Designing band-pass filters with optimal redundancy parameters

Milosavljevic, Z.D.; Gmitrovic, M.V.

doi:10.1109/telsks.1999.804711

Cited by 5 publications

(2 citation statements)

References 2 publications

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“…In this case, it should either generate the sum of the product modified jacobi polynomial, or Christoffel-Darboux formula be applied separately to the both orthonormal Jacobi polynomials as: Generally, for microwave applications modified orthogonal jacobi as filter function may be also used. the most widely used filters in microwave applications are a band-pass filters [30]. Using lowpass to bandpass frequency transformation of lumped element lowpass filter, the series inductor converts to the series resonator and parallel capacitor converts to the parallel resonator.…”

Section: Finally the Constants Cmentioning

confidence: 99%

Lowpass filters approximation based on the Jacobi polynomials

Stojanović

Stamenković

2017

FACTA U EE

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A case study related to the design the analog lowpass filter using a set of orthogonal Jacobi polynomials, having four parameters to vary, is considered. The Jacobi polynomial has been modified in order to be used as a filter approximating function. The obtained magnitude response is more general than the response of the classical ultra-spherical filter, due to one additional parameter available in orthogonal Jacobi polynomials. This additional parameter may be used to obtain a magnitude response having either smaller passband ripple, smaller group delay variation or sharper cutoff slope. Two methods for transfer function approximation are investigated: the first method is based on the known shifted Jacobi polynomial, and the second method is based on the proposed modification of Jacobi polynomials. The shifted Jacobi polynomials are suitable only for odd degree transfer function. However, the proposed modified Jacobi polynomial filter function is more general but not orthogonal. It is transformed into orthogonal polynomial when orders are equal and then includes the Chebyshev filter of the first kind, the Chebyshev filter of the second kind, the Legendre filter, Gegenbauer (ultraspherical) filter and many other filters, as its special cases.

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Section: Finally the Constants Cmentioning

confidence: 99%

Lowpass filters approximation based on the Jacobi polynomials

Stojanović

Stamenković

2017

FACTA U EE

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“…Such filters have a very good selectivity, very close to those of elliptic filters of the same degree. The spread of element values in the network realized is smaller than that of the corresponding elliptic filter [1], [5], [6], [7], [13], which makes these filters very suitable for realization in printed circuit form [1], [5], [13].…”

Section: Introductionmentioning

confidence: 99%

Design Of Maximally Selective Generalized Chebyshev Filters

Milosavljevic¹,

Gmitrovic²

2002

Circuits, Systems, and Signal Processing

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In this paper, a complete procedure is presented for the synthesis of a class of generalized Chebyshev filters with a maximum of four real transmission zeros of any multiplicity, having an equiripple characteristic in the passband and the stopband, and maximum selectivity. The frequencies of magnitude characteristic extreme values in the stopband are calculated in the closed form. The transmission zeros are obtained by solving a set of nonlinear equations. New formulas for orders of zeros of maximally selective filters are deduced, and these are very useful in the design procedure.

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Optimal multiplier coefficient values in cascade realized discrete networks

Stojanović

Gmitrovic²,

Milosavljevic³

ICECS 2000. 7th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.00EX445)

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Designing band-pass filters with optimal redundancy parameters

Cited by 5 publications

References 2 publications

Lowpass filters approximation based on the Jacobi polynomials

Lowpass filters approximation based on the Jacobi polynomials

Design Of Maximally Selective Generalized Chebyshev Filters

Optimal multiplier coefficient values in cascade realized discrete networks

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