Possible Joint Estimation Accuracy for Central Frequency and Spectrum Width in a Signal Featuring a Rectangular Spectrum

We used a multivariate Cramer --- Rao inequality to derive equations describing minimum root-mean-square deviation values for joint estimation of central frequency and width of a signal characterised by a rectangular spectrum but mixed with white Gaussian noise. We provide plots of the root-mean-square deviations as functions of the signal-to-noise ratio and initial signal parameters such as signal spectrum width and sample length. We analysed these results in order to estimate possible requirements for those algorithms under development that deal with joint parameter estimation for the case of a signal featuring a rectangular spectrum, depending on such initial parameters as sampling rate and sample size

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