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Official PYQ · 2026

GATE EC 2026 Set 1 Q34 — Digital Communications

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A QPSK modulated signal from an additive white Gaussian noise (AWGN) channel is received with an Eb/No=8.4 dBE_{b} / N_{o}=8.4 \mathrm{~dB} at the input of a coherent QPSK demodulator. A maximum-likelihood reception method is used in the demodulator.

Assume the complimentary error function
erfc⁡(u)≅[1/(uπ)]exp⁡(−u2).\operatorname{erfc}(u) \cong[1 /(u \sqrt{\pi})] \exp \left(-u^{2}\right) .
Which is the nearest bit error rate (BER) at the output of the demodulator?

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Answer: B

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