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Institute of Electrical and Electronics Engineers, IEEE Signal Processing Letters, (15), p. 745-748, 2008

DOI: 10.1109/lsp.2008.2003987

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On Optimal Filter Designs for Fundamental Frequency Estimation

Journal article published in 2008 by Mads Græsbøll Christensen ORCID, Jesper Højvang Jensen, Andreas Jakobsson, Søren Holdt Jensen
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This paper is available in a repository.

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Abstract

Recently, we proposed using Capon's minimum variance principle to find the fundamental frequency of a periodic waveform. The resulting estimator is formed such that it maximizes the output power of a bank of filters. We present an alternative optimal single filter design and then proceed to quantify the similarities and differences between the estimators using asymptotic analysis and Monte Carlo simulations. Our analysis shows that the single filter can be expressed in terms of the optimal filterbank and that the methods are asymptotically equivalent but generally different for finite length signals.