Topics: Discrete Time Systems, FiR and IIR filter, step response, unit sample response, Pole-Zero Plot. Given a causal, LSI, discrete time system is characterized by the following unit sample response: h[n]= 0.8nu[n]

Topics: Discrete Time Systems, FiR and IIR filter, step response, unit sample response, Pole-Zero Plot.

Given a causal, LSI, discrete time system is characterized by the following unit sample response:

h[n]= 0.8nu[n]

a)   Find System Function H(z)= Z{h[n]} including R.O.C
Answer: H(z) =               R.O.C

b)   Sketch Pole – Zero Plot including R.O.C region. Answer:
c)   Difference equation: Answer: y[n] =

d)   Draw a Direct Form 1, block diagram realization of the system.

e)   Find the unit-step response of the filter.

Answer: yu[n] =

f)   Is this filter FIR or IIR? ________ why? __________________

g)   Is this filter stable? ____________ why? _________________________

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images - Topics: Discrete Time Systems, FiR and IIR filter, step response, unit sample response, Pole-Zero Plot. Given a causal, LSI, discrete time system is characterized by the following unit sample response: h[n]= 0.8nu[n]

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