Title :
2-D lattice discrete filters: minimal delay and state space realization
Author :
Antoniou, George E.
Author_Institution :
Dept. of Comput. Sci., Montclair State Univ., NJ, USA
Abstract :
A circuit realization is presented for two-dimensional (2-D) lattice discrete filters. The number of delay elements is minimal. Based on this circuit realization, the corresponding state space realization is derived. The matrices A, b, c´, and the scalar d of the 2-D state space model are presented in generalized form. The dimension of the 2-D state space vector is minimal, and the corresponding transfer function is characterized by the all-pass property.
Keywords :
all-pass filters; discrete time filters; lattice filters; matrix algebra; state-space methods; transfer functions; two-dimensional digital filters; 2D discrete time lattice filters; 2D lattice discrete filters; 2D state space model; all-pass property; minimal delay; state space realization; state space vector; transfer function; Circuits; Delay; Filters; Geophysics computing; Helium; Image processing; Lattices; State-space methods; Transfer functions; Two dimensional displays;
Journal_Title :
Signal Processing Letters, IEEE
