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Elliptic_filter abstract "An elliptic filter (also known as a Cauer filter, named after Wilhelm Cauer, or as a Zolotarev filter, after Yegor Zolotarev) is a signal processing filter with equalized ripple (equiripple) behavior in both the passband and the stopband. The amount of ripple in each band is independently adjustable, and no other filter of equal order can have a faster transition in gain between the passband and the stopband, for the given values of ripple (whether the ripple is equalized or not). Alternatively, one may give up the ability to independently adjust the passband and stopband ripple, and instead design a filter which is maximally insensitive to component variations.As the ripple in the stopband approaches zero, the filter becomes a type I Chebyshev filter. As the ripple in the passband approaches zero, the filter becomes a type II Chebyshev filter and finally, as both ripple values approach zero, the filter becomes a Butterworth filter.The gain of a lowpass elliptic filter as a function of angular frequency ω is given by:where Rn is the nth-order elliptic rational function (sometimes known as a Chebyshev rational function) and is the cutoff frequencyis the ripple factoris the selectivity factorThe value of the ripple factor specifies the passband ripple, while the combination of the ripple factor and the selectivity factor specify the stopband ripple.".
Elliptic_filter thumbnail Elliptic_Filter_Response_(4th_Order).svg?width=300.
Elliptic_filter wikiPageID "1875715".
Elliptic_filter wikiPageRevisionID "603287459".
Elliptic_filter filter "hide".
Elliptic_filter hasPhotoCollection Elliptic_filter.
Elliptic_filter subject Category:Electronic_design.
Elliptic_filter subject Category:Linear_filters.
Elliptic_filter subject Category:Network_synthesis_filters.
Elliptic_filter type Artifact100021939.
Elliptic_filter type Device103183080.
Elliptic_filter type Filter103339643.
Elliptic_filter type Instrumentality103575240.
Elliptic_filter type LinearFilters.
Elliptic_filter type NetworkSynthesisFilters.
Elliptic_filter type Object100002684.
Elliptic_filter type PhysicalEntity100001930.
Elliptic_filter type Whole100003553.
Elliptic_filter comment "An elliptic filter (also known as a Cauer filter, named after Wilhelm Cauer, or as a Zolotarev filter, after Yegor Zolotarev) is a signal processing filter with equalized ripple (equiripple) behavior in both the passband and the stopband. The amount of ripple in each band is independently adjustable, and no other filter of equal order can have a faster transition in gain between the passband and the stopband, for the given values of ripple (whether the ripple is equalized or not).".
Elliptic_filter label "Cauer-Filter".
Elliptic_filter label "Elliptic filter".
Elliptic_filter label "Filtre elliptique".
Elliptic_filter label "Filtro de Cauer".
Elliptic_filter label "Filtro ellittico".
Elliptic_filter label "Filtro elíptico".
Elliptic_filter label "Эллиптический фильтр".
Elliptic_filter label "椭圆函数滤波器".
Elliptic_filter label "楕円フィルタ".
Elliptic_filter sameAs Cauer-Filter.
Elliptic_filter sameAs Filtro_de_Cauer.
Elliptic_filter sameAs Filtre_elliptique.
Elliptic_filter sameAs Filtro_ellittico.
Elliptic_filter sameAs 楕円フィルタ.
Elliptic_filter sameAs Filtro_elíptico.
Elliptic_filter sameAs m.062z9v.
Elliptic_filter sameAs Q1051541.
Elliptic_filter sameAs Q1051541.
Elliptic_filter sameAs Elliptic_filter.
Elliptic_filter wasDerivedFrom Elliptic_filter?oldid=603287459.
Elliptic_filter depiction Elliptic_Filter_Response_(4th_Order).svg.
Elliptic_filter isPrimaryTopicOf Elliptic_filter.