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Doppler Effect in Light Waves

Consider a si...

Question

Consider a signal x(t) as shown in the figure below,

$I f a s i g n a l y (t) i s d e f i n e d s u c h t h a t y (t) = \frac{1}{4} δ (t - 1) * x (t), t h e n t h e v a l u e o f y (0) i s$ _____________
0.5

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Solution

The correct option is A 0.5
$y (t) = \frac{1}{4} x (t - 1)$
$\Rightarrow y (0) = \frac{1}{4} x (- 1) = \frac{2}{4} = 0.5$

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