This paper proposes a method to perform the continuous analysis of speech signals using the Prony method. The Prony method can estimate the transfer function of autoregressive-moving average (ARMA) model. However, in the estimation based on the Prony method, the zeros are often found out as the unstable roots when the beginning point of sampled data has not been appropriate.
In this paper, we first estimate the vocal tract impulse response from speech signals by using homomorphic analysis. Next, the transfer function of ARMA model can be calculated by applying the Prony method to the impulse response. The proposed method can perfectly estimate the poles and zeros as the stable roots.