Multirate systems and filter banks
Multirate systems and filter banks
Robust and optimal control
H2 and $H_\infty$ Robust Filtering for Discrete-Time Linear Systems
SIAM Journal on Control and Optimization
A direct approach to the design of QMF banks via frequency domainoptimization
IEEE Transactions on Signal Processing
Design of multirate filter banks by ℋ∞optimization
IEEE Transactions on Signal Processing
L2 optimal filter reduction: a closed-loop approach
IEEE Transactions on Signal Processing
Robust and reduced-order filtering: new LMI-based characterizationsand methods
IEEE Transactions on Signal Processing
A mixed norm performance measure for the design of multiratefilterbanks
IEEE Transactions on Signal Processing
Improved robust H2 and H∞ filtering for uncertain discrete-time systems
Automatica (Journal of IFAC)
Hi-index | 0.08 |
Based on linear matrix inequality (LMI) technique, a new design method is proposed for the reduced-order filters of continuous and discrete time linear systems. The method is derived from decomposing the key matrix in LMIs which determines the order of designed filters. Different from the existing methods, the proposed method first minimizes the upper bound of the key matrix and then eliminates its near-zero eigenvalues, which results in a simpler, more direct and reliable design procedure. The proposed method can be used to design H"2 and H"~ reduced-order filters and multirate filter banks. Its effectiveness is illustrated by several examples.