b) The output response yn of a discrete time system is given by Yn = 2 xn + 0.55 yn-1 – 0.1 yn-2 i) State, giving reasons, whether this is a finite impulse response (FIR) or infinite impulse response (IIR) system. ii) Produce a block diagram of the system. iii) Calculate the first 5 steps (from 0 to 4) in the response to a unit impulse input, assuming the initial internal state of the system is zero.

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b) The output response yn of a discrete time system is given by
Yn = 2 xn + 0.55 yn-1 – 0.1 yn-2
i) State, giving reasons, whether this is a finite impulse response (FIR) or
infinite impulse response (IIR) system.
ii) Produce a block diagram of the system.
iii) Calculate the first 5 steps (from 0 to 4) in the response to a unit impulse
input, assuming the initial internal state of the system is zero.
iv) Calculate the first 5 steps (from 0 to 4) in the response to a unit step input
assuming the initial internal state of the system is zero.
v) Derive an expression for the final value of the system to a unit step input
and confirm the actual final value.
Transcribed Image Text:b) The output response yn of a discrete time system is given by Yn = 2 xn + 0.55 yn-1 – 0.1 yn-2 i) State, giving reasons, whether this is a finite impulse response (FIR) or infinite impulse response (IIR) system. ii) Produce a block diagram of the system. iii) Calculate the first 5 steps (from 0 to 4) in the response to a unit impulse input, assuming the initial internal state of the system is zero. iv) Calculate the first 5 steps (from 0 to 4) in the response to a unit step input assuming the initial internal state of the system is zero. v) Derive an expression for the final value of the system to a unit step input and confirm the actual final value.
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