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Kautz filters and generalized frequency resolution - Theory and audio applications

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Frequency-warped filters have recently been applied successfully to a number of audio applications. The idea of allpass delay elements replacing unit delays in digital filters allows for focusing of enhanced frequency resolution on lowest (or highest) frequencies and enable good match to the psychoacoustic Bark scale. Kautz filters can be seen as a further generalization where each transversal element may be different, including complex conjugate poles. This enables arbitrary allocation of frequency resolution for filter design, such as modeling and equalization (inverse modeling) of linear systems. In this paper we formulate strategies for using Kautz filters in audio applications. Case studies of loudspeaker equalization, room response modeling, and guitar body modeling for sound synthesis are presented.

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