Q.3 A discrete-time LTI system is represented by the following block diagram: 1.5 x(n) ►y(n) D -0.5 D a) Write the difference equation describing the system. b) State whether the system is a FIR or IIR system and why. c) Determine the impulse response of the system, h(n).

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Q.3 A discrete-time LTI system is represented by the following block diagram:
1.5
x(n)
.y(n)
D
-0.5
D
a) Write the difference equation describing the system.
b) State whether the system is a FIR or IIR system and why.
c) Determine the impulse response of the system, h(n).
d) Using the tabular format, determine the output y(n) for n = 0, 1, 2 and 3, if the input
x(n)= u(n), i.e. a unit step signal, and there are zero initial conditions.
Transcribed Image Text:Q.3 A discrete-time LTI system is represented by the following block diagram: 1.5 x(n) .y(n) D -0.5 D a) Write the difference equation describing the system. b) State whether the system is a FIR or IIR system and why. c) Determine the impulse response of the system, h(n). d) Using the tabular format, determine the output y(n) for n = 0, 1, 2 and 3, if the input x(n)= u(n), i.e. a unit step signal, and there are zero initial conditions.
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