OKAWA Electric Design

(Sample)RLC Band-pass Filter Design Tool - Result -

Calculated the transfer function for the RLC Band-pass filter, displayed on graphs, showing Bode diagram, Nyquist diagram, Impulse response and Step response.

RLC Filter

Vin(s)→ →Vout(s)
(Sample)Transfer Function:
G(s)= 5909.09090909s

R = 13Ω
C = 47uF
L = 0.0022H

Center passes frequency

f0 = 494.948328884[Hz]

Quality factor

Q = 0.526282657637

Damping ratio

ζ = 0.95005980673


p = -470.230513681 +154.457477218i[Hz]
  |p|= 494.948328884[Hz]
p = -470.230513681-154.457477218i[Hz]
  |p|= 494.948328884[Hz]


z = 0[Hz]
  |z|= 0[Hz]

Phase margin

pm= NAN[deg] (f =0[Hz])

Oscillation frequency

f = 154.457477218[Hz]

Overshoot (in absolute value)

The 1st peak  gpk = 0.72 (t =0.00031[sec])
The 2nd peak  gpk = -5.1E-05 (t =0.0036[sec])
The 3rd peak  gpk = 3.6E-09 (t =0.0068[sec])

Final value of the step response (on the condition that the system converged when t goes to infinity)

g(∞) = 0

Q factor | Damping ratio ζ

Quality factor Q =
Damping ratio  ζ =
fc= Hz
L = H C = F
Give two values from three parameters of f0 ,L, C.

Select Capacitor Sequence:
Select Resistor Sequence:
Select Inductance Sequence:

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