Title
On Optimal Filter Designs For Fundamental Frequency Estimation
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.
Year
DOI
Venue
2008
10.1109/LSP.2008.2003987
IEEE SIGNAL PROCESSING LETTERS
Keywords
Field
DocType
Capon, comb filter, filter design, fundamental frequency estimation, MVDR, optimal filtering, pitch estimation
Minimum-variance unbiased estimator,Monte Carlo method,Mathematical optimization,Fundamental frequency,Filter bank,Waveform,Asymptotic analysis,Mathematics,Filter design,Estimator
Journal
Volume
ISSN
Citations 
15
1070-9908
13
PageRank 
References 
Authors
0.82
5
4
Name
Order
Citations
PageRank
Mads Grsbll Christensen1130.82
Jesper Hjvang Jensen2130.82
Andreas Jakobsson340943.32
Sren Holdt Jensen4130.82