2D four-channel perfect reconstruction filter bank realized with the 2D lattice filter structure

Authors:
S. Sezen;A. Ertüzün
Affiliations:
Department of Electrical and Electronics Engineering, Bogaziçi University, Bebek, Istanbul, Turkey;Department of Electrical and Electronics Engineering, Bogaziçi University, Bebek, Istanbul, Turkey
Venue:
EURASIP Journal on Applied Signal Processing
Year:
2006

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Abstract

A novel orthogonal 2D lattice structure is incorporated into the design of a nonseparable 2D four-channel perfect reconstruction filter bank. The proposed filter bank is obtained by using the polyphase decomposition technique which requires the design of an orthogonal 2D 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 2D four-channel perfect reconstruction lattice filter bank can be constructed from the 1D lattice filter and that this is a special case of the proposed 2D lattice filter bank under certain conditions. The perfect reconstruction property of the proposed 2D lattice filter approach is verified by computer simulations.