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音乐信号的时频分析

Time-frequency analysis of musical signal

  • 摘要: 对已用于音乐处理上的主要时频(TF)分析方法进行了综述,并描述了它们的应用范围。在Cohen类框架下对技术方法进行检验,有助于新方法的设计和比较。所述内容涵盖了基音同步分析,短时傅立叶变换(STFT),相位声码器,恒Q变换和小波变换,Wigner分布和模式分布。详细描述了窗函数法的局限性和对稳态假设、无限持续正弦曲线的依赖性。与窗函数法相反,Wigner分布用解析信号定义瞬时频率和功率参数,而模式分布是对优化的Wigner分布的线性变换。应用领域涉及分析、再合成、记谱、分类和识别、可视化。

     

    Abstract: The major time-frequency analysis methods that have been applied to music processing are traced and the application areas described.Techniques are examined in the context of Cohen’s class,facilitating comparison and the design of new approaches.Analyses spanning pitch synchronous analysis,short-time Fourier transform(STFT),phase vocoder,constant-Q and wavelet transforms,the Wigner distribution,and the modal distribution are all covered.The limitations of Windowing methods and their reliance on steady-state assumptions and infinite duration sinusoids to define frequency and amplitude are detailed.The Wigner distribution in contrast,uses the analytic signal to define instantaneous frequency and power parameters,and the modal distribution is a linear transformation of Wigner distribution optimized.Application areas consider analysis,resynthesis,transcription,classification and recognition,visualization.

     

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