Name
Title | ||
|---|---|---|
Reduction of l2-sensitivity for three-dimensional separable-denominator digital filters |
Abstract | ||
|---|---|---|
The problem of reducing the deviation from a desired transfer function caused by the coefficient quantiza- tion errors is investigated for a three-dimensional (3- D) separable in denominator digital filter. To begin with, a 3-D transfer function with separable denomina- tor is represented with the cascade connection of three one-dimensional (1-D) transfer functions by applying a minimal decomposition technique, and the multi-input multi-output (MIMO) 1-D transfer function located in the middle of the cascade connection is realized by a minimal state-space model. Next, the l2-sensitivity of the state-space model is analyzed, and the minimiza- tion problem of the l2-sensitivity subject to l2-scaling constraints is formulated. This problem is then con- verted into an unconstrained optimization problem by using linear-algebraic techniques, and an efficient quasi- Newton algorithm is applied to solve it. A numerical example is presented to illustrate the validity and effec- tiveness of the proposed technique. |
Year | Venue | Keywords |
|---|---|---|
2009 | Glasgow | Newton method,digital filters,linear algebra,optimisation,3D separable-denominator digital filters,L2-sensitivity reduction,MIMO,coefficient quantization errors,linear-algebraic techniques,minimal decomposition technique,minimal state-space model,multi-input multi-output 1-D transfer function,quasi-Newton algorithm,unconstrained optimization problem |
DocType | ISBN | Citations |
Conference | 978-161-7388-76-7 | 0 |
PageRank | References | Authors |
0.34 | 2 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Takao Hinamoto | 1 | 158 | 50.09 |
| Osamu Tanaka | 2 | 0 | 1.01 |
| Masayoshi Nakamoto | 3 | 61 | 11.70 |
| Wu-Sheng Lu | 4 | 329 | 49.40 |