Dept. of Electr. Eng., National Taiwan Univ.Wang, Peng-HuaPeng-HuaWangSOO-CHANG PEI2007-04-192018-07-062007-04-192018-07-062000-0615206149http://ntur.lib.ntu.edu.tw//handle/246246/2007041910021491In this paper, we propose a closed-form design of the generalized maximally flat low-pass FIR filters. By representing the transfer function as the Bernstein polynomial form, a simple generating function of the weighting coefficients is derived. We show that the linear phase maximally flat FIR filters and the nonlinear phase maximally flat half-band FIR filters are both special cases of the proposed filter. Closed-form expressions of both linear and nonlinear phase maximally flat FIR filters with prescribed degrees of flatness and delay can be easily obtained by the proposed method. © 2000 IEEE.application/pdf367984 bytesapplication/pdfen-USBandpass filters; Butterworth filters; Low pass filters; Signal processing; Approximation theory; Frequency response; Linear equations; Low pass filters; Nonlinear equations; Polynomials; Transfer functions; Bernstein polynomial; Closed form; Closed-form expression; Generating functions; Linear phase; Maximally flat; Nonlinear phase; Weighting coefficient; FIR filters; FIR filters; Bernstein polynomial; Closed form design; Generating functions; Weighting coefficientconference paper10.1109/ICASSP.2000.8620172-s2.0-0033690892http://ntur.lib.ntu.edu.tw/bitstream/246246/2007041910021491/1/00862017.pdf