Abstract

The noise bandwidth B <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">N</inf> of Butterworth, Bessel, and Chebyshev filters is tabulated. The Butterworth filter is shown to have the minimum B <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">N</inf> to 3-dB bandwidth ratio for any secondorder filter. It is proven that B <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">N</inf> is invariant when a low-pass to bandpass transformation is made. An error is corrected in recent tables of Chebyshev filters.

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