Discrete pole-zero modeling and applications

A method is introduced for pole-zero modeling of spectral envelopes when only a discrete set of spectral values is given. This method, which is called discrete pole-zero (DPZ) modeling, uses a discrete version of the Itakura-Saito distortion measure as its error criterion. The authors introduce an efficient iterative algorithm for the estimation of the pole-zero parameters that is guaranteed to converge to a locally optimal model. They apply DPZ modeling to the estimation of speech spectral envelopes and to the design of digital filters