Electrical Engineering > GATE 2020 > Discrete-Time Systems
Which of the following options is true for a linear time-invariant discrete time system that obeys the difference equation:
y[n] - a y[n - 1] = b0x[n] - b1x[n - 1]
A
y[n] is unaffected by the values of x[n-k]; k>2.
B
The system is necessarily causal.
C
The system impulse response is non-zero at infinitely many instants.
D
When x[n]=0 n<0, the function y[n]; n>0 is solely determined by the function x[n].

Correct : c

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linear time invariant system difference equation GATE Electrical Engineering 2020 causal system impulse response electrical engineering gate system behavior system response to inputs

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