A State Space Approach to the Inverse of LPTV Filters

Author

Chen, Xiaofang ; Zhang, Cishen ; Zhang, Jingxin

Author_Institution

Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ.

Volume

3

fYear

2006

fDate

14-19 May 2006

Abstract

In this paper, a state space approach for computing the inverse of a general single-input single-output linear periodically time-varying filter is proposed. The inverse of the filter is derived by first constructing the inverse of an LPTV filter. The result is then extended to obtain the inverse of the IIR filter. Compared with existing approaches using other techniques, the proposed approach is quite straightforward, hence, can reduce the computational complexity

Keywords

IIR filters; computational complexity; filtering theory; matrix algebra; state-space methods; time-varying filters; IIR filter; LPTV filter inverse; computational complexity; general single-input single-output linear periodically time-varying filter; infinite impulse response filter; state space approach; Channel bank filters; Computational complexity; Digital filters; Filter bank; Finite impulse response filter; IIR filters; Matrix converters; Nonlinear filters; Space technology; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on

Conference_Location

Toulouse

ISSN

1520-6149

Print_ISBN

1-4244-0469-X

Type

conf

DOI

10.1109/ICASSP.2006.1660733

Filename

1660733