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Inverse Chebychev polynomials?
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Inverse Chebychev polynomials?




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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