首页> 外文会议>European signal processing conference;EUSIPCO 2009 >TIME-VARIANT HARMONIC SIGNAL MODELING BY USING POLYNOMIAL APPROXIMATION AND FULLY AUTOMATED SPECTRAL ANALYSIS
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TIME-VARIANT HARMONIC SIGNAL MODELING BY USING POLYNOMIAL APPROXIMATION AND FULLY AUTOMATED SPECTRAL ANALYSIS

机译:多项式逼近和全自动光谱分析的时变谐波信号建模

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摘要

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.
机译:我们提出了一种新颖的方法来对音频信号中的时变谐波含量进行建模。我们表明,振幅和基本频率的时间变化都可以在单个时间多项式中进行紧凑地捕获,该多项式可以调制基本谐波分量。通过全自动频谱分析方法(ASA),可以确保正确估计基本频率。鉴于方程组是参数线性的事实,可以通过线性最小二乘法轻松获得最佳拟合。与现有方法相反,所提出的方法旨在在AM和FM调制以及低信噪比的条件下正确描述音频信号中的谐波结构。

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