Authors:
Takao Hinamoto
;
Yukihiro Shibata
and
Masayoshi Nakamoto
Affiliation:
Graduate School of Engineering, Hiroshima University, Japan
Keyword(s):
Two-dimensional (2-D) state-space digital filters, separable denominator, l2 -sensitivity, l2 -scaling constraints,
scaling-constrained sensitivity minimization, optimal realization.
Related
Ontology
Subjects/Areas/Topics:
Informatics in Control, Automation and Robotics
;
Optimization Problems in Signal Processing
;
Signal Processing, Sensors, Systems Modeling and Control
Abstract:
The problem of minimizing l2 -sensitivity subject to l2 -scaling constraints for two-dimensional (2-D)
separable-denominator state-space digital filters is investigated. The coefficient sensitivity of the filter is analized by using a pure l2 -norm. An iterative algorithm for minimizing an l2 -sensitivity measure subject to l2 -scaling constraints is then explored by introducing a Lagrange function and utilizing an efficient bisection method. A numerical example is also presented to illustrate the utility of the proposed technique.