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Matlab code for dft to implment difference equation:Compute the N = 128 point DFT of the sequence

In this question, the code is need to make dft at the first and then there are many requirments

Identification of pole positions in a system consider the system described by the difference equation
y(n) = -r2y(n – 2) + x(n)
(a) Let r = 0.9 and x(n) = ?(n). Generate the output sequence y(n) for 0 ? n ? 127.
Compute the N = 128 point DFT {Y(k)} and {|Y(k)|}.
(b) Compute the N = 128 point DFT of the sequence
?(n) = (0.92)-ny(n)
Where y(n) is the sequence generated in part (a). Plot the DFT values |W(k)|.
Where can you conclude from the plots in part (a) and (b)?

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