Name
Title | ||
|---|---|---|
Minimization Of Frequency-Weighted L(2)-Sensitivity Subject To L(2)-Scaling Constraints For Two-Dimensional State-Space Digital Filters |
Abstract | ||
|---|---|---|
This paper investigates the problem of frequency-weighted l(2)-sensitivity minimization subject to l(2)-scaling constraints for two-dimensional (2-D) state-space digital filters described by the Roesser model. It is shown that the Fornasini-Marchesini second model can be imbedded in the Roesser model. Two iterative methods are developed to solve the constrained. optimization problem encountered. The first iterative method introduces a Lagrange function and optimizes it using some matrix-theoretic techniques and an efficient bisection method. The second iterative method converts the problem into an unconstrained optimization formulation by using linear-algebraic techniques and solves it by applying an efficient quasi-Newton algorithm. The optimal filter structure with minimum frequency-weighted l(2)-sensitivity and no overflow is then synthesized by an appropriate coordinate transformation. Case studies are presented to demonstrate the validity and effectiveness of the proposed techniques. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1109/TSP.2008.929115 | IEEE TRANSACTIONS ON SIGNAL PROCESSING |
Keywords | DocType | Volume |
bisection method, Fornasini-Marchesini's second model, frequency-weighted l(2)-sensitivity minimization, Lagrange function, l(2)-scaling constraints, no overflow, quasi-Newton method, Roesser's model, 2-D digital filters | Journal | 56 |
Issue | ISSN | Citations |
10 | 1053-587X | 2 |
PageRank | References | Authors |
0.50 | 5 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Takao Hinamoto | 1 | 158 | 50.09 |
| Toru Oumi | 2 | 4 | 1.24 |
| Osemekhian I. Omoifo | 3 | 3 | 1.20 |
| Wu-Sheng Lu | 4 | 296 | 24.90 |