Bandpass Filter Design - Maple Help
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Bandpass Filter Design

 

This transfer function defines the response of a Bandpass filter.

 

The product L C controls the bandpass frequency while R C controls how narrow the passing band is. To build a bandpass filter tuned to the frequency 1 rad/s, set L=C=1 and use R to tune the filter band.

 

First define a transfer function object.

(1)

Now generate a Magnitude plot

As expected, the RLC filter has maximum gain at the frequency 1 rad/s. However, the attenuation is only -10dB half a decade away from this frequency.

To get a narrower passing band, try increasing values of R.

The resistor value R=20 gives a filter narrowly tuned around the target frequency of 1 rad/s.

 

We can confirm the attenuation properties of the circuit (R=20) by simulating how this filter transforms sine waves with frequency 0.9, 1, and 1.1 rad/s.

Create two response plots for the filter at R=20 with two inputs: sin(0.9 t) and sin(t).

 


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