Taylor Series, Maximally Flat, and Zero Moment Design Criteria 1.1 2008/06/09 13:33:12.333 GMT-5 2008/06/24 00:08:12.261 GMT-5 C. Sidney Burrus csb@rice.edu Daniel Collins Williamson dwilliamson1285@gmail.com C. Sidney Burrus csb@rice.edu The third major approximation criterion uses some measure of the smoothness or flatness of the frequency response. Work has been done by Herrmann , P. P. Vaidyanathan, and Selesnick and Burrus , , , . This approach is related to how polynomial signals are processed and may be related to zero moments in wavelet systems. Herrmann, O. On the Approximation Problem in Nonrecursive Digital Filter Design IEEE Transactions on Circuit Theory 1971 18 411–413 May Reprinted in DSP reprints, IEEE Press, 1972, page 202 Selesnick, Ivan W. and Burrus, C. Sidney Exchange Algorithms for the Design of Linear Phase FIR Filters and Differentiators Having Flat Monotonic Passbands and Equiripple Stopbands IEEE Transactions on Circuits and Systems II 1996 43 9 671–675 September Selesnick, Ivan W. and Burrus, C. Sidney Generalized Digital Butterworth Filter Design IEEE Transactions on Signal Processing 1996 46 6 1688–1694 June Selesnick, Ivan W. and Burrus, C. Sidney Generalized Digital Butterworth Filter Design Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing 1996 3 III-1367–1370 IEEE ICASSP-96, Atlanta May 7–10 Selesnick, Ivan W. and Burrus, C. Sidney Maximally Flat Lowpass FIR Filters with Reduced Delay IEEE Transaction on Circuits and Systems: II 1998 45 1 53–68 January