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?
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