Multiple choice

A BPSK scheme operating over an AWGN channel with noise power spectral density of N0/2 uses equiprobable signals s1(t) = $\dfrac{2E}{T}$sin ($\omega_0 t$) and s2 (t) = -$\dfrac{2E}{T}$ sin ($\omega_0 t$) over the symbol interval (0,T). If the local oscillator in a coherent receiver is ahead in phase by 450 with respect to the received signal, the probability of error in the resulting system is

  1. Q$\left( \sqrt{ \dfrac{2E}{N_0} } \right) $
  2. Q$\left( \sqrt{ \dfrac{E}{N_0} } \right) $
  3. Q$\left( \sqrt{ \dfrac{E}{2N_0} } \right) $
  4. Q$\left( \sqrt{ \dfrac{E}{4N_0} } \right) $
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B Correct answer
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