Infinite impulse response inverse filters based on system identification with singular value decomposition

Abstract

The authors propose infinite impulse response (IIR) inverse filters for equalizing non-minimum phase acoustic plants through accurate system identification. System identification of an acoustic plant is an essential and important process in designing a controller for the plant, such as an inverse filter. In the previous paper, one of the authors has introduced the singular value decomposition (SVD) method for system identification of an enclosed sound field. The SVD method, which is the state space model-based system identification technique, involves the characteristics of experimental modal analysis. The author has verified that the SVD method has several advantages, such as high precision of identification. The proposed IIR inverse filter is simple inversion of the transfer function of the accurately identified model of an acoustic plant through the SVD method. The poles outside the unit circle in the z-plane, which are originated with the non-minimum phase zeros of the identified plant, are reflected ...