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GATE EC 2014 Set 2 — Question 60

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MCQ+2 / -0.67MediumDigital Modulation (ASK, PSK, FSK, QAM)Digital Modulation & DetectionCommunicationsError Probability

Communications → Digital Modulation & Detection → Digital Modulation (ASK, PSK, FSK, QAM)

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Coherent orthogonal binary FSK modulation is used to transmit two equiprobable symbol waveforms s1(t)=αcos⁡2πf1ts_1(t) = \alpha \cos 2\pi f_1 t and s2(t)=αcos⁡2πf2ts_2(t) = \alpha \cos 2\pi f_2 t, where α=4\alpha = 4 mV. Assume an AWGN channel with two-sided noise power spectral density N02=0.5×10−12\frac{N_0}{2} = 0.5 \times 10^{-12} W/Hz. Using an optimal receiver and the relation Q(v)=12π∫v∞e−u2/2duQ(v) = \frac{1}{\sqrt{2\pi}} \int_v^\infty e^{-u^2/2} du, the bit error probability for a data rate of 500 kbps is
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