University Press. ISBN 0-521-88068-8. http://books.google.com/?id=9GhDHTLzFDEC&pg=PA685&dq=%22spectral+analysis%22+%22vanicek%22+inauthor:press.
- ↑ J. Taylor and S. Hamilton (1972-03-20). "Some tests of the Vaníček Method of spectral analysis". Astrophysics and Space Science 17 (2): 357–367. Bibcode 1972Ap&SS..17..357T. doi:10.1007/BF00642907.
- ↑ Alistair I. Mees (2001). Nonlinear Dynamics and Statistics. Springer. ISBN 0-8176-4163-7. http://books.google.com/?id=pH_OmkD4ZaQC&pg=PA227&dq=Lomb-periodogram.
- ↑ Frank Chambers (2002). Climate Change: Critical Concepts in the Environment. Routledge. ISBN 0-415-27858-9. http://books.google.com/?id=LnqFIpFJ9cwC&pg=PA178&dq=Lomb-Scargle-method.
- ↑ D. Scott Birney, David Oesper, and Guillermo Gonzalez (2006). Observational Astronomy. Cambridge University Press. ISBN 0-521-85370-2. http://books.google.com/?id=cc9L8QWcZWsC&pg=RA3-PA263&dq=Lomb-Scargle-periodogram.
- ↑ Hans P. A. Van Dongen (1999). "Searching for Biological Rhythms: Peak Detection in the Periodogram of Unequally Spaced Data". Journal of Biological Rhythms 14 (6): 617–620. doi:10.1177/074873099129000984. PMID 10643760.