On symmetric lattice digital-filter synthesis

The proposed symmetric lattice structures are shown to be free of zero-input limit cycles and by appropriately modifying them, constant-input limit cycles can also be eliminated. A procedure for efficiently synthesizing the modified symmetric lattices starting from the original Gray-Markel realizations is outlined. A comparison of the several realizations discussed with respect to output roundoff noise is made, and a degraded performance of the proposed structure for lowpass filters is observed. A solution to the lowpass design by introducing the fast/slow structures is proposed