OKAWA Electric Design

(Sample) 2nd order CR Low-pass Filter Design Tool - Result -

Calculated the transfer function for 2nd order CR Low-pass filter, displayed on graphs, showing Bode diagram, Nyquist diagram, Impulse response and Step response.

2nd order CR filter

Vi(s)→ →Vo(s)
(Sample)Transfer Function:
G(s)= 10000000000

Center frequency

fc = 15915.4943092[Hz]

Q factor

Q = 0.497512437811

Damping ratio ζ

ζ = 1.005


p = -14401.5341549[Hz]
  |p|= 14401.5341549[Hz]
p = -17588.6094066[Hz]
  |p|= 17588.6094066[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

R1=Ω C1=F
R2=Ω C2=F
p:pico, n:nano, u:micro, k:kilo, M:mega

Frequency analysis

Bode diagram
Phase  Group delay
Nyquist diagram
Pole, zero
Phase margin
Oscillation analysis
Analysis on frequency range:
  f1=∼f2=[Hz] (optional)

Transient analysis

Step response
Impulse response
Final value of the step response
Analysis on time range:
  0∼[sec] (optional)

Frequency analysis

Transient analysis