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Multi-Pitch Estimation

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Periodic signals can be decomposed into sets of sinusoids having frequencies that are integer multiples of a fundamental frequency. The problem of finding such fundamental frequencies from noisy observations is important in many speech and audio applications, where it is commonly referred to as pitch estimation. These applications include analysis, compression, separation, enhancement, automatic transcription and  Read more...

Author(s): Mads Græsbøll Christensen, Andreas Jakobsson
Series: Synthesis lectures on speech and audio processing 5
Publisher: Morgan & Claypool Publishers
Year: 2009

Language: English
Pages: xviii+141
City: San Rafael, Calif.
Tags: Audio frequency -- Measurement;Signal processing;COMPUTERS -- Optical Data Processing

Fundamentals --
Introduction --
Related work --
Some applications --
Signal models --
Covariance matrix model --
Speech and audio signals --
Other signal models --
Parameter estimation bounds --
Evaluation of pitch estimators --
Statistical methods --
Introduction --
Maximum likelihood estimation --
Noise covariance matrix estimation --
White noise case --
Some maximum a posteriori estimators --
MAP model and order selection --
Fast multi-pitch estimation --
Expectation maximization --
Another related method --
Harmonic fitting --
Some results --
Discussion --
Filtering methods --
Introduction --
Comb filtering --
Filterbank interpretation of NLS --
Optimal filterbank design --
Optimal filter design --
Asymptotic analysis --
Inverse covariance matrix --
Variance and order estimation --
Fast implementation --
Some results --
Discussion --
Subspace methods --
Introduction --
Signal and noise subspace identification --
Subspace properties --
Pre-whitening --
Rank estimation using Eigenvalues --
Angles between subspaces --
Estimation using orthogonality --
Robust estimation --
Estimation using shift-invariance --
Some results --
Discussion --
Amplitude estimation --
Introduction --
Least squares estimation --
Capon- and APES-like amplitude estimates --
Some results and discussion --
The analytic signal --
Bibliography --
About the authors.