Multi-pitch Estimation using Semidefinite Programming

Tobias Lindstrøm Jensen, Lieven Vandenberghe

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

1 Citationer (Scopus)
267 Downloads (Pure)

Abstrakt

Multi-pitch estimation concerns the problem of estimating the fundamental frequencies (pitches) and amplitudes/phases of multiple superimposed harmonic signals with application in music, speech, vibration analysis etc. In this paper we formulate a complex-valued multi-pitch estimator via a semidefinite programming representation of an atomic decomposition over a continuous dictionary of complex exponentials and extend this to real-valued data via a real semidefinite pro-ram with the same dimensions (i.e. half the size). We further impose a continuous frequency constraint naturally occurring from assuming a Nyquist sampled signal by adding an additional semidefinite constraint. We show that the proposed estimator has superior performance compared to state-
of-the-art methods for separating two closely spaced fundamentals and approximately achieves the asymptotic Cramér-Rao lower bound.
OriginalsprogEngelsk
Titel2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
ForlagIEEE
Publikationsdatomar. 2017
Sider4192-4196
ISBN (Elektronisk)978-1-5090-4117-6
DOI
StatusUdgivet - mar. 2017
BegivenhedThe 42nd IEEE International Conference on Acoustics, Speech and Signal Processing: The Internet of Signals - New Orleans, USA
Varighed: 5 mar. 20179 mar. 2017
http://www.ieee-icassp2017.org/
http://www.ieee-icassp2017.org/

Konference

KonferenceThe 42nd IEEE International Conference on Acoustics, Speech and Signal Processing
Land/OmrådeUSA
ByNew Orleans
Periode05/03/201709/03/2017
Internetadresse
NavnI E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings
ISSN1520-6149

Fingeraftryk

Dyk ned i forskningsemnerne om 'Multi-pitch Estimation using Semidefinite Programming'. Sammen danner de et unikt fingeraftryk.

Citationsformater