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Sparse modeling of chroma features

机译：色度特征的稀疏建模

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摘要

This work treats the estimation of chroma features for harmonic audio signals using a sparse reconstruction framework. Chroma has been used for decades as a key tool in audio analysis, and is typically formed using a periodogram-based approach that maps the fundamental frequency of a musical tone to its corresponding chroma. Such an approach often leads to problems with tone ambiguity. We address this ambiguity via sparse modeling, allowing us to appropriately penalize ambiguous estimates while taking the harmonic structure of tonal audio into account. Furthermore, we also allow for signals to have time-varying envelopes. Using a spline-based amplitude modulation of the chroma dictionary, the presented estimator is able to model longer frames than what is conventional for audio, as well as to model highly time-localized signals, and signals containing sudden bursts, such as trumpet or trombone signals. Thus, we may retain more signal information as compared to alternative methods. The performances of the proposed methods are evaluated by analyzing the average estimation errors for synthetic signals, as compared to the Cramer-Rao lower bound, and by visual inspection for estimates of real instrument signals. The results show strong visual clarity, as compared to other commonly used methods.
机译：这项工作使用稀疏重建框架来处理谐波音频信号的色度特征估计。色度作为音频分析中的关键工具已使用了数十年，通常使用基于周期图的方法来形成，该方法将乐音的基本频率映射到其相应的色度。这样的方法经常导致音调模糊的问题。我们通过稀疏建模解决了这种歧义，使我们能够在考虑音调音频的谐波结构的同时，适当地模糊歧义估计。此外，我们还允许信号具有随时间变化的包络。使用基于样条的色度字典幅度调制，本发明的估算器能够对更长的帧进行建模，而不是对音频进行传统的建模，还可以对高度时域化的信号以及包含突然爆发的信号（例如小号或长号）进行建模信号。因此，与替代方法相比，我们可以保留更多信号信息。通过分析合成信号的平均估计误差（与Cramer-Rao下限相比），并通过目视检查实际仪器信号的估计，来评估所提出方法的性能。与其他常用方法相比，结果显示出很强的视觉清晰度。

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  • 来源
    《Signal processing》 |2017年第1期|105-117|共13页
  • 作者

    Ted Kronvall; Maria Juhlin; Johan Swaerd; Stefan I. Adalbjoernsson; Andreas Jakobsson;

  • 作者单位

    Mathematical Statistics, Centre for Mathematical Sciences, Lund University, P.O. Box 178, SE-221 00 Lund, Sweden;

    Mathematical Statistics, Centre for Mathematical Sciences, Lund University, P.O. Box 178, SE-221 00 Lund, Sweden;

    Mathematical Statistics, Centre for Mathematical Sciences, Lund University, P.O. Box 178, SE-221 00 Lund, Sweden;

    Mathematical Statistics, Centre for Mathematical Sciences, Lund University, P.O. Box 178, SE-221 00 Lund, Sweden;

    Mathematical Statistics, Centre for Mathematical Sciences, Lund University, P.O. Box 178, SE-221 00 Lund, Sweden;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Chroma; Multi-pitch estimation; Sparse modeling; Amplitude modulation; Block sparsity; ADMM;

    机译：色度多音高估计;稀疏建模;调幅;阻止稀疏;ADMM;

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