Regression, the periodogram, and the Lomb-Scargle periodogram

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionResearchpeer-review

    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.

    LanguageEnglish
    Title of host publication2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings
    Place of PublicationPiscataway, NJ
    PublisherInstitute of Electrical and Electronics Engineers (IEEE)
    Pages4313-4317
    Number of pages5
    Volume2016-May
    ISBN (Electronic)9781479999880
    DOIs
    Publication statusPublished - 18 May 2016
    Event41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Shanghai, China
    Duration: 20 Mar 201625 Mar 2016

    Publication series

    NameInternational Conference on Acoustics Speech and Signal Processing ICASSP
    PublisherIEEE
    ISSN (Print)1520-6149

    Other

    Other41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016
    CountryChina
    CityShanghai
    Period20/03/1625/03/16

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    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). Piscataway, NJ: 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 proceedingConference proceeding contributionResearchpeer-review

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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). https://doi.org/10.1109/ICASSP.2016.7472491