A signal m(t )with bandwidth 500 Hz is first multiplied by a signal g (t ) where g (t) = $\displaystyle \sum_{R = - \infty}^\infty (-1)^k \delta (t - 0.5 \times O^{-4}k )$ The resulting signal is then passed through an ideal low pass filter with bandwidth 1 kHz. The output of the low pass filter would be

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