Journal article

Frequency Estimation by Phase Unwrapping

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

IEEE TRANSACTIONS ON SIGNAL PROCESSING | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | Published : 2010

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 t..

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Grants

Funding Acknowledgements

Manuscript received July 09, 2009; accepted February 10, 2010. Date of publication March 15, 2010; date of current version May 14, 2010. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Ta-Hsin Li. The work of R. McKilliam was supported by a scholarship from the Wireless Technologies Laboratory, CSIRO ICT Centre, Sydney, Australia.