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

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

doi:10.1109/ACSSC.2009.5469871

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 proceeding › Conference proceeding contribution › peer-review

7 Citations (Scopus)

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.

Original language	English
Title of host publication	Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers, 2009
Editors	Michael B. Matthews
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	493-495
Number of pages	3
ISBN (Electronic)	9781424458271, 9781424458264
ISBN (Print)	9781424458257
DOIs	https://doi.org/10.1109/ACSSC.2009.5469871
Publication status	Published - 2009
Event	43rd Asilomar Conference on Signals, Systems and Computers - Pacific Grove, CA, United States Duration: 1 Nov 2009 → 4 Nov 2009

Other

Other	43rd Asilomar Conference on Signals, Systems and Computers
Country/Territory	United States
City	Pacific Grove, CA
Period	1/11/09 → 4/11/09

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10.1109/ACSSC.2009.5469871

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] 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. et al. / 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",

year = "2009",

doi = "10.1109/ACSSC.2009.5469871",

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booktitle = "Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers, 2009",

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note = "43rd Asilomar Conference on Signals, Systems and Computers ; Conference date: 01-11-2009 Through 04-11-2009",

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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. et al.
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 proceeding › Conference proceeding contribution › peer-review

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AB - 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.

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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 doi: 10.1109/ACSSC.2009.5469871

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

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