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1976•IEEE Transactions on Circuits and SystemsRequires access

Modified Chebyshev filtering functions with low Q-factor

Khalil Massad, R. Yarlagadda

Open publisher page 3 citations

Abstract

A new numerical algorithm is presented which determines the coefficients of a low-pass nonequal-ripple modified Chebyshev function with multiplicity of the dominant root pair greater than one; as a result its degree is higher than the corresponding Chebyshev polynomial but a much lower dominant rootQ-factorQ_{c}is obtained. Intermediate modified Chebyshev functions with higher transition region attenuation and therefore increasedQ_{c}are also discussed.

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What this paper is about

A new numerical algorithm is presented which determines the coefficients of a low-pass nonequal-ripple modified Chebyshev function with multiplicity of the dominant root pair greater than one; as a result its degree is higher than the corresponding Chebyshev polynomial but a much lower dominant rootQ-factorQ_{c}is obtained. Intermediate modified Chebyshev functions with higher transition region attenuation and therefore increasedQ_{c}are also discussed.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A new numerical algorithm is presented which determines the coefficients of a low-pass nonequal-ripple modified Chebyshev function with multiplicity of the dominant root pair greater than one; as a result its degree is higher than the corresponding Chebyshev polynomial but a much lower dominant rootQ-factorQ_{c}is obtained. Intermediate modified Chebyshev functions with higher transition region attenuation and therefore increasedQ_{c}are also discussed.

Key concepts: Chebyshev filter, Chebyshev polynomials, Ripple, Chebyshev nodes, Multiplicity (mathematics), Function (biology), Mathematics, Applied mathematics

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