x[n] OSP Analyze the block diagram in Figure I below and develop the relation between y[n] and x[n] Figure 1: (a) and (b) (c) [9 marks] Determine the even and odd parts of the sequence x[n], y[n] and w[n] in (a) above Question 2 (a) [9 marks] The following sequence represent one period of a sinusoidal sequence of the form x[n] =cos(@n+0) i. (2, 2-2, -2 ii. (0,1.5.0,-1.5) Determine the values of the parameters A. b and for each case. (b) [6 marks] Determine and plot F(jo) for the following functions: i. f(t) = e a>0) ii. f(t) = cos a t (c) [5 marks] Determine the DTFT of each of the following sequences i. X [n] = u[n+ 1], |a| < 1 yinl Page 2 of 3 (d) [5 marks] Determine the fundamental period of the periodic sequence ze-0.4x ii. xn] =sin(0.6+0.6x) [9 marks] Total for Question 1: 25 [8 marks] ENTE 342 [9 marks] [6 marks] [5 marks] [5 marks] x[n] OSP Analyze the block diagram in Figure I below and develop the relation between y[n] and x[n] Figure 1: (a) and (b) (c) [9 marks] Determine the even and odd parts of the sequence x[n], y[n] and w[n] in (a) above Question 2 (a) [9 marks] The following sequence represent one period of a sinusoidal sequence of the form x[n] = cos(@n+0) i. (2, 2-2, -2 ii. (0,1.5.0,-1.5) Determine the values of the parameters A. b and for each case. (b) [6 marks] Determine and plot F(jo) for the following functions: i. f(t) = e a>0) ii. f(t) = cos a t (c) [5 marks] Determine the DTFT of each of the following sequences i. X [n] = a* u[n+ 1], |a| < 1 yinl Page 2 of 3 (d) [5 marks] Determine the fundamental period of the periodic sequence ze-0.4x ii. x[n] = sin(0.6+0.6x) [9 marks] Total for Question 1: 25 [8 marks] ENTE 342 [9 marks] [6 marks] [5 marks] [5 marks] x[n] OSP Analyze the block diagram in Figure 1 below and develop the relation between y[n] and x[n] Figure 1: (a) and (b) (c) [9 marks] Determine the even and odd parts of the sequence x[n], y[n] and w[n] in (a) above Question 2 (a) [9 marks] The following sequence represent one period of a sinusoidal sequence of the form x[n] = cos(@n+0) i. (2, 2, -2, -2 ii. (0,1.5.0,-1.5) Determine the values of the parameters A. @band o for each case. (b) [6 marks] Determine and plot F(jo) for the following functions: i. f(t) = e" a>0) ii. f(t) = cos a t (c) [5 marks] Determine the DTFT of each of the following sequences i. X [n] = u[n+ 1], |a| < 1 yinl Page 2 of 3 (d) [5 marks] Determine the fundamental period of the periodic sequence ze-0.4tx ii. x[n] = sin(0.6+0.6x) [9 marks] Total for Question 1: 25 [8 marks] ENTE 342 [9 marks] [6 marks] [5 marks] [5 marks]