Name
Abstract | ||
|---|---|---|
This paper proposes a general formulation of the relationship between the state-space representations of a multidimensional (n-D) continuous system and an n-D discrete system which are related by the n-variable bilinear transformation such that the state-space representations of these two related systems can be directly calculated from each other. The new formulation is derived based on the theory of linear fractional transformation (LFT) and the resultant form is simple and concise. Moreover, the relations among the proposed formulation and the existing 1-D and 2-D results are investigated and it turns out that the new formulation includes these existing results as special cases. A numerical example is presented to illustrate the effectiveness of the proposed formulation. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.sigpro.2010.06.016 | Signal Processing |
Keywords | Field | DocType |
roesser state-space model,n-d discrete system,general formulation,n-variable bilinear transformation,existing result,continuous system,multidimensional system,new formulation,n -variable bilinear transformation,linear fractional transformation,state-space representation,general state-space representation,proposed formulation,related system,state space representation,state space model,discrete system | Applied mathematics,Signal processing,Mathematical optimization,Computer simulation,State-space representation,Variable transformation,Bilinear transform,Linear fractional transformation,Discrete system,Mathematics,Calculus,Multidimensional systems | Journal |
Volume | Issue | ISSN |
91 | 2 | Signal Processing |
Citations | PageRank | References |
1 | 0.35 | 9 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shi Yan | 1 | 127 | 19.94 |
| Natsuko Shiratori | 2 | 7 | 0.89 |
| Hsin-Jang Shieh | 3 | 163 | 16.51 |
| Li Xu | 4 | 226 | 34.88 |