The quality factor or Q of a resonator may be thought of as the number of cycles of oscillation at the resonant frequency in the impulse response of the resonator before it substantially decays to zero. — Click for https://ccrma.stanford.edu/~jos/filters/Quality_Factor_Q.html

Click for https://ccrma.stanford.edu/~jos/sasp/Polyphase_Decomposition.html

In digital signal processing, FIR is an acronym for Finite Impulse Response — Click for https://ccrma.stanford.edu/~jos/filters/FIR_Digital_Filters.html

A set of filters that decompose a signal into a set of components — Click for http://en.wikipedia.org/wiki/Filter_bank

Click for https://ccrma.stanford.edu/~jos/mdft/Orthogonality.html

A filter in the audio signal processing context is any operation that accepts a signal as an input and produces a signal as an output. Most practical audio filters are linear and time invariant, in which case they can be characterized by their impulse response or their frequency response. — Click for https://ccrma.stanford.edu/~jos/filters/What_Filter.html

Click for https://ccrma.stanford.edu/~jos/sasp/Critically_Sampled_Perfect_Reconstruction.html#30743

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Index: Spectral Audio Signal Processing

Spectral Audio Signal Processing

Multirate Filter Banks

Generalized STFT

Conclusions

In addition to [287] which was frequently cited in this chapter, [291], [160], [16], [273] are excellent references (books). The original paper by Princen and Bradley on time-domain aliasing cancellation is [214]. The Princen-Bradley filter bank is a special case of Lapped Orthogonal Transforms (LOT) [160] for which the overlap is 50%. It is also an orthogonal perfect reconstruction filter bank with first-order FIR polyphase filters. Other papers related to perceptual audio coding include [24,284,53,161,195,17,25,18,200,16,273]. An approximately invertible constant-Q transform, with FOSS matlab code, is described in [244].

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``Spectral Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2011, ISBN 978-0-9745607-3-1.
Copyright © 2022-02-28 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

Further Reading

``Spectral Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2011, ISBN 978-0-9745607-3-1. Copyright © 2022-02-28 by Julius O. Smith III Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

``Spectral Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2011, ISBN 978-0-9745607-3-1.
Copyright © 2022-02-28 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA), Stanford University