Lattice structures for optimal design and robust implementation of two-channel perfect-reconstruction QMF banks

Abstruct-A lattice structure and an algorithm are presented for the design of two-channel QMF banks, satisfying a sufficient condition for perfect reconstruction. The structure inherently has the perfect-reconstruction property, Hhile the algorithm ensures a good stophand attenuation for each of the analysis filters. Implementations of such lattice structures are robust in the sense that the perfect-reconstruction property is preserved in spite of coefficient quantization. The lattice structure has a hierarchical property, in the sense that a higher order perfect-reconstruction QMI; hank can he obtained from a lower order perfect-reconstruction QMF bank, siniply by adding more lattice sections. Several numerical examples are provided in the form of design tables.