If X(k) is the N-point DFT of a sequence x(n), then what is the DFT of x*(n)?Select one:1. X(N-k)2. None of the mentioned3. X*(k)4. X*(N-k)

If x(n) is a real sequence and X(k) is its N-point DFT, then which of the following is true?Select one:a. X(N-k)=X*(k)b. All of the mentionedc. X(-k)=X*(k)d. X(N-k)=X(-k)

If x(n) and X(k) are an N-point DFT pair, then X(k+N)=?Select one:a. X(k)b. X(-k)c. None of the mentionedd. -X(k)

Let X[k] = DFT {x(n)} with n,k = 0,1,2......, N-1. Determine the relationships between X[k] and following DFT’s: a) DFT {x*[n]} b) DFT {x [(-n)N ]} c) DFT {Re {x[n]}} d) DFT {Im {x[n]}}

DFT of x[n] is defined as Select one:

Compute the DFT of the following finite length sequences: i) x(n) = u(n) - u(n-N). Observe the result for N =1. ii) y[n] = cos (2 ⋅ 𝜋.𝑟.𝑛 𝑁 ). (Find the N-point DFT)