On Harmonic Approximations of Inharmonic Signals

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Sammanfattning

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.

Originalspråkengelska
Titel på gästpublikation2020 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2020 - Proceedings
FörlagIEEE - Institute of Electrical and Electronics Engineers Inc.
Sidor5360-5364
Antal sidor5
ISBN (elektroniskt)9781509066315
DOI
StatusPublished - 2020
Evenemang2020 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2020 - Barcelona, Spanien
Varaktighet: 2020 maj 42020 maj 8

Publikationsserier

NamnICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volym2020-May
ISSN (tryckt)1520-6149

Konferens

Konferens2020 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2020
Land/TerritoriumSpanien
OrtBarcelona
Period2020/05/042020/05/08

Ämnesklassifikation (UKÄ)

  • Signalbehandling

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