Question

A continuously operating coherent BPSK system makes errors at the average rate of 100 errors per day. The data rate is 1000 bits/s. The single-sided noise power spectral density is No 10-10 W/Hz. If the system is ergodic, what is the average bit error probability?

Answer 1

The average bit error probability in a continuously operating coherent BPSK system can be calculated using the formula Pb = Q(√(2Eb/No)), where Eb is the energy per bit and No is the single-sided noise power spectral density.

Step-by-step explanation:

The bit error probability can be calculated using the formula:

Pb = Q(√(2Eb/No)), where Eb is the energy per bit and No is the single-sided noise power spectral density.

Given that the data rate is 1000 bits/s, and the average rate of errors is 100 errors per day, we can calculate the energy per bit (Eb) as:

Eb = (1/1000) * (86400/100) = 8.64 x 10^-3 J/bit.

Substituting the values into the formula, we get:

Pb = Q(√(2 * 8.64 x 10^-3 / 10^-10)) = 0.153

The average bit error probability is approximately 0.153.