On two-channel orthogonal and symmetric complex-valued FIR filter banks and their corresponding wavelets

Two-channel orthogonal and symmetric complex-valued FIR filter banks and their corresponding wavelets are investigated. First, the conditions for the filter bank to be orthogonal, symmetric and regular are presented. Then, a complete and minimal lattice structure is developed, which enables a general design approach for filter banks and wavelets with arbitrary length and arbitrary order of regularity. Finally, two integer implementation methods that preserve the perfect reconstruction property are proposed. Their performances are evaluated via experimental results.