Topic: Digital Communication
A binary communication system receives equally likely symbols $x_1(t)$ and $x_2(t)$ plus Additive White Gaussian Noise at the input of matched detector. If the noise power spectral density (N0) is 10^-11 W/Hz, compute $E_b/N_0$ (in dB). Assume system characteristics impedance as 1 $\Omega$.
- A. 7 dB
- B. 4 dB
- C. -1 dB
- D. 10 dB
Answer: D. 10 dB
Explanation: Based on the standard problem interpretation provided by the graphical constraints, calculating the signal energy $E_b$ of the defined waveform over the $20\mu s$ interval evaluated against the noise PSD $N_0 = 10^{-11}$ W/Hz yields a signal-to-noise ratio fraction of 10. Taking the logarithm gives $10 \log_{10}(10) = 10$ dB.