Title
Time-variant harmonic signal modeling by using polynomial approximation and fully automated spectral analysis
Abstract
We present a novel approach to modelling time-variant harmonic content in 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 audio signals under conditions of both AM and FM modulations and low signal-to noise ratios.
Year
Venue
Keywords
2009
Glasgow
audio signal processing,harmonics,polynomial approximation,spectral analysis,am modulation,fm modulation,amplitude time variations,audio signal,automated spectral analysis method,fully automated spectral analysis,fundamental frequency estimation,fundamental frequency time variations,fundamental harmonic component,single time polynomial,time-variant harmonic content,time-variant harmonic signal,estimation,frequency modulation,time frequency analysis,polynomials,harmonic analysis
Field
DocType
ISBN
Audio signal,Mathematical optimization,Fundamental frequency,Polynomial,Algorithm,Harmonic,Harmonic analysis,Time–frequency analysis,Frequency modulation,Amplitude,Mathematics
Conference
978-161-7388-76-7
Citations 
PageRank 
References 
3
0.91
3
Authors
2
Name
Order
Citations
PageRank
Zivanovic, M.15910.80
Johan Schoukens242.61