A New Canonic Lattice Realization of Arbitrary FIR Transfer Functions

Abstract

A new lattice structure is presented for realizing a pair of arbitrary FIR transfer functions of the same order, which is canonic in multipliers as well as delays. By a simple modification of the procedure, one can also obtain a canonic realization of a single FIR transfer function. The problem cases have been discussed, along with their solutions, and the limitations of the method have been pointed out. Examples have been worked out to illustrate the theory.

Indexing terms:

• FIR Lattice
• Canonic realization
• Linear phase design
• Digital filter