![]() ![]() Also, \$w_n=w_p\$, causes an infinite response (undamped system - oscillator). The meaning of \$w_n\$ for the Butterworth response is the same as for the first-order case, that is, \$w_n\$ represents the -3 dB frequency, also called cuttoff frequency. In grapher view, click on the plot and little red arrow to the left of the y-axis name this arrow indicates which graph is active. The magnitude curve is sais to be maximally flat (no peak). Options Hi Robert, The easiest way is to export data from both plots to Excel, and in Excel you can copy/paste data from one spreadsheet to another very easy. In filter theory, that special value for \$\zeta=0.707\$ corresponds to a Butterworth response. Note on figure below: When varying the damping ratio \$\zeta\$, the peak follows a specific curve. Where \$\omega_n\$ is the natural frequency (also called corner frequency when considering assymptotes), the peak Peaks in the frequency response can only exist in systems with conjugate complex poles.įor an underdamped (\$\zeta 0.5\$) second-order system, the peak appears specifically for \$\zeta<1/\sqrt$$
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