Carrier phase and amplitude estimation for phase shift keying using pilots and data

McKilliam, Robby G., Pollok, André, Cowley, William, Clarkson, I. Vaughan L. and Quinn, Barry G. (2014) Carrier phase and amplitude estimation for phase shift keying using pilots and data. IEEE Transactions on Signal Processing, 62 15: 3976-3989. doi:10.1109/TSP.2014.2332976

Author McKilliam, Robby G.
Pollok, André
Cowley, William
Clarkson, I. Vaughan L.
Quinn, Barry G.
Title Carrier phase and amplitude estimation for phase shift keying using pilots and data
Journal name IEEE Transactions on Signal Processing   Check publisher's open access policy
ISSN 1053-587X
Publication date 2014-08-01
Sub-type Article (original research)
DOI 10.1109/TSP.2014.2332976
Open Access Status
Volume 62
Issue 15
Start page 3976
End page 3989
Total pages 14
Place of publication Piscataway, NJ, United States
Publisher Institute of Electrical and Electronics Engineers
Collection year 2014
Language eng
Subject 2208 Electrical and Electronic Engineering
1711 Signal Processing
Formatted abstract
We consider least squares estimators of carrier phase and amplitude from a noisy communications signal that contains both pilot signals, known to the receiver, and data signals, unknown to the receiver. 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 asymptotically biased and converges to a positive real number that is a function of the true carrier amplitude, the noise distribution and the size of the constellation. This appears to be the first time that the statistical properties of a non-data-aided estimator for carrier amplitude have been analyzed theoretically. The results of Monte Carlo simulations are provided and these agree with the theoretical results.
Keyword Asymptotic statistics
Phase shift keying
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes A preliminary version of this paper has been submitted to IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Vancouver, Canada, May 2013.

Document type: Journal Article
Sub-type: Article (original research)
Collections: Official 2015 Collection
School of Information Technology and Electrical Engineering Publications
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