THD Sawtooth Wave filterd by 2nd-order Butterworth low-pass

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on

Jul 24, 2020, 6:28:07 PM

Created by

on

Apr 1, 2015, 12:34:48 AM

{THD}_{F} = \sqrt{\frac{π \cdot \cot (\frac{π}{\sqrt{2}}) \cdot \coth^{2} (\frac{π}{\sqrt{2}}) - \cot^{2} (\frac{π}{\sqrt{2}}) \cdot \coth (\frac{π}{\sqrt{2}}) - \cot (\frac{π}{\sqrt{2}}) - \coth (\frac{π}{\sqrt{2}})}{\sqrt{2} (\cot^{2} (\frac{π}{\sqrt{2}}) + \coth^{2} (\frac{π}{\sqrt{2}}))} + (\frac{π^{2}}{3}) - 1}

$"THD"_F = sqrt((pi* cot( (pi)/sqrt(2) ) * coth^2((pi)/sqrt(2)) - cot^2((pi)/sqrt(2) ) * coth((pi)/sqrt(2)) - cot( (pi)/sqrt(2) ) - coth( (pi)/sqrt(2) ) )/ ( sqrt(2) (cot^2(pi/sqrt(2)) + coth^2(pi/sqrt(2) ) ) ) + (pi^2/3) - 1$

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π

$pi$ by MichaelBartmess

• Cotangent (cot(

∠

$angle$ ) by MichaelBartmess

• hyperbolic cotangent by MichaelBartmess

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THD Sawtooth Wave filterd by 2nd-order Butterworth low-pass

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