1968IEEE Transactions on Circuit TheoryRequires access

Low-Pass Filters with Predetermined Phase or Delay and Chebyshev Stopband Attenuation

R. Unbehauen

Open publisher page 12 citations

Abstract

A method is presented for determining the transfer function of low-pass filters whose attenuation shows a Chebyshev characteristic in the stopband and whole phase or delay time can __-_2 for n even be specified independently of the aforementioned attenuation properties. The transfer functions may be realized by simple ladder networks. In order to obtain, as far as possible, transformerless circuits, the transfer function to be determined has a pole at infinity.

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What this paper is about

A method is presented for determining the transfer function of low-pass filters whose attenuation shows a Chebyshev characteristic in the stopband and whole phase or delay time can __-_2 for n even be specified independently of the aforementioned attenuation properties. The transfer functions may be realized by simple ladder networks. In order to obtain, as far as possible, transformerless circuits, the transfer function to be determined has a pole at infinity.

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Available abstract

A method is presented for determining the transfer function of low-pass filters whose attenuation shows a Chebyshev characteristic in the stopband and whole phase or delay time can __-_2 for n even be specified independently of the aforementioned attenuation properties. The transfer functions may be realized by simple ladder networks. In order to obtain, as far as possible, transformerless circuits, the transfer function to be determined has a pole at infinity.

Key concepts: Chebyshev filter, Stopband, Transfer function, Attenuation, Control theory (sociology), Low-pass filter, Mathematics, Network synthesis filters

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