EC > GATE 2026 > Discrete Time Systems
The response of a discrete time system y[n] obeys the following relation:
y[n] = (5/6)y[n - 1] - (1/6)y[n - 2] + x[n].
The input to the system is x[n] = δ[n] - (1/3)δ[n - 1].
Which of the following options is TRUE for y[n]?
A
Stable and causal response
B
Stable and non-causal response
C
Unstable and causal response
D
Unstable and non-causal response

Correct :

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