Modeling of long and complex responses using Kautz filters and time-domain partitions

A special form of pole-zero filters called Kautz filters has proven to be well suited for modeling complicated resonant systems such as room impulse responses and musical instrument body responses. The Kautz filter is a tapped transversal filter defined by a set of stable poles and a corresponding set of tap-output weights. The tap-output impulse responses are orthonormal, providing valuable means for optimization and control of the model. The essential task is thus how to generate the poles, to which we have proposed an efficient procedure and various modifications that include combined warping, subband and multirate techniques. In this paper we continue to develop strategies for spitting the modeling of a long and complex target response into manageable portions. In particular, two partitions in the time-domain are proposed for modeling measured room impulse responses: a brute force polyphase decomposition and a more sophisticated segmentation of the early response.