GATE Electronics and Communications (EC) 2014 Shift 1 Solved Paper

Let $\mathit{Q}\left(\mathit{b}\sqrt{\mathit{\gamma }}\right)$ be the BER of a BPSK system over an AWGN channel with two-sided noise power spectral density N₀/2. The parameter γ is a function of bit energy and noise power spectral density. A system with two independent and identical AWGN channels with noise power spectral density N₀/2 is shown in the figure. The BPSK demodulator receives the sum of outputs of both channels.

If the BER of this system is Q(𝑏√𝛾), then the value of b is _______