On Harmonic Approximations of Inharmonic Signals

Filip Elvander, Jie Ding, Andreas Jakobsson

Tutkimustuotos: Artikkeli kirjassa/konferenssijulkaisussaConference article in proceedingsScientificvertaisarvioitu

Abstrakti

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.
AlkuperäiskieliEnglanti
OtsikkoICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
KustantajaIEEE
Sivut5360-5364
Sivumäärä5
ISBN (elektroninen)978-1-5090-6631-5
ISBN (painettu)978-1-5090-6632-2
DOI - pysyväislinkit
TilaJulkaistu - 8 toukok. 2020
OKM-julkaisutyyppiA4 Artikkeli konferenssijulkaisussa
TapahtumaIEEE International Conference on Acoustics, Speech, and Signal Processing - Virtual conference, Barcelona, Espanja
Kesto: 4 toukok. 20208 toukok. 2020
Konferenssinumero: 45

Julkaisusarja

NimiEuropean Signal Processing Conference
ISSN (painettu)2219-5491
ISSN (elektroninen)2076-1465

Conference

ConferenceIEEE International Conference on Acoustics, Speech, and Signal Processing
LyhennettäICASSP
Maa/AlueEspanja
KaupunkiBarcelona
Ajanjakso04/05/202008/05/2020
MuuVirtual conference

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