Question 1 (50 points): The following block diagram shows a cascaded digital signal processing filter block x(n) DELAY DELAY -8 + + + + -10 + + Figure 1: Block diagram + A A DELAY DELAY DELAY y(n) (n) DELAY DELAY A (+) + -8 + + -10 + + Figure 1: Block diagram 1 + DELAY DELAY DELAY ・() (a) (10 Pts) Determine the system by the operator equations. (b) (10 Pts Determine the difference equation for the given system, which should read y[n]=> (c) (15 Pts Find the poles of the system by using Python. Does the system converge to (d) (15 Pts By using the operator's equation, perform partial fraction expansion on the polynomial so that the operator equation is a sum of first ordered systems. Use Python for the solution. From that, determine an equitalent block diagram model Question 2 (25 points): A discrete system is given by the difference equation given below. yim xin-3x[n-1]+2x[n-2]+5y[n-1]-4yn-3] = (a) (10 Pts.) Determine the system by the operator equations. (b) (15 Pts.) Draw the block diagram for the system as cascaded feedforward and feedback networks. Question 3 (25 points): The systems given in Fig 4 are equivalent systems. 10 24-8- Figure 4: Equivalent block diagrams (a) (15 Pts. Find P. Ps. A and B for the system on the right side. P. P₁) (b) (10 Pts.) If the system was at rest, find y[8] for x[n] = O(n