Consider a discrete time signal as shown in the figure below:

If $y [n] = n x [2 n + 1]$ , then the value of $\infty \sum n = - \infty y [n]$ will be _________.

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Solution

The correct option is A 0

$x [2 n + 1] = 0$

$\Rightarrow n x [2 n + 1] = y [n] = 0$

$\Rightarrow \infty \sum n = - \infty y [n] = 0$

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