Noncoherent least squares estimators of carrier phase and amplitude

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

doi:10.1109/ICASSP.2013.6638590

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 proceeding › Conference proceeding contribution › peer-review

4 Citations (Scopus)

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.

Original language	English
Title of host publication	2013 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 - Proceedings
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	4888-4892
Number of pages	5
ISBN (Print)	9781479903566
DOIs	https://doi.org/10.1109/ICASSP.2013.6638590
Publication status	Published - 18 Oct 2013
Event	2013 38th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 - Vancouver, BC, Canada Duration: 26 May 2013 → 31 May 2013

Other

Other	2013 38th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013
Country/Territory	Canada
City	Vancouver, BC
Period	26/05/13 → 31/05/13

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10.1109/ICASSP.2013.6638590

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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). Article 6638590 Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ICASSP.2013.6638590

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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.",

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

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AB - 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.

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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 doi: 10.1109/ICASSP.2013.6638590

Noncoherent least squares estimators of carrier phase and amplitude

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