On Harmonic Approximations of Inharmonic Signals
(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.
(Less)
- author
- Elvander, Filip LU ; Ding, Jie LU and Jakobsson, Andreas LU
- organization
- publishing date
- 2020
- 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}}, }