Designing a filter from magnitude response plot

Question

Rafael Cordero 2018-11-13

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https://ww2.mathworks.cn/matlabcentral/answers/429583-designing-a-filter-from-magnitude-response-plot

回答： Honglei Chen 2018-11-13

Hello everyone,

I'm supposed to replicate a series of analog filters as faitfhully as possible in Matlab. I've been given a plot of the filters magnitude response (no phase plot):

Yes, theres a gain stage too, I can just amplify the signal at the end.

I want to replicate the red trace (I also have the values used to construct the plot in an EXCEL table with the frequencues and their corresponding gains).

QUESTION: Is there a way in Matlab to take the columns of this frequency and gain table and create a set of filters on Matlag that would give me an identical response? Unfortunately thats all I know about the original filters :/. I do realize the phase response might be different but apparently it doesnt matter?

Thank you!

RC