A linear programming approach to the tracking of partials
Audio and Speech Processing
2019-01-17 v1 Sound
Signal Processing
Abstract
A new approach to the tracking of sinusoidal chirps using linear programming is proposed. It is demonstrated that the classical algorithm of McAulay and Quatieri is greedy and exhibits exponential complexity for long searches, while approaches based on the Viterbi algorithm exhibit factorial complexity. A linear programming (LP) formulation to find the best paths in a lattice is described and its complexity is shown to be less than previous approaches. Finally it is demonstrated that the new LP formulation outperforms the classical algorithm in the tracking of sinusoidal chirps in high levels of noise.
Keywords
Cite
@article{arxiv.1901.05044,
title = {A linear programming approach to the tracking of partials},
author = {Nicholas Esterer and Philippe Depalle},
journal= {arXiv preprint arXiv:1901.05044},
year = {2019}
}
Comments
5 pages, 1 pdf figure