A LATTICE REALIZATION FOR 2-D SEPARABLE-DENOMINATOR DIGITAL-FILTERS

New properties useful in connection with 1-D and 2-D lattice realizati ons are developed. These properties enable one to represent given, com plicated 2-D separable-denominator digital filters in terms of simpler , more elemental building blocks which consist of two 1-D lattice real izations having dynamics in different directions and connected in a ca scade form. The matrix-relationship between a 2-D discrete Schwarz for m and a controller-observer canonical form is also derived. A notable property of the proposed 2-D lattice realization is that the impulse r esponse energy of a 2-D separable-denominator digital filter can be re adily obtained from the reflection coefficients and input/output tappe d coefficients of the realization.