1. (20 pts) Figure shows two finite-length sequences x1 [n] and x2[n]. X2 [m] 0 1 2 3 4 5 12 i. (5 pts) Calculate and Sketch their 10-point circular convolution ii. (5 pts) Calculate and Sketch Y(ejw) = X, (ejw)X2(ejw) for this case. (N=10) iii. (5 pts) Calculate and Sketch their 100-point circular convolution. iv. (5 pts) Calculate and Sketch YZ(ejw) = X(ejw)X2(ejw) for this case. (N=100) 2. (20 pts) i. (10 pts) Sketch magnitude and phase of Y, (ejw) in question 1. ii. (10 pts) Sketch magnitude and phase of Y2(e)w) in question 1. 1. (20 pts) Figure shows two finite-length sequences x1 [n] and x2[n]. X2 [m] 0 1 2 3 4 5 12 i. (5 pts) Calculate and Sketch their 10-point circular convolution ii. (5 pts) Calculate and Sketch Y(ejw) = X, (ejw)X2(ejw) for this case. (N=10) iii. (5 pts) Calculate and Sketch their 100-point circular convolution. iv. (5 pts) Calculate and Sketch YZ(ejw) = X(ejw)X2(ejw) for this case. (N=100) 2. (20 pts) i. (10 pts) Sketch magnitude and phase of Y, (ejw) in question 1. ii. (10 pts) Sketch magnitude and phase of Y2(e)w) in question 1