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On The Polynomial Approximation for Time-Variant Harmonic Signal Modeling

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2 Author(s)
Zivanovic, M. ; Dept. of Electr. & Electron. Eng., Univ. Publica de Navarra, Pamplona, Spain ; Schoukens, Johan

We present a novel approach to modeling time-variant harmonic content in monophonic audio signals. We show that both amplitude and fundamental frequency time variations can be compactly captured in a single time polynomial which modulates the fundamental harmonic component. A correct estimation of the fundamental frequency is assured through the fully automated spectral analysis method (ASA). The best-fit is easily obtained by linear least-squares, given the fact that the set of equations is linear-in-parameters. In contrast to the existing methods, the proposed approach is designed to properly describe harmonic structures in monophonic audio signals under conditions of both amplitude and frequency variations and low signal-to noise ratios.

Published in:

Audio, Speech, and Language Processing, IEEE Transactions on  (Volume:19 ,  Issue: 3 )

Date of Publication:

March 2011

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