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Re: Inverse Chebychev polynomials?
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Re: Inverse Chebychev polynomials?


  • Subject: Re: Inverse Chebychev polynomials?
  • From: James McCartney <email@hidden>
  • Date: Mon, 13 Dec 2004 16:18:43 -0800

the function chebft on this page from Numerical Recipes does what you want:

http://www.library.cornell.edu/nr/bookcpdf/c5-8.pdf


On Dec 13, 2004, at 2:47 PM, Allan Hoeltje wrote:


Sorry if this sounds like a dumb question for this list but I am still new
at dsp. I want to do wave shaping signal distortion using Chebychev
polynomials.


I am able to construc a wave shaping curve easy enough from the set of
polynomials defined by:

Let C[0] represent the 0th Chebychev polynomial, C[1] the 1st, and C[n] the
nth, and so on. C[0] = 1; C[1] = x; and C[n] = 2xC[n-1] - C[n-2]; for x
in {-1...+1}


What I still need to do is go the other way: derive the polynomial for a
given wave shape.


I have Googled for Inverse Chebychev (and Chebyshev) but have not found any
formulas. Is there a way to derive an inverse Chebychev function?


-Allan
http://www.WholeCheese.com


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