Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
Multirate systems and filter banks
Multirate systems and filter banks
Adaptive filter theory (3rd ed.)
Adaptive filter theory (3rd ed.)
A novel approach to the design of oversampling low-delay complex-modulated filter bank pairs
EURASIP Journal on Advances in Signal Processing - Special issue on digital signal processing for hearing instruments
Two-channel linear phase FIR QMF bank minimax design via global nonconvex optimization programming
IEEE Transactions on Signal Processing
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Subband adaptive filters have been proposed to speed up the convergence and to lower the computational complexity of time domain adaptive filters. However, subband processing causes signal degradations due to aliasing effects and amplitude distortions. This problem is unavoidable due to further filtering operations in subbands. In this paper, the problem of aliasing effect and amplitude distortion is studied. The prototype filter design problem is formulated as a multicriteria optimization problem and all the Pareto optima are sought. Since the problem is highly nonlinear and nonsmooth, a new hybrid optimization method is proposed. Different prototype filters are used and their performances are compared. Moreover, the effect of the number of subbands, the oversampling factors and the length of prototype filter are also studied. We find that prototype filters designed via Kaiser or Dolph-Chebyshev window provide the best overall performance. Also, there is a critical oversampling factor beyond which the improvement in performance is not justified. Finally, if the length of the prototype filter increases with the number of subbands, an increase in the subband level will not deteriorate the performance.