Shown in Figure are three finite-length sequences of length 5. X_i(e^j?) denotes the DTFT of x_i[n], and X_i[k] denotes the five-point DFT of x_i[n]. For each of the following properties, indicate which sequence and satisfy the property and which do not. Clearly justify your answers for each sequence and each property.

(i) X_i[k] is real for all k.?

(ii) X_i(e^j?) = A_i(?)e^jai?, where A_i(?) is real and ?_i is constant.

(iii) X_i[k] = B_i[k]e^jyik where B_i[k] is real and y_i is a constant.

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4. xa[n] 2. 4.