Bp lab butterworth - Stores 2

If we draw the gain graph for higher-order Butterworth filters we will have something like this, In the graph, the green curve represents the ideal filter curve and you can see as the order of the Butterworth filter increases its gain graph leans more towards the ideal curve.

For analog filters, the cutoff frequencies must be expressed in radians per second and can take on any positive value.

In the above two examples, we have created low pass butterworth filters.

If we convert the above equation into a polar form we will have, We can use this equation to observe the change in gain magnitude with the change in the frequency of the input signal.