One Zero, One Pole filter (in: DSP and Plugin Devel…)
By: Leslie Sanford
21 Jun 23:30
I return to mystran’s reply from time to time, getting a little further in my understanding each time I revisit it.
I’m able to replicate the mathematics by hand up to and including this equation:
I understand the explanation of going from:
[code]
b = cos(w) / (sqrt(sin^2(w)) + 1)
[/code]
To:
[code]
b = cos(w) / (1 + sin(w))
[/code]
This equation gives us the value of the coefficient ‘b’ so that the magnitude of the frequency response at the specified frequency ‘w’ is the sqrt(0.5), i.e….
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