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What is Constant Q Transform mean?
In mathematics and signal processing, the constant-Q transform, simply known as CQT 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.
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:
δ f k = 2 1 / n ⋅ δ f k − 1 = ( 2 1 / n ) k ⋅ δ f min , {\displaystyle \delta f_{k}=2^{1/n}\cdot \delta f_{k-1}=\left(2^{1/n}\right)^{k}\cdot \delta f_{\text{min}},}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.
referencePosted on 28 Oct 2024, this text provides information on Miscellaneous in Electronics related to Electronics. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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