Name
Title | ||
|---|---|---|
Frequency-weighted L2-sensitivity minimization for 2-D state-space digital filters subject to L2-scaling constraints by a quasi-Newton method |
Abstract | ||
|---|---|---|
This paper considers the problem of minimizing a frequency-weighted l2-sensitivity measure subject to l2-scaling constraints for 2-D state-space digital filters. First, the frequency-weighted l2-sensitivity is analyzed for 2-D state-space digital filters described by the Roesser local state-space model. Next, the minimization problem of the frequency-weighted l2-sensitivity subject to l2-scaling constraints is formulated. The constrained optimization problem is then converted into an unconstrained optimization formulation by using linear-algebraic techniques. An efficient quasi-Newton algorithm with closed-form formula for gradient evaluation is applied to solve the unconstrained optimization problem. The optimal state-space filter structure with minimum frequency-weighted l2-sensitivity and no overflow oscillations is constructed by applying the optimal coordinate transformation. Finally, a numerical example is presented to demonstrate the validity and effectiveness of the proposed technique. |
Year | Venue | Keywords |
|---|---|---|
2007 | EUSIPCO | newton method,digital filters,linear algebra,minimisation,state-space methods,2d state-space digital filters,l2-scaling constraints,roesser local state-space model,frequency-weighted l2-sensitivity minimization,linear-algebraic techniques,minimization problem,quasinewton algorithm,unconstrained optimization formulation,unconstrained optimization problem |
DocType | ISBN | Citations |
Conference | 978-839-2134-04-6 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Takao Hinamoto | 1 | 158 | 50.09 |
| Osemekhian I. Omoifo | 2 | 0 | 0.68 |
| Wu-Sheng Lu | 3 | 329 | 49.40 |