The authors derive exact analytical expressions for the PDF of instantaneous frequency estimate and the mean squared error (MSE) of a first order phase difference estimator in Gaussian white noise. The MSE is also derived in terms of linearised circular mean squared error, and is then compared to the Cramér-Rao bounds.
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http://iet.metastore.ingenta.com/content/journals/10.1049/el_19961123
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