Biomedical Engineering > GATE 2023 > Discrete-time Systems
A causal, discrete time system is described by the difference equation
y[n]=0.5 y[n-1]+x[n], for all n,
where y[n] denotes the output sequence and x[n] denotes the input sequence. Which of the following statements is/are TRUE?
A
The system has an impulse response described by 0.5^n u[-n] where u[n] is the unit step sequence.
B
The system is stable in the bounded input, bounded output sense.
C
The system has an infinite number of non-zero samples in its impulse response.
D
The system has a finite number of non-zero samples in its impulse response.

Correct : b, c

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