Posted: March 10th, 2017

Compute the inverse DTFT of X(ω)=cos2Ω 4. Compute the inverse DTFT of: X(ω)=sinΩ cosΩ 5. Compute the rectangular form of the four-point DFT of the following signal, which is zero for n=4. x[0]=1, x[1]=-1, x[2]=1, x[3]=-1

. Compute the DTFT of the discrete-time signal shown in the Figure below.

(Please see attachment)

2.   For a discrete-time signal x[n] with the DTFT where b is an arbitrary constant X(omega) = 1/(exp(j*omega)+b) compute the DTFT V(Ω) of v[n] = x[n] – x[n-1]

3. Compute the inverse DTFT of  X(ω)=cos²Ω

4. Compute the inverse DTFT of: X(ω)=sinΩ cosΩ

5. Compute the rectangular form of the four-point DFT of the following signal, which is zero for n=4.

x[0]=1, x[1]=-1, x[2]=1, x[3]=-1