Abstract

In this paper, a linear phase finite impulse response (FIR) two-channel uniform maximally decimated modulated filter bank design problem is formulated as two functional inequality constrained optimization problems, in which the first optimization problem is to minimize the maximum ripple magnitude of the prototype filter subject to the specification on the maximum amplitude distortion of the filter bank, while the other optimization problem is to minimize the maximum amplitude distortion of the filter bank subject to the specification on the maximum ripple magnitude of the prototype filter. By solving these two optimization problems iteratively, the obtained solution minimizes both the maximum amplitude distortion of the filter bank and the maximum ripple magnitude of the prototype filter. The proof of the convergence of the iterative algorithm is given. Computer numerical simulation results show the effectiveness of the proposed method.