Polynomial-phase estimation, phase unwrapping and the nearest lattice point problem

Robby G. McKilliam, I. Vaughan L Clarkson, Barry G. Quinn, Bill Moran

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

    Abstract

    Polynomial-phase signals have attracted significant interest due to their applicability to radar, sonar, geophysics, and radio communication. In this paper we introduce a new technique for estimating the parameters of polynomial phase signals. The parameters are estimated by performing phase unwrapping in a least squares manner. The least squares problem is formulated as a nearest lattice point problem that can be solved using existing techniques. The statistical performance of the new estimator is excellent when compared with popular existing estimators such as those based on the discrete polynomial phase transform.

    LanguageEnglish
    Title of host publicationConference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers, 2009
    EditorsMichael B. Matthews
    Place of PublicationPiscataway, NJ
    PublisherInstitute of Electrical and Electronics Engineers (IEEE)
    Pages493-495
    Number of pages3
    ISBN (Electronic)9781424458271, 9781424458264
    ISBN (Print)9781424458257
    DOIs
    Publication statusPublished - 2009
    Event43rd Asilomar Conference on Signals, Systems and Computers - Pacific Grove, CA, United States
    Duration: 1 Nov 20094 Nov 2009

    Other

    Other43rd Asilomar Conference on Signals, Systems and Computers
    CountryUnited States
    CityPacific Grove, CA
    Period1/11/094/11/09

    Fingerprint

    Polynomials
    Geophysics
    Radio communication
    Sonar
    Radar

    Cite this

    McKilliam, R. G., Clarkson, I. V. L., Quinn, B. G., & Moran, B. (2009). Polynomial-phase estimation, phase unwrapping and the nearest lattice point problem. In M. B. Matthews (Ed.), Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers, 2009 (pp. 493-495). [5469871] Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ACSSC.2009.5469871
    McKilliam, Robby G. ; Clarkson, I. Vaughan L ; Quinn, Barry G. ; Moran, Bill. / Polynomial-phase estimation, phase unwrapping and the nearest lattice point problem. Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers, 2009. editor / Michael B. Matthews. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2009. pp. 493-495
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    title = "Polynomial-phase estimation, phase unwrapping and the nearest lattice point problem",
    abstract = "Polynomial-phase signals have attracted significant interest due to their applicability to radar, sonar, geophysics, and radio communication. In this paper we introduce a new technique for estimating the parameters of polynomial phase signals. The parameters are estimated by performing phase unwrapping in a least squares manner. The least squares problem is formulated as a nearest lattice point problem that can be solved using existing techniques. The statistical performance of the new estimator is excellent when compared with popular existing estimators such as those based on the discrete polynomial phase transform.",
    author = "McKilliam, {Robby G.} and Clarkson, {I. Vaughan L} and Quinn, {Barry G.} and Bill Moran",
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    McKilliam, RG, Clarkson, IVL, Quinn, BG & Moran, B 2009, Polynomial-phase estimation, phase unwrapping and the nearest lattice point problem. in MB Matthews (ed.), Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers, 2009., 5469871, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 493-495, 43rd Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, United States, 1/11/09. https://doi.org/10.1109/ACSSC.2009.5469871

    Polynomial-phase estimation, phase unwrapping and the nearest lattice point problem. / McKilliam, Robby G.; Clarkson, I. Vaughan L; Quinn, Barry G.; Moran, Bill.

    Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers, 2009. ed. / Michael B. Matthews. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2009. p. 493-495 5469871.

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

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    McKilliam RG, Clarkson IVL, Quinn BG, Moran B. Polynomial-phase estimation, phase unwrapping and the nearest lattice point problem. In Matthews MB, editor, Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers, 2009. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). 2009. p. 493-495. 5469871 https://doi.org/10.1109/ACSSC.2009.5469871