A causal linear and time-invariant (LTI) discrete system is described by: [Satu sistem diskret kausal liner-masa tidak berubah dijelaskan melalui:] 1 2 y(n)-y(n-1) + y(n − 2) = 2x(n) — ²3x(n - where x(n) and y(n) are the input and the output of the system, respectivel- [di mana x(n) dan y(n) masing-masing adalah masukan dan keluaran sistem:] (i) Evaluate the system transfer function, H(z). [Nilaikan rangkap pindah sistem, H(z).] (ii) Evaluate the impulse response, h[n] of the system. [Nilaikan tindak balas dedenyut sistem, h[n].]

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 6
[Soalan 6]
(C5, CO4, PO2)
(a)
A causal linear and time-invariant (LTI) discrete system is described by:
[Satu sistem diskret kausal liner-masa tidak berubah dijelaskan melalui:]
3
1
2
y(n)-
) — ³ y(n − 1) + 3⁄y(n − 2) = 2x(n) — ²37x(n − 1)
-
32
where x(n) and y(n) are the input and the output of the system, respectively.
[di mana x(n) dan y(n) masing-masing adalah masukan dan keluaran sistem:]
(i) Evaluate the system transfer function, H(z).
[Nilaikan rangkap pindah sistem, H(z).]
(ii)
Evaluate the impulse response, h[n] of the system.
[Nilaikan tindak balas dedenyut sistem, h[n].]
Transcribed Image Text:Question 6 [Soalan 6] (C5, CO4, PO2) (a) A causal linear and time-invariant (LTI) discrete system is described by: [Satu sistem diskret kausal liner-masa tidak berubah dijelaskan melalui:] 3 1 2 y(n)- ) — ³ y(n − 1) + 3⁄y(n − 2) = 2x(n) — ²37x(n − 1) - 32 where x(n) and y(n) are the input and the output of the system, respectively. [di mana x(n) dan y(n) masing-masing adalah masukan dan keluaran sistem:] (i) Evaluate the system transfer function, H(z). [Nilaikan rangkap pindah sistem, H(z).] (ii) Evaluate the impulse response, h[n] of the system. [Nilaikan tindak balas dedenyut sistem, h[n].]
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