2D Four-Channel Perfect Reconstruction Filter Bank Realized with the 2D Lattice Filter Structure

In this paper, a novel orthogonal 2-D lattice structure is incorporated into the design of a nonseparable 2-D fourchannel perfect reconstruction filter bank. The proposed filter bank is obtained by using the polyphase decomposition technique which requires the design of an orthogonal 2-D lattice filter. Due to constraint of perfect reconstruction, each stage of this lattice filter bank is simply parameterized by two coefficients. The perfect reconstruction property is satisfied regardless of the actual values of these parameters and of the number of the lattice stages. It is also shown that a separable 2-D four-channel perfect reconstruction lattice filter bank can be constructed from the 1-D lattice filter and that this is a special case of the proposed 2-D lattice filter bank under certain conditions. The perfect reconstruction property of the proposed 2-D lattice filter approach is verified by computer simulations