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If $E_{b^{\prime}}$ the energy per bit of a binary digital signal, is $10^{-6}$ watt-sec and the one-sided power spectral density of the white noise, $\mathrm{N}_{0}=10^{-5} \mathrm{~W} / \mathrm{Hz}$, then the output $\text{SNR}$ of the matched filter is

  1. $26 \mathrm{~dB}$
  2. $10 \mathrm{~dB}$
  3. $20 \mathrm{~dB}$
  4. $13 \mathrm{~dB}$

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