Title :
H2 optimal inverse of periodic FIR digital filters
Author :
Wang, Song ; Xie, Lihua ; Zhang, Cishen
Author_Institution :
Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
fDate :
9/1/2000 12:00:00 AM
Abstract :
The objective of this correspondence is to design a fixed-order H 2 optimal inverse filter of a given periodic FIR digital filter in the presence of measurement noise. The problem is solved by using a linear matrix inequality (LMI) approach to an equivalent time-invariant H2 optimization problem constructed by applying the lifting technique to the original periodic problem. An example is given to demonstrate the effectiveness of the proposed design approach
Keywords :
FIR filters; circuit optimisation; digital filters; filtering theory; inverse problems; matrix algebra; signal reconstruction; time-varying filters; H2 optimal inverse filter; LMI approach; fixed-order filter; lifting technique; linear matrix inequality approach; measurement noise; periodic FIR digital filters; signal reconstruction; time-invariant H2 optimization problem; Digital filters; Digital signal processing; Finite impulse response filter; Linear matrix inequalities; Multidimensional signal processing; Noise measurement; Nonlinear filters; Signal processing; Signal processing algorithms; Signal reconstruction;
Journal_Title :
Signal Processing, IEEE Transactions on
