Exact error probability of a bandlimited single-interferer maximum-likelihood BPSK receiver in AWGN

An exact expression for the bit error rate of a synchronous maximum-likelihood receiver used to detect a bandlimited binary phase-shift keying (BPSK) signal in the presence of a similar BPSK signal, additive white Gaussian noise and imperfect carrier phase recovery is derived. The users are assumed to employ pulse-shaping filters whose impulse responses satisfy Nyquist´s first criterion. The receiver´s error probability is compared with that of the perfect phase recovery case to show its sensitivity to carrier phase errors. It is shown that the receiver is more robust to carrier phase mismatch at high signal-to-interference ratios (SIR´s) than low SIR´s