Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/138660
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- Title
- Frequency estimation by phase unwrapping
- Related
- IEEE transactions on signal processing, Vol. 58, Issue 6, (2010), p.2953-2963
- DOI
- 10.1109/TSP.2010.2045786
- Publisher
- IEEE
- Date
- 2010
- FoR/RFCD Code(s)
-
100500 Communications Technologies
090600 Electrical and Electronic Engineering
- Author/Creator
- McKilliam, Robby G
- Author/Creator
- Quinn, Barry G
- Author/Creator
- Clarkson, I. Vaughan L
- Author/Creator
- Moran, Bill
- Description
- 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 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.
- Description
- 11 page(s)
- Subject Keyword
- 100500 Communications Technologies
- Subject Keyword
- 090600 Electrical and Electronic Engineering
- Subject Keyword
- central limit theorem
- Subject Keyword
- frequency estimation
- Subject Keyword
- lattices
- Subject Keyword
- nearest lattice point problem
- Subject Keyword
- number theory
- Subject Keyword
- phase unwrapping
- Resource Type
- journal article
- Organisation
- Macquarie University. Dept. of Statistics
- Identifier
- http://hdl.handle.net/1959.14/138660
- Identifier
- ISSN:1053-587X
- Identifier
- mq-rm-2010002962
- Language
- eng
- Reviewed
