File:Elliptic Filter Response (4th Order).svg
From Wikimedia Commons, the free media repository
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 720 × 460 pixels. Other resolutions: 320 × 204 pixels | 640 × 409 pixels | 1,024 × 654 pixels | 1,280 × 818 pixels | 2,560 × 1,636 pixels.
Original file (SVG file, nominally 720 × 460 pixels, file size: 70 KB)
File information
Structured data
Captions
DescriptionElliptic Filter Response (4th Order).svg |
English: The response of a 4-th order elliptic filter. Also shown is the maximum extent of the passband ripples, where ε is the ripple factor and Ln is the discrimination factor. |
|||
Date | ||||
Source | Own work | |||
Author | Inductiveload | |||
Permission (Reusing this file) |
|
Mathematica Code
[edit]xp2[xi_] := Module[{g, num, den}, g = Sqrt[4*xi^2 + (4*xi^2*(xi^2 - 1))^(2/3)]; num = 2*xi^2*Sqrt[g]; den = Sqrt[8*xi^2*(xi^2 + 1) + 12*g*xi^2 - g^3] - Sqrt[g^3]; num/den]; xz2[xi_] := xi^2/xp2[xi]; t[xi_] := Sqrt[1 - 1/xi^2]; (*Use particular values for low-order functions*) r1[xi_, x_] := x; r2[xi_, x_] := ((t[xi] + 1)*x^2 - 1)/((t[xi] - 1)*x^2 + 1); r3[xi_, x_] := x*((1 - xp2[xi])*(x^2 - xz2[xi]))/((1 - xz2[xi])*(x^2 - xp2[xi])); (*Use nesting property for higher-degree functions*) r4[xi_, x_] := r2[r2[xi, xi], r2[xi, x]]; ellgain[xi_, w_, w0_, ep_] := 1/Sqrt[1 + ep^2*r4[xi, w/w0]^2]; Plot[ ellgain[1.05, w, 1, 0.5], {w, 0, 3}]
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 05:54, 29 January 2009 | 720 × 460 (70 KB) | Inductiveload (talk | contribs) | added ξ line | |
05:40, 29 January 2009 | 720 × 460 (68 KB) | Inductiveload (talk | contribs) | {{Information |Description={{en|1=The response of a 4-th order en:elliptic filter. Also shown is the maximum extent of the passband ripples, where ''ε'' is the ripple factor and ''L''<sub>n</sub> is the discrimination factor.}} |Source=Own w |
You cannot overwrite this file.
File usage on Commons
The following page uses this file:
File usage on other wikis
The following other wikis use this file:
- Usage on de.wikipedia.org
- Usage on en.wikipedia.org
- Usage on eo.wikipedia.org
- Usage on no.wikipedia.org
- Usage on ru.wikipedia.org
Hidden categories: