butterworth maximal flat odd polynomial

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Hello , I am trying to get this exression, in the book its called "maximal flat" odd polynomial i think its a butterworth polynomial where we put to zero the even powers, we have a butter command. how can we reproduce the experession bellow of P_3(x) with the butter or any other command ?
Thanks
  7 个评论
Walter Roberson
Walter Roberson 2017-5-31
The paper goes through all the mathematics of how to select the polynomials, it appears to me.
John D'Errico
John D'Errico 2017-5-31
编辑:John D'Errico 2017-5-31
Yes, I imagine the paper shows what to do. So the OP should read the paper supplied, and make an effort to write some code, since it is still not at all clear what they want to do.
Is fima looking for code to produce an nth order polynomial of this form as a symbolic function? As a function handle that one can evaluate?
And what makes this a question about MATLAB, as opposed to a doit4me? Here is the paper, I've made no attempt to do anything, but please supply code for me so that I need not bother to learn enough about MATLAB to do it myself?
syms x
L = 1 + (1.5*x - x^3/2)^2;

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