Appendix I

Abstract

Means for obtaining high-pass filter functions using (1) Bessel polynomials, (2) Butterworth polynomials, and (3) Chebyshev polynomials are covered in this appendix.

Keywords: Bessel polynomials; Butterworth polynomials; Chebyshev polynomials; Frequency; High-pass filter; Ripple factor.

In the following high-pass filter functions G(s), the order of the function is denoted by N and the frequency at which the magnitude of the response is
$1/\sqrt{2}$
(that is, 3
dB below the pass band level) is denoted by ω
_{3dB}.

$G\left(s\right)={(\frac{s}{s+{\omega}_{}}}^{}$

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