Pole zero estimation from speech signals by an iterative procedure

An iterative procedure is discussed to estimate poles and zeros of a rational transfer function from speech signals, which takes advantage of the individual solutions of AR and MA processes. Besides speech, analyses of test signals are also carried out, which lead to optimal results. In contrast to Prony´s and related methods, the algorithm doesn´t presuppose a pair of an input and output signal. The proposed procedure is specialised for the analysis of periodic signals, though it can be applied to nonperiodic signals, too. The algorithm combines two known partial solutions in an iterative way. The estimation of an all-pole model is obtained by the Burg method and the estimation of zeros by using the inverted signal in the spectral domain. It can be shown that the power spectrum of analyzed speech periods can be better modelled by poles and zeros especially with respect to the gaps in the spectrum