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Noise with uniform power spectral density of $\text{N}_{0}$ $\mathrm{W / Hz}$ is passed through a filter $\mathrm{H}(\omega)=2$ exp $\left(-j \omega t_{d}\right)$ followed by an ideal low pass filter of bandwidth $\text{B Hz.}$ The output noise power in Watts is

1. $2 \mathrm{~N}_{0} \mathrm{~B}$
2. $4 \mathrm{~N}_{0} \mathrm{~B}$
3. $8 \mathrm{~N}_{0} \mathrm{~B}$
4. $16 \mathrm{~N}_{0} \mathrm{~B}$