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| View Original: | Constant-k Filter Transmission Parameters.svg (750x460) | |||
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| Keywords: Constant-k Filter Transmission Parameters.svg transmission parameters <math>\gamma \alpha + i \beta</math> of a prototype low-pass constant-k filter of a single half-section <br> <math>\gamma \alpha + i \beta \begin cases 0 + \sin -1 \frac \omega \omega_c \omega < \omega_c \\ \cosh -1 \frac \omega \omega_c + i \frac \pi 2 \omega > \omega_c \end cases </math> α is measured in nepers and β in radians own Inductiveload 2009-11-23 Mathematica Code <pre><nowiki> l 1; c 1; wc 1/Sqrtl c; gamw_ Piecewise I ArcSinw/wc w < wc ArcCoshw/wc + I Pi/2 w \GreaterSlantEqual wc alphaw_ Regamw; betaw_ Imgamw; LogLinearPlot alphaw betaw w 0 01 10 3 PlotRange -> All PlotPoints -> 1000 </nowiki></pre> Transmission parameters Constant-k filters | ||||
