A novel and efficient design of multidimensional PR two-channel filter banks with hourglass-shaped passband support

In this letter, we propose a new design technique for two-dimensional two-channel maximally decimated perfect reconstruction (PR) filter banks with hourglass-shaped spectral support. The proposed approach is different from the conventional design techniques in the sense that it does not require any modulator. Furthermore, the proposed design retains the separable filtering property, while ensuring that the overall system is structurally PR and maximally decimated. Moreover, we extend such structure to higher dimensional case and discuss several interesting properties. A design example is given to demonstrate the effectiveness of the proposed approach.