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Error Weighting and Frequency Warping

Audio filter designs typically benefit from an error weighting function that weights frequencies according to their audibility. An oversimplified but useful weighting function is simply $ 1/\omega$ , in which low frequencies are deemed generally more important than high frequencies. Audio filter designs also typically improve when using a frequency warping, such as described in [88,78] (and similar to that in §I.3.2). In principle, the effect of a frequency-warping can be achieved using a weighting function, but in practice, the numerical performance of a frequency warping is often much better.


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``Introduction to Digital Filters with Audio Applications'', by Julius O. Smith III, (September 2007 Edition).
Copyright © 2014-03-23 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA