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CQ变换的快速算法及在音调频率估计中的误差分析 被引量:1

Efficient Algorithm of CQ Transform and Analysis of Frequency Estimation Error of Music Pitch
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摘要 首先从CQT(Constant Q Transform)和离散傅里叶变换(Discrete Fourier Transform,DFT)比较的角度,对定义CQT的依据以及CQT与DFT的关系作出分析;然后讨论CQT的时域直接计算和频域快速计算;最后分析这一计算方法在音乐的音调分析中所产生的频率误差。本文的分析将为实际应用中CQT算法参数的选取、寻找音阶频率估计误差的修正方法等提供重要参考依据。 Firstly, the basis of defining CQT and the relationship between CQT and DFT are analyzed by comparing them. Then, CQT's calculations of direct method in time-domain and efficient method in frequency-domain are discussed. At last, frequency estimation errors generated by the algorithm are analyzed. Analysis of this paper can provide an important reference for deciding the parameter values of CQT and for finding an approach of compensating estimation errors.
作者 丁志中
出处 《信息与电子工程》 2005年第4期270-274,共5页 information and electronic engineering
关键词 信息处理技术 音乐信号处理 常数Q变换 离散傅里叶变换 音调提取 information processing technology music signal processing constant Q transform DFT: music pitch extraction
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参考文献5

  • 1[2]Judith C Brown. Calculation of a constant Q spectral transform[J]. J. Acoust. Soc. Am., 1991,89(1): 425-434.
  • 2[3]Judith C Brown. Musical fundamental frequency tracking using pattern recognition method[J].J.Acoust.Soc.Am,1992,92(3):1394-1402.
  • 3[4]Ozgur Izmirli. A Hierarchical Constant Q Transform for Partial Tracking in Musical Signals[A]. Proceedings of the 2nd COST G-6 Workshop on Digital Audio Effects (DAFx99)[C]. NTNU, Trondheim, December 9-11, 1999.
  • 4[5]Judith C Brown. Computer Identification of Musical Woodwind Instruments[A]. Invited lay language presentation for the Acoustical Society of America meeting[C]. May 30 - June 3, 2000.
  • 5[6]Judith C Brown , Miller S Puckette. An efficient algorithm for the calculation of a constant Q transform[J]. J. Acoust. Soc. Am., 1992 ,92(5): 2698-2701.

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