5.25 LetX(eM) denote the DTFT of the length-9 sequence x[nl=[L -3, 4. -5, 7. -5. 4, -3. II (a) Fo...
5.25 LetX(eM) denote the DTFT of the length-9 sequence x[nl=[L -3, 4. -5, 7. -5. 4, -3. II (a) For the DFT sequence X1 k obtained by sampling X(em at uniform intervals of π/6 starting from ω 0, determine the IDFT x1(n) of X1[k] without computing X) and XiK]. Can you recover x In] from xilo (b) For the DFT sequence X|k] obtained by sampling X(e,") at uniform intervals of π/4 starting from ω ะ 0 determine the IDFT x2 of X2(k] without computing X(ej) and X2lk]. Can you recover x[n] from 2
5.25 LetX(eM) denote the DTFT of the length-9 sequence x[nl=[L -3, 4. -5, 7. -5. 4, -3. II (a) For the DFT sequence X1 k obtained by sampling X(em at uniform intervals of π/6 starting from ω 0, determine the IDFT x1(n) of X1[k] without computing X) and XiK]. Can you recover x In] from xilo (b) For the DFT sequence X|k] obtained by sampling X(e,") at uniform intervals of π/4 starting from ω ะ 0 determine the IDFT x2 of X2(k] without computing X(ej) and X2lk]. Can you recover x[n] from 2