2-D lattice discrete filters: minimal delay and state spacerealization

摘要

A circuit realization is presented for two-dimensional (2-D)nlattice discrete filters. The number of delay elements is minimal. Basednon this circuit realization, the corresponding state space realizationnis derived. The matrices A, b, c', and the scalar d of the 2-D statenspace model are presented in generalized form. The dimension of the 2-Dnstate space vector is minimal, and the corresponding transfer functionnis characterized by the all-pass property