Skip to content Skip to navigation

Connexions

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

Navigation

Lenses

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.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

This content is ...

Affiliated with (What does "Affiliated with" mean?)

This content is either by members of the organizations listed or about topics related to the organizations listed. Click each link to see a list of all content affiliated with the organization.
  • Featured Content

    This module is included inLens: Connexions Featured Content
    By: ConnexionsAs a part of collection:"Digital Signal Processing and Digital Filter Design (Draft)"

    Click the "Featured Content" link to see all content affiliated with them.

Recently Viewed

This feature requires Javascript to be enabled.

Taylor Series, Maximally Flat, and Zero Moment Design Criteria

Module by: C. Sidney Burrus. E-mail the author

User rating (How does the rating system work?)
Ratings

Ratings allow you to judge the quality of modules. If other users have ranked the module then its average rating is displayed below. Ratings are calculated on a scale from one star (Poor) to five stars (Excellent).

How to rate a module

Hover over the star that corresponds to the rating you wish to assign. Click on the star to add your rating. Your rating should be based on the quality of the content. You must have an account and be logged in to rate content.

:
(0 ratings)

The third major approximation criterion uses some measure of the smoothness or flatness of the frequency response. Work has been done by Herrmann [1], P. P. Vaidyanathan, and Selesnick and Burrus [3], [4], [2], [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.

Content actions

Give Feedback:

E-mail the module author | Rate module ( How does the rating system work?)

Rating system

Ratings

Ratings allow you to judge the quality of modules. If other users have ranked the module then its average rating is displayed below. Ratings are calculated on a scale from one star (Poor) to five stars (Excellent).

How to rate a module

Hover over the star that corresponds to the rating you wish to assign. Click on the star to add your rating. Your rating should be based on the quality of the content. You must have an account and be logged in to rate content.

(0 ratings)

Download:

Module PDF

Add module to:

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 (?)

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.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks