For direct-sequence optical transmission, bits are conveyed by the presence or absence of a…

For direct-sequence optical transmission, bits are conveyed by the presence or absence of a pulse. Further, while the pulse is being transmitted, photons arrive at the receiver at a Poisson rate whose average is determined by the pulse power. Suppose that an optical pulse is detected if the receiver counts 100 photons in an interval.

(a) If the average rate of photon reception in 1 ns is 150, what is the input power into the detector? (Note that 1 MW = 7.5 x 1015 photons/s.)

(b) Under the assumptions of part (a) what is the probability that a positive pulse will not be detected?

(c) What power is required for a probability of error of Pe = 10-8 at a Tbps rate? (Suggestion: Cut and try on a spreadsheet.)

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