# Problems: 7+3.62-1 1. (20 points) Determine the Inverse Z-transform of X(+0.187Assume that the seque

Problems: 7+3.62-1 1. (20 points) Determine the Inverse Z-transform of X(+0.187Assume that the sequence x[n is causal (right-sided 2. (20 points) The Z-transform of a right-sided sequence hl[n] is: H(2) -042 Z+1.7 Find its Inverse (Z+0.3) (Z-0.5) Z-transform h[n]. (20 points) Determine Consider the digital filter structure shown below, where H1(Z) 2.1+3.32-1 +0.7Z-2, H2(Z) 1.4-5.2Z1 0.8Z2, and H3(Z)-3.2 + 4.5z-1 + 092-2. Determine the overall system transfer function H(Z) 3. Y(z) . A causal LTI discrete-time system is described by the difference equation: y[n]-0.4y 1 0.05y n – 2] +3x[n], where x[n] and y[n] are the input and output sequence of the system. a. (20 points) Determine the transfer function H (Z) of the system. b. (20 points) Determine the unit-pulse response of hln] of the system