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Partial Differential Equations & Applied Math: "The De-shape algorithm: “context-free” fundamental frequency estimator"

Dr. Chen-Yun Lin, University of Toronto

Wednesday, May 10, 2017
  1:10–2 p.m.

Location: Surge Building 268
  Parking Information

Category: Seminar

Description: Fundamental frequency (f0) estimation (a.k.a. pitch detection) has been an important topic in many fields since the age of computers. While many context-specific attempts have been made, it has been difficult to develop a “context-free” f0 estimator. Motivated by cesptrum analysis, Lin-Su-Wu proposes an f0 estimator, named the de-shape algorithm, which works well in a variety of contexts.

In this talk, I introduce a mathematical model that quantifies multiple component oscillatory signals with time-varying frequency and amplitude and with time-varying non-sinusoidal oscillatory pattern. I illustrate the proposed algorithm through several numerical results on simulated, medical, musical, and biological signals as well as explain how cesptrum analysis is used to eliminate the wave-shape function influence and to extract the f0 information.


Open to: General Public
Admission: Free
Sponsor: Mathematics

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