UDC 519.216We propose an algorithm for estimating the parameters of a signal from its quasiharmonic representation and a method for estimation of slowly varying coefficients of a second-order differential equation. The considered approach uses Tikhonov's regularization for the class of slowly varying functions. The results of statistical modeling for the Mathieu equation are presented. Solution of the frequency comparison problem on the example of estimation of the frequency instability of a quartz resonator setting a signal sampling rate is considered. Relations for determining the sampling rate are obtained and the results of numerical simulation are reported.

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A new method for the fast and precise frequency and amplitude estimations of the quasiharmonic signal with additive white Gaussian noise is presented. The method has low computational complexity and it is well suited for numerous real-time applications. The method forms the estimates by using an approach based on only one condition of slow changing the signal's parameters. The method provides exact frequency and amplitude determination in the noiseless case.