Frequency Estimation by Phase Unwrapping

McKilliam, Robby G., Quinn, Barry G., Clarkson, I. Vaughan L. and Moran, Bill (2010) Frequency Estimation by Phase Unwrapping. IEEE Transactions on Signal Processing, 58 6: 2953-2963. doi:10.1109/TSP.2010.2045786

Author McKilliam, Robby G.
Quinn, Barry G.
Clarkson, I. Vaughan L.
Moran, Bill
Title Frequency Estimation by Phase Unwrapping
Journal name IEEE Transactions on Signal Processing   Check publisher's open access policy
ISSN 1053-587X
Publication date 2010-06
Sub-type Article (original research)
DOI 10.1109/TSP.2010.2045786
Volume 58
Issue 6
Start page 2953
End page 2963
Total pages 11
Place of publication New York
Publisher IEEE
Collection year 2011
Language eng
Formatted abstract
Single frequency estimation is a long-studied problem with application domains including radar, sonar, telecommunications, astronomy and medicine. One method of estimation, called phase unwrapping, attempts to estimate the frequency by performing linear regression on the phase of the received signal. This procedure is complicated by the fact that the received phase is 'wrapped' modulo 2π and therefore must be 'unwrapped' before the regression can be performed. In this paper, we propose an estimator that performs phase unwrapping in the least squares sense. The estimator is shown to be strongly consistent and its asymptotic distribution is derived. We then show that the problem of computing the least squares phase unwrapping is related to a problem in algorithmic number theory known as the nearest lattice point problem. We derive a polynomial time algorithm that computes the least squares estimator. The results of various simulations are described for different values of sample size and SNR. © 2010 IEEE.
Keyword Central limit theorem
frequency estimation
nearest lattice point problem
number theory
phase unwrapping
Nearest point
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: Official 2011 Collection
School of Information Technology and Electrical Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 34 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 42 times in Scopus Article | Citations
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Created: Sun, 06 Jun 2010, 00:06:14 EST