On a Three-term Variant of the Lomb Periodogram

Interdependence of trigonometric terms with the constant term in the current two-term form of the Lomb periodogram leads to cases where the maximum computed power does not correspond to the dominant frequency in the data, i.e., the dominant frequency is misidentified. This happens even in noiseless...

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Bibliographic Details
Published in:Astrophysics and space science 2001-01, Vol.277 (4), p.519-530
Main Author: Shrager, R I
Format: Article
Language:English
Subjects:
Astrophysics
Studies
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Summary:Interdependence of trigonometric terms with the constant term in the current two-term form of the Lomb periodogram leads to cases where the maximum computed power does not correspond to the dominant frequency in the data, i.e., the dominant frequency is misidentified. This happens even in noiseless cases with only one frequency present. A three-term form of the Lomb periodogram is considered as a way of correcting the problem. Another difference between the two- and three-term forms is their behavior in poorly-determined cases, particularly at or near the Nyquist frequency (or its integer multiples) for equally spaced data, The two-term form will return reasonable-looking positive (and possibly significant) values, whereas the three-term form will return zeros. Arguments for and against these results will be given.[PUBLICATION ABSTRACT]
ISSN:0004-640X
1572-946X
DOI:10.1023/A:1013832330141