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| Keywords: Elliptic Filter Response (4th Order).svg elliptic filter Also shown is the maximum extent of the passband ripples where is the ripple factor and L<sub>n</sub> is the discrimination factor own Inductiveload 2009-01-29 Mathematica Code <pre><nowiki> xp2xi_ Module g num den g Sqrt4 xi 2 + 4 xi 2 xi 2 - 1 2/3 ; num 2 xi 2 Sqrtg; den Sqrt8 xi 2 xi 2 + 1 + 12 g xi 2 - g 3 - Sqrtg 3; num/den; xz2xi_ xi 2/xp2xi; txi_ Sqrt1 - 1/xi 2; Use particular values for low-order functions r1xi_ x_ x; r2xi_ x_ txi + 1 x 2 - 1 / txi - 1 x 2 + 1 ; r3xi_ x_ x 1 - xp2xi x 2 - xz2xi / 1 - xz2xi x 2 - xp2xi ; Use nesting property for higher-degree functions r4xi_ x_ r2r2xi xi r2xi x; ellgainxi_ w_ w0_ ep_ 1/Sqrt1 + ep 2 r4xi w/w0 2; Plot ellgain1 05 w 1 0 5 w 0 3 </nowiki></pre> Elliptic filters | ||||
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