New results on state-space formulation of 2-D frequency transformation
Yan Shi, Natsuko Shiratori, Li Xu · 2008
This paper presents a new state-space formulation of 2-D frequency transformation for 2-D digital filters. By investigating the inherent structural relations among the prototype filter, the all-pass transformation filters and the transformed filter, a concise and elegant state-space formulation of 2-D frequency transformation is derived, which unifies all the existing results for both 1-D and 2-D cases. Numerical examples are given to illustrate the effectiveness of the proposed formulation.