Iterative pole-zero estimation with a robust error criterion

An iterative method for simultaneous pole-zero parameterization of a given filter impulse response is presented. An error criterion is constructed and iteratively minimized. The error criterion emphasizes both spectral peaks and spectral valleys in the desired signal spectrum and results in a set of linear equations that can be readily solved. A comparison with well-known methods (e.g. Shanks´ and Kalman´s methods) shows that this simultaneous iterative method is substantially better. Experimental results also show that a significant reduction in error is achieved after only three or four iterations. Applications of this method include system identification and pole-zero modeling of speech