Using optimal transport for estimating inharmonic pitch signals

作者: Filip Elvander , Stefan Ingi Adalbjornsson , Johan Karlsson , Andreas Jakobsson

DOI: 10.1109/ICASSP.2017.7952172

关键词: AlgorithmLinear programmingTime–frequency analysisSignal processingMathematical optimizationHarmonic analysisAudio signalMathematicsInharmonicityA priori and a posterioriHarmonics

摘要: In this work, we propose a novel multi-pitch estimation technique that is robust with respect to the inharmonicity commonly occurring in many applications. The method does not require any priori knowledge of number signal sources, harmonics each source, nor structure or scope possibly inharmonicity. Formulated as minimum transport distance problem, proposed finds an estimate present pitches by mapping found spectral line closest harmonic structure. resulting optimization convex and highly tractable linear programming problem. preferable performance illustrated using both simulated real audio signals.

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