New stable IIR modeling of long FIR filters with low complexity

This paper presents a new efficient method for stable pole-zero modeling of long finite impulse response (FIR) filters. The proposed method is based on the formulation of a generalized system identification problem using the minimum mean-square error (MMSE) criterion. A computationally efficient MMSE solution is then derived by exploiting the structured matrices. The proposed method is general and applicable to cases with unequal numbers of poles and zeros. Compared with the generalized ARMA-Levinson algorithm, the proposed method has lower computational complexity without loss of accuracy. Numerical results are provided to demonstrate the effectiveness of the proposed method.