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.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{1}{\sqrt{1+g}}[/tex]

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

[tex]\frac{1}{\sqrt{1+10s^{8}-24w^{10}+15w^{12}}}[/tex]

and then they just say "then we will have the transfer function"

[tex]\frac{0.259}{s^{6}+2.392w^{5}+3.661s^{4}+2.755s^{3}+2.615s^{2}+1.162s+0.259}[/tex]

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?

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# Transfer function from amplitude response?

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