Selectivity nomographs for classical filters

Lindquist, C.S.; Corral, C.A.

doi:10.1016/s0016-0032(02)00015-7

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Poles and Zeros Of Inverse Ultraspherical Filters1

Selectivity and Transition Bandwidth1

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2002

2006

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Cited by 3 publications

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“…The evaluation of zeros of the ultraspherical polynomials is a complex task involving the determination of zeros of Bessel functions [20]. It may be useful to instead iterate on the desired value of ω from the basic recursive relation of (4),…”

Section: Poles and Zeros Of Inverse Ultraspherical Filtersmentioning

confidence: 99%

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Inverse Ultraspherical Filters

Corral¹

2005

Analog Integr Circ Sig Process

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The inverse ultraspherical filter is derived and its properties analyzed. It is shown that the inverse ultraspherical filter has smaller transition band than the inverse Chebyshev filter under certain circumstances while still maintaining the maximally flat passband characteristic. Filter pole and zero calculations are described and typical magnitude and delay responses generated. Nomographs of inverse ultraspherical filters are also provided for determining filter order and for possible magnitude response optimization.

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Section: Poles and Zeros Of Inverse Ultraspherical Filtersmentioning

confidence: 99%

“…The passband frequency ω p < 1 is not easily determined as it is a function of the ultraspherical polynomial. We may, however, choose to approximate it through the relation [20] …”

Section: Selectivity and Transition Bandwidthmentioning

confidence: 99%