Regression, the periodogram, and the Lomb-Scargle periodogram

Barry G. Quinn

doi:10.1109/ICASSP.2016.7472491

Regression, the periodogram, and the Lomb-Scargle periodogram

Barry G. Quinn^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

3 Citations (Scopus)

Abstract

In [1], Lomb developed a nonlinear regression approach to estimating the frequency of a noisy sinusoid when the measurement times were not equispaced, and a method for correcting the times so that the resulting regression sum of squares appeared very similar to the usual periodogram. Scargle [2] suggested that the usual periodogram be discarded, and replaced by the new version, which has become known as the Lomb-Scargle periodogram. In this paper, we extend Lomb's development to include a 'DC' term. We show why it is important to include this term, especially when the times are irregular or the frequency low.

Original language	English
Title of host publication	2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	4313-4317
Number of pages	5
Volume	2016-May
ISBN (Electronic)	9781479999880
DOIs	https://doi.org/10.1109/ICASSP.2016.7472491
Publication status	Published - 18 May 2016
Event	41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Shanghai, China Duration: 20 Mar 2016 → 25 Mar 2016

Publication series

Name	International Conference on Acoustics Speech and Signal Processing ICASSP
Publisher	IEEE
ISSN (Print)	1520-6149

Other

Other	41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016
Country/Territory	China
City	Shanghai
Period	20/03/16 → 25/03/16

Access to Document

10.1109/ICASSP.2016.7472491

Cite this

Quinn, B. G. (2016). Regression, the periodogram, and the Lomb-Scargle periodogram. In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings (Vol. 2016-May, pp. 4313-4317). [7472491] (International Conference on Acoustics Speech and Signal Processing ICASSP). Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ICASSP.2016.7472491

Quinn, Barry G. / Regression, the periodogram, and the Lomb-Scargle periodogram. 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings. Vol. 2016-May Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2016. pp. 4313-4317 (International Conference on Acoustics Speech and Signal Processing ICASSP).

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abstract = "In [1], Lomb developed a nonlinear regression approach to estimating the frequency of a noisy sinusoid when the measurement times were not equispaced, and a method for correcting the times so that the resulting regression sum of squares appeared very similar to the usual periodogram. Scargle [2] suggested that the usual periodogram be discarded, and replaced by the new version, which has become known as the Lomb-Scargle periodogram. In this paper, we extend Lomb's development to include a 'DC' term. We show why it is important to include this term, especially when the times are irregular or the frequency low.",

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Quinn, BG 2016, Regression, the periodogram, and the Lomb-Scargle periodogram. in 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings. vol. 2016-May, 7472491, International Conference on Acoustics Speech and Signal Processing ICASSP, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 4313-4317, 41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016, Shanghai, China, 20/03/16. https://doi.org/10.1109/ICASSP.2016.7472491

Regression, the periodogram, and the Lomb-Scargle periodogram. / Quinn, Barry G.
2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings. Vol. 2016-May Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2016. p. 4313-4317 7472491 (International Conference on Acoustics Speech and Signal Processing ICASSP).

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

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AB - In [1], Lomb developed a nonlinear regression approach to estimating the frequency of a noisy sinusoid when the measurement times were not equispaced, and a method for correcting the times so that the resulting regression sum of squares appeared very similar to the usual periodogram. Scargle [2] suggested that the usual periodogram be discarded, and replaced by the new version, which has become known as the Lomb-Scargle periodogram. In this paper, we extend Lomb's development to include a 'DC' term. We show why it is important to include this term, especially when the times are irregular or the frequency low.

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VL - 2016-May

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BT - 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings

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Quinn BG. Regression, the periodogram, and the Lomb-Scargle periodogram. In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings. Vol. 2016-May. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). 2016. p. 4313-4317. 7472491. (International Conference on Acoustics Speech and Signal Processing ICASSP). doi: 10.1109/ICASSP.2016.7472491

Regression, the periodogram, and the Lomb-Scargle periodogram

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