1
GATE ECE 2024
MCQ (Single Correct Answer)
+1
-0.33

A causal and stable LTI system with impulse response h(t) produces an output y(t) for an input signal x(t). A signal x(0.5t) is applied to another causal and stable LTI system with impulse response h(0.5t). The resulting output is ____.

A

2y(0.5t)

B

4y(0.5t)

C

0.25y(2t)

D

0.25y(0.25t)

2
GATE ECE 2015 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Consider a four-point moving average filter defined by the equation $$y[n] = \sum\limits_{i = 0}^3 {{\alpha _i}x[n - i]} $$. The condition on the filter coefficients that results in a null at zero frequency is
A
$${\alpha _1} = {\alpha _2} = 0;\,{\alpha _0} = - {\alpha _3}$$
B
$${\alpha _1} = {\alpha _2} = 1;\,{\alpha _0} = - {\alpha _3}$$
C
$${\alpha _0} = {\alpha _3} = 0;\,{\alpha _1} = {\alpha _2}$$
D
$${\alpha _1} = {\alpha _2} = 0;\,{\alpha _0} = {\alpha _3}$$
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