The Doppler velocity dealiasing problem has been discussed for many years. Because aliasing is easily identified by detecting abrupt changes in the data field, most existing algorithms use this technique to correct aliased data. Such algorithms are typically based on local expansion methods. Such methods make a dealiasing decision for each gate based on the information of its dealiased neighbors and thus can be sensitive to scattered incorrect data. This paper introduces a new approach that attempts to find all dealiased values for a given dataset by solving a linear system involving the entire dataset and thus avoiding local expansion. Because the solution is global, the new technique is conceptually simple and displays good performance on a number of test cases. The new technique described here was implemented to support real-time dealiasing in an operational setting.
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Jing et al. (1993) studied this question.