Skip to content Skip to navigation

Connexions

You are here: Home » Content » Taylor Series, Maximally Flat, and Zero Moment Design Criteria

Navigation

Content Actions
  • Download module PDF
  • Add to ...
    Add the module to:
    • My Favorites
    • A lens
    • An external social bookmarking service
    • My Favorites (What is 'My Favorites'?)
      'My Favorites' is a special kind of lens which you can use to bookmark modules and collections directly in Connexions. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need a Connexions account to use 'My Favorites'.
    • A lens (What is a lens?)

      Definition of a lens

      Lenses

      A lens is a custom view of Connexions content. You can think of it as a fancy kind of list that will let you see Connexions through the eyes of organizations and people you trust.

      What is in a lens?

      Lens makers point to Connexions materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

      Who can create a lens?

      Any individual Connexions member, a community, or a respected organization.

    • External bookmarks
  • E-mail the author

Recently Viewed

This feature requires Javascript to be enabled.

Taylor Series, Maximally Flat, and Zero Moment Design Criteria

Module by: C. Sidney Burrus

The third major approximation criterion uses some measure of the smoothness or flatness of the frequency response. Work has been done by Herrmann Entry 1, P. P. Vaidyanathan, and Selesnick and Burrus Entry 3, Entry 4, Entry 2, Entry 5. This approach is related to how polynomial signals are processed and may be related to zero moments in wavelet systems.

References

  1. Herrmann, O. (1971, May). On the Approximation Problem in Nonrecursive Digital Filter Design. [Reprinted in DSP reprints, IEEE Press, 1972, page 202]. IEEE Transactions on Circuit Theory, 18, 411–413.
  2. Selesnick, Ivan W. and Burrus, C. Sidney. (1996, September). 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, 43(9), 671–675.
  3. Selesnick, Ivan W. and Burrus, C. Sidney. (1996, June). Generalized Digital Butterworth Filter Design. IEEE Transactions on Signal Processing, 46(6), 1688–1694.
  4. Selesnick, Ivan W. and Burrus, C. Sidney. (1996, May 7–10). Generalized Digital Butterworth Filter Design. In Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing. (Vol. 3, pp. III-1367–1370). IEEE ICASSP-96, Atlanta
  5. Selesnick, Ivan W. and Burrus, C. Sidney. (1998, January). Maximally Flat Lowpass FIR Filters with Reduced Delay. IEEE Transaction on Circuits and Systems: II, 45(1), 53–68.

Comments, questions, feedback, criticisms?

Send feedback