a. The transfer function of a certain discrete time system is given by the expression below: H(z) = Y(z)/X(z) = (8z - 19) / [(z-2)(z-3)] i. Find the linear difference equation of the system and sketch the block diagram of the system. ii. Sketch the system block diagram and indicate with reason whether it is recursive or non recursive system ii. Find the frequency response of the system. iii. Find the impulse response of the system. iv. If a unit impulse (delta function) sequence is presented as input to this system, find what the input will be. b. The impulse response of a certain discrete time signal is given by: h[n] = 8[n] + 8[n - 1] . Find the output y[n] of the system if an input x[n] = 0.58[n] + 0.58[n - 1] + 0.58[n 2] is presented to the system.

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Author:Robert L. Boylestad
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a. The transfer function of a certain discrete time
system is given by the expression below:
H(z) = Y(z)/X(z) = (8z - 19) / [(z-2)(z-3)]
i. Find the linear difference equation of the
system and sketch the block diagram of the
system.
ii. Sketch the system block diagram and indicate
with reason whether it is recursive or non
recursive system
ii. Find the frequency response of the system.
iii. Find the impulse response of the system.
iv. If a unit impulse (delta function) sequence is
presented as input to this system, find what the
input will be.
b. The impulse response of a certain discrete
time signal is given by:
h[n] = 6[n] + 8[n 1] . Find the output y[n] of the
system if an input x[n] = 0.58[n] + 0.58[n 1] +
0.58[n-2] is presented to the system.
-
Transcribed Image Text:a. The transfer function of a certain discrete time system is given by the expression below: H(z) = Y(z)/X(z) = (8z - 19) / [(z-2)(z-3)] i. Find the linear difference equation of the system and sketch the block diagram of the system. ii. Sketch the system block diagram and indicate with reason whether it is recursive or non recursive system ii. Find the frequency response of the system. iii. Find the impulse response of the system. iv. If a unit impulse (delta function) sequence is presented as input to this system, find what the input will be. b. The impulse response of a certain discrete time signal is given by: h[n] = 6[n] + 8[n 1] . Find the output y[n] of the system if an input x[n] = 0.58[n] + 0.58[n 1] + 0.58[n-2] is presented to the system. -
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