- #1
cuallito
- 94
- 1
Hi, in the paper I've attached, they give a method for generating a polynomial g for the amplitude response of a filter that gives arbitrary flatness and roll-off characteristics.
\frac{1}{\sqrt{1+g}}
And then they say the transfer function can be easily determined from this, but they don't say how.
For example, they give an amplitude response
\frac{1}{\sqrt{1+10s^{8}-24w^{10}+15w^{12}}}
and then they just say "then we will have the transfer function"
\frac{0.259}{s^{6}+2.392w^{5}+3.661s^{4}+2.755s^{3}+2.615s^{2}+1.162s+0.259}
I know how to get the transfer function from the amplitude response for a standard filter like a butterworth or chebyshev, but for ones like this?
\frac{1}{\sqrt{1+g}}
And then they say the transfer function can be easily determined from this, but they don't say how.
For example, they give an amplitude response
\frac{1}{\sqrt{1+10s^{8}-24w^{10}+15w^{12}}}
and then they just say "then we will have the transfer function"
\frac{0.259}{s^{6}+2.392w^{5}+3.661s^{4}+2.755s^{3}+2.615s^{2}+1.162s+0.259}
I know how to get the transfer function from the amplitude response for a standard filter like a butterworth or chebyshev, but for ones like this?
