Example (1): A discrete time system has a unit sample response h(n) h(n) = 0.5 8(n) + d(n – 1) + 0.5 8(n- 2) a) Find the system frequency response. Plot magnitude and phase. b) Find the steady-state response of the system to x(n) = 5 cos (an /4). c) Find the steady-state response of the system to x(n) = 5 cos ( 3 nn/4). d) Find the total response to x(n) = u(n) assuming the system is initially at rest.

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Example (1): A discrete time system has a unit sample response h(n)
h(n) = 0.5 8(n) + d(n – 1) + 0.5 8(n – 2)
a) Find the system frequency response. Plot magnitude and phase.
b) Find the steady-state response of the system to x(n) = 5 cos ( a n /4).
c) Find the steady-state response of the system to x(n) = 5 cos ( 3 an /4).
d) Find the total response to x(n) = u(n) assuming the system is initially at rest.
Transcribed Image Text:Example (1): A discrete time system has a unit sample response h(n) h(n) = 0.5 8(n) + d(n – 1) + 0.5 8(n – 2) a) Find the system frequency response. Plot magnitude and phase. b) Find the steady-state response of the system to x(n) = 5 cos ( a n /4). c) Find the steady-state response of the system to x(n) = 5 cos ( 3 an /4). d) Find the total response to x(n) = u(n) assuming the system is initially at rest.
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