Optimization approach to the design of frequency sampling filters
Journal of Optimization Theory and Applications
Design of maximally flat IIR filters with flat group delay responses
Signal Processing
Flat magnitude response FIR halfband low/high pass digital filters with narrow transition bands
Digital Signal Processing
Hi-index | 0.00 |
Maximally-flat (MAXFLAT) FIR filter design still has a problem in overcoming the cutoff-frequency error due to approximation of the desired frequency response by some closed-form solution. In order to overcome such a difficulty, this paper describes a new method for the design of nonrecursive FIR filters with simultaneously MAXFLAT magnitude and accurate cutoff frequency. The proposed method provides a general formula to find interpolation coefficients for a new closed-form expression of this filter type, obtained by solving solutions of linear differential equations that are derived from the maximal flatness and cutoff-frequency conditions. In addition, this method efficiently determines the optimal degree of flatness by using a powerful objective error function derived from this closed-form solution, and allows direct and simple computation of the coefficients of the filter with the desired frequency response. The design examples are shown to provide a complete and accurate solution for the design of such filters.