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In mathematics and signal processing, the constant-Q transform and variable-Q transform, simply known as CQT and VQT, transforms a data series to the frequency domain. It is related to the Fourier transform and very closely related to the complex Morlet wavelet transform. Its design is suited for musical representation. The transform can be thought of as a series of filters fk, logarithmically spaced in frequency, with the k-th filter having a spectral width δfk equal to a multiple of the previous filter's width:

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  • Constant-Q transform (en)
  • 常數Q轉換 (zh)
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  • 常數Q轉換（Constant Q transform）與短時距傅立葉轉換一樣為重要時頻分析工具，其中特別適用於音樂信號的分析，這個轉換產生的頻譜最大的特色是在於頻率軸為對數標度（log scale）而不是線性標度（linear scale），且窗口長度（window length）會隨著頻率而改變。 (zh)
  • In mathematics and signal processing, the constant-Q transform and variable-Q transform, simply known as CQT and VQT, transforms a data series to the frequency domain. It is related to the Fourier transform and very closely related to the complex Morlet wavelet transform. Its design is suited for musical representation. The transform can be thought of as a series of filters fk, logarithmically spaced in frequency, with the k-th filter having a spectral width δfk equal to a multiple of the previous filter's width: (en)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/C-major-piano-chord-waveform.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/CQT-piano-chord.png
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  • In mathematics and signal processing, the constant-Q transform and variable-Q transform, simply known as CQT and VQT, transforms a data series to the frequency domain. It is related to the Fourier transform and very closely related to the complex Morlet wavelet transform. Its design is suited for musical representation. The transform can be thought of as a series of filters fk, logarithmically spaced in frequency, with the k-th filter having a spectral width δfk equal to a multiple of the previous filter's width: where δfk is the bandwidth of the k-th filter, fmin is the central frequency of the lowest filter, and n is the number of filters per octave. (en)
  • 常數Q轉換（Constant Q transform）與短時距傅立葉轉換一樣為重要時頻分析工具，其中特別適用於音樂信號的分析，這個轉換產生的頻譜最大的特色是在於頻率軸為對數標度（log scale）而不是線性標度（linear scale），且窗口長度（window length）會隨著頻率而改變。 (zh)
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