Title :
Optimal finite impulse response approximate inverse of linear periodic filters
Author :
Wu, J.-Y. ; Lin, C.-A.
Author_Institution :
Dept. of Commun. Eng., Nat. Chiao-Tung Univ., Hsinchu, Taiwan
fDate :
4/6/2006 12:00:00 AM
Abstract :
A method to construct an optimal finite impulse response (FIR) approximate inverse for discrete-time causal FIR periodic filters in the presence of measurement noise is proposed. The objective function to be minimised is the sum-of-mean-square errors over one period. On the basis of the matrix impulse response of the multi-input multi-output time-invariant representation of periodic filters, the optimisation problem is formulated as one that minimises the summed equation errors of a set of over-determined linear equations. It is shown that the problem is equivalent to a set of least-squares problems from which a simple, closed-form solution is obtained. Numerical examples are used to illustrate the performance of the proposed FIR approximate inverse.
Keywords :
FIR filters; MIMO systems; least squares approximations; matrix algebra; optimisation; discrete-time causal FIR periodic filters; least-squares problems; linear periodic filters; matrix impulse response; multiinput multioutput time-invariant representation; optimal finite impulse response approximate inverse; optimisation problem; sum-of-mean-square errors;
Journal_Title :
Vision, Image and Signal Processing, IEE Proceedings -
DOI :
10.1049/ip-vis:20045118