A new nonlinear optimization algorithm for asymmetric FIR digital filters
- 17 December 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 2, 541-544 vol.2
- https://doi.org/10.1109/iscas.1994.409045
Abstract
A new nonlinear optimization algorithm is presented for designing lowpass asymmetric FIR digital filters. The new algorithm is based on the iterative use of the generalized multiple exchange (GME) algorithm. The new algorithm can design optimal filters that simultaneously meet specifications on the group delay and the magnitude of the frequency response. The algorithm is based on nonlinear optimization because the frequency response magnitude and group delay are nonlinear functions of the filter coefficients. This ISCAS-94 paper includes a filter design example with specifications on the maximum permissible errors in the group delay and the frequency response magnitude. In spite of the nonlinearities in this design problem, the new algorithm determines a unique optimal solution. A mathematical proof of optimality is included.Keywords
This publication has 2 references indexed in Scilit:
- New approaches to constrained optimization of digital filtersPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- A novel implementation for narrow-band FIR digital filtersIEEE Transactions on Acoustics, Speech, and Signal Processing, 1975