Noncoherent least squares estimators of carrier phase and amplitude

Robby McKilliam, Andre Pollok, Bill Cowley, I. Vaughan L Clarkson, Barry G. Quinn

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

    Abstract

    We consider least squares estimators of carrier phase and amplitude from a noisy communications signal. We focus on signaling constellations that have symbols evenly distributed on the complex unit circle, i.e., M-ary phase shift keying. We show, under reasonably mild conditions on the distribution of the noise, that the least squares estimator of carrier phase is strongly consistent and asymptotically normally distributed. However, the amplitude estimator is not consistent, but converges to a positive real number that is a function of the true carrier amplitude, the noise distribution and the size of the constellation. The results of Monte Carlo simulations are provided and these corroborate the theoretical results.

    LanguageEnglish
    Title of host publication2013 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 - Proceedings
    Place of PublicationPiscataway, NJ
    PublisherInstitute of Electrical and Electronics Engineers (IEEE)
    Pages4888-4892
    Number of pages5
    ISBN (Print)9781479903566
    DOIs
    Publication statusPublished - 18 Oct 2013
    Event2013 38th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 - Vancouver, BC, Canada
    Duration: 26 May 201331 May 2013

    Other

    Other2013 38th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013
    CountryCanada
    CityVancouver, BC
    Period26/05/1331/05/13

    Fingerprint

    Phase shift keying
    Communication
    Monte Carlo simulation

    Cite this

    McKilliam, R., Pollok, A., Cowley, B., Clarkson, I. V. L., & Quinn, B. G. (2013). Noncoherent least squares estimators of carrier phase and amplitude. In 2013 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 - Proceedings (pp. 4888-4892). [6638590] Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ICASSP.2013.6638590
    McKilliam, Robby ; Pollok, Andre ; Cowley, Bill ; Clarkson, I. Vaughan L ; Quinn, Barry G. / Noncoherent least squares estimators of carrier phase and amplitude. 2013 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 - Proceedings. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2013. pp. 4888-4892
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    abstract = "We consider least squares estimators of carrier phase and amplitude from a noisy communications signal. We focus on signaling constellations that have symbols evenly distributed on the complex unit circle, i.e., M-ary phase shift keying. We show, under reasonably mild conditions on the distribution of the noise, that the least squares estimator of carrier phase is strongly consistent and asymptotically normally distributed. However, the amplitude estimator is not consistent, but converges to a positive real number that is a function of the true carrier amplitude, the noise distribution and the size of the constellation. The results of Monte Carlo simulations are provided and these corroborate the theoretical results.",
    author = "Robby McKilliam and Andre Pollok and Bill Cowley and Clarkson, {I. Vaughan L} and Quinn, {Barry G.}",
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    McKilliam, R, Pollok, A, Cowley, B, Clarkson, IVL & Quinn, BG 2013, Noncoherent least squares estimators of carrier phase and amplitude. in 2013 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 - Proceedings., 6638590, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 4888-4892, 2013 38th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013, Vancouver, BC, Canada, 26/05/13. https://doi.org/10.1109/ICASSP.2013.6638590

    Noncoherent least squares estimators of carrier phase and amplitude. / McKilliam, Robby; Pollok, Andre; Cowley, Bill; Clarkson, I. Vaughan L; Quinn, Barry G.

    2013 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 - Proceedings. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2013. p. 4888-4892 6638590.

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

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    McKilliam R, Pollok A, Cowley B, Clarkson IVL, Quinn BG. Noncoherent least squares estimators of carrier phase and amplitude. In 2013 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 - Proceedings. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). 2013. p. 4888-4892. 6638590 https://doi.org/10.1109/ICASSP.2013.6638590