Name
Title | ||
|---|---|---|
Simple state-space formulations of 2-D frequency transformation and double bilinear transformation |
Abstract | ||
|---|---|---|
In this paper, an explicit relationship between the two-dimensional (2-D) frequency transformation and the theory of linear fractional transformation (LFT) representation is shown. Based on this relationship, a simple alternative state-space formulation of 2-D frequency transformation for 2-D digital filters is derived by utilizing the well-known Redheffer star product of LFT representations. The proposed formulation is then utilized to establish a simple relationship between the state-space representations of a 2-D continuous system and a 2-D discrete system which are related by the double bilinear transformation. Moreover, the inherent relations among the proposed formulations and the existing results are discussed. It turns out that all the existing results given in the literature can be unified as special or equivalent cases by the new state-space formulation of 2-D frequency transformation in a very concise and elegant form. Numerical examples are given to illustrate the effectiveness of the proposed formulations. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s11045-009-0092-5 | Multidim. Syst. Sign. Process. |
Keywords | Field | DocType |
Roesser state-space model,2-D digital filters,2-D frequency transformation,Double bilinear transformation,Linear fractional transformations | Discrete mathematics,Orthogonal transformation,Bilinear transform,Theorems and definitions in linear algebra,Direct linear transformation,Star product,Linear fractional transformation,State space,Discrete system,Mathematics | Journal |
Volume | Issue | ISSN |
21 | 1 | 0923-6082 |
Citations | PageRank | References |
6 | 0.54 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shi Yan | 1 | 127 | 19.94 |
| Natsuko Shiratori | 2 | 7 | 0.89 |
| Li Xu | 3 | 226 | 34.88 |