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Gdańsk University of Technology

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From the multiple frequency tracker to the multiple frequency smoother

The problem of extraction/elimination of nonstationary sinusoidalsignals from noisy measurements is considered. This problem is usually solved using adaptive notch filtering (ANF)algorithms. It is shown that the accuracy of frequency estimates can be significantly increased if the results obtained from ANF are backward-time filtered by an appropriately designed lowpass filter. The resulting adaptive notch smoothing (ANS)algorithm can be employed to perform many off-line signal processing tasks, such as elimination of sinusoidal interference from a prerecorded signal. In the single sinusoid case, we show that when the unknown signal frequency drifts accordingto the random-walk model, the optimally tuned ANS algorithmis, under Gaussian assumptions, statistically efficient, i.e. , it attains the Cram´er-Rao type lower smoothing bound, which limits accuracy of any frequency estimation scheme.

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Additional information

DOI
Digital Object Identifier link open in new tab 10.1109/icassp.2008.4518418
Category
Aktywność konferencyjna
Type
publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
Language
angielski
Publication year
2008

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