Lattice structure is applied in a wide range of areas due to its excellent finite word length (FWL) properties.The normalized lattice structure is orthogonal

but for an

N

th-order digital filter

it needs 5

N

+1 multipliers.To decrease the computing complexity while keeping the orthogonality unchanged

the scaled elementary lattice and the corresponding lattice structure were derived based on the one-

two-

and three-multiplier lattice

respectively.The simulation result indicates when the scaled one-multiplier lattice is applied

the proposed structure has close performance compared with the normalized lattice structure

but it is more efficient for the real-time signal processing

for it needs only 2

N

+1 multipliers

much less than that in the normalized lattice structure.