Paper Info
Title
Optimal Synthesis of a Class of 2-D Digital Filters with Minimum L2-Sensitivity and No Overflow Oscillations
Abstract
The minimization problem of an L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints is formulated for a class of two-dimensional (2-D) state-space digital filters. First, the problem is converted into an unconstrained optimization problem by using linear-algebraic techniques. Next, the unconstrained optimization problem is solved by applying an efficient quasi-Newton algorithm with closed-form formula for gradient evaluation. The coordinate transformation matrix obtained is then used to synthesize the optimal 2-D state-space filter structure that minimizes the L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints. Finally, a numerical example is presented to illustrate the utility of the proposed technique.
Year
DOI
Venue
2006
10.1093/ietfec/e89-a.7.1987
IEICE Transactions
Keywords
Field
DocType
overflow oscillations,a class of 2-d state- space digital filters.,gradient evaluation,l2-norm dynamic-range,l2-sensitivity minimization,optimal synthesis,l2-sensitivity measure subject,linear-algebraic technique,closed-form formula,2-d digital filters,l2-scaling constraints,efficient quasi-newton algorithm,minimization problem,state-space digital filter,2-d state-space filter structure,unconstrained optimization problem,no overflow oscillations,minimum l2-sensitivity,linear algebra,coordinate transformation,state space,oscillations,digital filter,dynamic range
Minimization problem,Mathematical optimization,Oscillation,Digital filter,Algorithm,Theoretical computer science,Transformation matrix,Scaling,Optimization problem,Mathematics
Journal
Volume
Issue
ISSN
E89-A
7
0916-8508
Citations 
PageRank 
References 
1
0.37
6
Authors
5
Name
Order
Citations
PageRank
Takao Hinamoto115850.09
Ken-Ichi Iwata230.93
Osemekhian I. Omoifo331.20
Shuichi Ohno456155.04
Wu-Sheng Lu529624.90