10Hz低通滤波器设计
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Calculated the Transfer Function for the Sallen-Key Low-pass filter, displayed on graphs, showing Bode diagram, Nyquist diagram, Impulse response and Step response.
Sallen-Key Low-pass Filter Vin(s)→→Vout(s)
Transfer Function
G(s)=
3906.25
s2+125s+3906.25
R1 = 16kΩ
R2 = 16kΩ
C1 = 1uF
C2 = 1uF
Cut-off frequency
fc = 9.94718394324[Hz]
Quality factor
Q = 0.5
Damping ratio
ζ = 1
Pole(s)
p = -9.94718389957-2.34374008807E-13i[Hz]
|p|= 9.94718389957[Hz]
p = -9.94718394403-4.5265482115E-10i[Hz]
|p|= 9.94718394403[Hz]
Phase margin
pm= NAN[deg] (f =0[Hz])
The system does not oscillate.
Overshoot (in absolute value)
The peak of transient waveform is not detected.
Final value of the step response (on the condition that the system converged when t goes to infinity)
g(∞) = 1
Frequency analysis
Transient analysis