Let $s(t)=rect\left(\frac{t-3}{3}\right)$ be a signal passed through an $AWGN$ (additive white Gaussian noise) channel with noise power spectral density $(PSD)$ $\frac{N_0}{2}$ to get $v(t)$. If $v(t)$ is passed through a matched-filter that is matched to s(t), then output signal-to-noise ratio $(SNR)$ of the matched-filter is
- $\frac{1}{N_0}$
- $\frac{2}{N_0}$
- $\frac{3}{N_0}$
- $\frac{4}{N_0}$