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Write a short MATLAB function called myifft that has the same input (in simplest form) and output as the built-in ifft, restricting the number of data m to be a power of 2. Thus, for any given data array y of such a size fed as input to myfft, which yields yˆ, your function should take as input yˆ and deliver the original y as output.
Test your program on the function g(t) = t2(t + 1)2(t − 2)2 − e−t 2 sin2(t + 1)sin2(t − 2) of Example 13.4 sampled uniformly at 32 points on the interval [−1,2).
Example 13.4
Consider the function
on the interval [−1,2].