Butterworth filter

I want to build a Butterworth filter with the node of the formula. What should I do?

We will do it step by step, and if you can correct me.

I have seen that the formula for the Butterworth is:

H (JW) = 1/sqrt ([1 + (f/CF) ^ 2N])

now, I know that the cutoff frequency is CF = 1 /(2*pi*R*C) where R & C are variables and selected by the user (that's what the professor asked).

So, if I write in the node formula this statement:

Tau = R * C;
CF = 1 /(2*pi*Tau);

FdT = abs (1/sqrt ([1 + (f/CF) * 2 * n]));

I got error. Why?

You were close.  But your small loop inside the formula should look like this.  Notice the perithesis around the 2 * n.  You were just squaring.  You should raise to a power of 2 * n.  I've added an entry for the number of poles.

for ( f=0; f<1000;f++)
{
  H[f]=1/sqrt(1+(f/Fc)**(2*n));
}

Also, is there an absolute value in the digital palette.  Use instead of the square and the square root.

Tags: NI Software

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