Digital filter design
Discrete Orthonormal Sequences
Journal of the ACM (JACM)
Statistical Digital Signal Processing and Modeling
Statistical Digital Signal Processing and Modeling
Least-squares approximation of FIR by IIR digital filters
IEEE Transactions on Signal Processing
DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
Room impulse response shortening/reshaping with infinity- and p-norm optimization
IEEE Transactions on Audio, Speech, and Language Processing
A modal-based real-time piano synthesizer
IEEE Transactions on Audio, Speech, and Language Processing - Special issue on virtual analog audio Effects and musical instruments
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DSP-based correction of loudspeaker and room responses is becoming an important part of improving sound reproduction. Such response equalization (EQ) is based on using a digital filter in cascade with the reproduction channel to counteract the response errors introduced by loudspeakers and room acoustics. Several FIR and IIR filter design techniques have been proposed for equalization purposes. In this paper we investigate Kautz filters, an interesting class of IIR filters, from the point of view of direct least squares EQ design. Kautz filters can be seen as generalizations of FIR filters and their frequency-warped counterparts. They provide a flexible means to obtain desired frequency resolution behavior, which allows low filter orders even for complex corrections. Kautz filters have also the desirable property to avoid inverting dips in transfer function to sharp and long-ringing resonances in the equalizer. Furthermore, the direct least squares design is applicable to nonminimum-phase EQ design and allows using a desired target response. The proposed method is demonstrated by case examples with measured and synthetic loudspeaker and room responses.