Aug 19, 2017

# Consider using a DFT to interpolate the function f (x) = log(x +1) on the interval [0,2π] as in the examples of Section 13.2.

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Consider using a DFT to interpolate the function f (x) = log(x +1) on the interval [0,2π] as in the examples of Section 13.2.

(a) Construct and plot the interpolant on [0,2π] for l = 16 and l = 32. Explain why the results look unsatisfactory.

(b) Consider an even extension of f (x), defining

Apply DFT interpolation to g(t) and plot the results on [0,2π]. Find maximum errors for l = 16 and l = 32. Are they better than before? Why?

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