Problem 3 For two signals x₁ (n) = {2, 1} and x₂ (n) = {-1, 2}, 个 个 a) Calculate 2-point Discrete Fourier Transforms X₂,1(k) = DFT₂{x₁(n)} and X2,2(k) = d) Explain briefly why are the results of b) and c) different. What is the minimum number of points DFT required to make the result of b) equal to the result of c)? e) Using the number of points N determined in d), calculate N-point DFT of x₁ (n) and x₂ (n) i.e. X₁,N(K), X2,N(K), k = 0,1,.., N-1 f) Using the number of points N determined in d), calculate xp (n) = IDFTN{Xp(k)},where X₂(k)= X₁,N(K)X2,N(k), k = 0,1,.., N - 1