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On Harmonic Approximations of Inharmonic Signals

Elvander, Filip LU ; Ding, Jie LU and Jakobsson, Andreas LU orcid (2020) 2020 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2020 In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings 2020-May. p.5360-5364
Abstract

In this work, we present the misspecified Gaussian Cramér-Rao lower bound for the parameters of a harmonic signal, or pitch, when signal measurements are collected from an almost, but not quite, harmonic model. For the asymptotic case of large sample sizes, we present a closed-form expression for the bound corresponding to the pseduo-true fundamental frequency. Using simulation studies, it is shown that the bound is sharp and is attained by maximum likelihood estimators derived under the misspecified harmonic assumption. It is shown that misspecified harmonic models achieve a lower mean squared error than correctly specified unstructured models for moderately inharmonic signals. Examining voices from a speech database, we conclude that... (More)

In this work, we present the misspecified Gaussian Cramér-Rao lower bound for the parameters of a harmonic signal, or pitch, when signal measurements are collected from an almost, but not quite, harmonic model. For the asymptotic case of large sample sizes, we present a closed-form expression for the bound corresponding to the pseduo-true fundamental frequency. Using simulation studies, it is shown that the bound is sharp and is attained by maximum likelihood estimators derived under the misspecified harmonic assumption. It is shown that misspecified harmonic models achieve a lower mean squared error than correctly specified unstructured models for moderately inharmonic signals. Examining voices from a speech database, we conclude that human speech belongs to this class of signals, verifying that the use of a harmonic model for voiced speech is preferable.

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author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Fundamental frequency estimation, inharmonicity, misspecified Cramér-Rao lower bound
host publication
2020 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2020 - Proceedings
series title
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
volume
2020-May
article number
9054139
pages
5 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
2020 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2020
conference location
Barcelona, Spain
conference dates
2020-05-04 - 2020-05-08
external identifiers
  • scopus:85089222292
ISSN
1520-6149
ISBN
9781509066315
DOI
10.1109/ICASSP40776.2020.9054139
language
English
LU publication?
yes
id
cfccc167-93af-4c60-9960-17070330c34d
date added to LUP
2020-08-19 07:59:23
date last changed
2022-04-19 00:13:10
@inproceedings{cfccc167-93af-4c60-9960-17070330c34d,
  abstract     = {{<p>In this work, we present the misspecified Gaussian Cramér-Rao lower bound for the parameters of a harmonic signal, or pitch, when signal measurements are collected from an almost, but not quite, harmonic model. For the asymptotic case of large sample sizes, we present a closed-form expression for the bound corresponding to the pseduo-true fundamental frequency. Using simulation studies, it is shown that the bound is sharp and is attained by maximum likelihood estimators derived under the misspecified harmonic assumption. It is shown that misspecified harmonic models achieve a lower mean squared error than correctly specified unstructured models for moderately inharmonic signals. Examining voices from a speech database, we conclude that human speech belongs to this class of signals, verifying that the use of a harmonic model for voiced speech is preferable.</p>}},
  author       = {{Elvander, Filip and Ding, Jie and Jakobsson, Andreas}},
  booktitle    = {{2020 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2020 - Proceedings}},
  isbn         = {{9781509066315}},
  issn         = {{1520-6149}},
  keywords     = {{Fundamental frequency estimation; inharmonicity; misspecified Cramér-Rao lower bound}},
  language     = {{eng}},
  pages        = {{5360--5364}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings}},
  title        = {{On Harmonic Approximations of Inharmonic Signals}},
  url          = {{http://dx.doi.org/10.1109/ICASSP40776.2020.9054139}},
  doi          = {{10.1109/ICASSP40776.2020.9054139}},
  volume       = {{2020-May}},
  year         = {{2020}},
}