A BPSK schemes operating over an AWGN channel with noise spectral density N_{o}\/ 2 uses equiprobable signals s_{1} (t) = \sqrt{\frac{2E}{T}} \sin ⁡ (\omega _{c}t) and s_{2} (t) = −\sqrt{\frac{2E}{T}} \sin ⁡ (\omega _{c}t) over the symbol interval, (0,T). If the local oscillator in a coherent receiver is ahead in phase by 45^\circ with respect to the received signal, the probability of error in the resulting system is:

GATE Electronics and Communications (EC) 2012 Solved Paper

Question : 37 of 65

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A BPSK schemes operating over an AWGN channel with noise spectral density

N_{o}\/ 2

uses equiprobable signals

s_{1} (t) = √{\;{2E}/{T}} sin \;⁡ (ω _{c}t)

and

s_{2} (t) = −√{\;{2E}/{T}} sin \;⁡ (ω _{c}t)

over the symbol interval,

(0,T)

. If the local oscillator in a coherent receiver is ahead in phase by

45°

with respect to the received signal, the probability of error in the resulting system is:

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