Global Optimization Design of Qmf Filter Banks
نویسندگان
چکیده
Benjamin W. Wah, Yi Shang, Tao Wang, and Ting Yu Coordinated Science Laboratory University of Illinois at Urbana-Champaign 1308 West Main Street Urbana, IL 61801, USA fwah, shang, wangtao, [email protected] ABSTRACT In this paper, we present a new global optimization method for designing QMF (quadrature mirror lters) lter banks. We formulate the design problem as a nonlinear constrained optimization problem, using the reconstruction error as the objective, and the stopband ripple, stopband energy, passband ripple, passband energy and transition bandwidth as constraints. This formulation allows us to search for solutions that improves with respect to the objective, and that performs better than or equal to the best existing designs with respect to the constrained measures. We present NOVEL, a global optimization method we have developed for solving nonlinear continuous constrained optimization problems, and apply it to nd improved designs. We also show that relaxing the constraints on transition bandwidth and stopband energy will lead to signi cant improvements in the other performance measures.
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