Error probability in optical fiber transmission systems
Abstract
A method for evaluating the average error probability in digital fiber optic transmission systems is described. It takes into account the statistical properties of the main impairments that affect the information signal, i.e., shot noise (dark current included), thermal noise, and intersymbol interference. Unlike other methods, the analysis of shotnoise statistics does not entail the secondmoment characterization alone, but uses a number of moments sufficient to evaluate the error probability with a high degree of accuracy. For this purpose it is shown how the cumulants of shot noise and intersymbol interference of any order can be computed. The baseband pulse response and the statistical distributioon of the avalanchephotodetector gain are assumed to be available. Moreover, techniques for exploiting the cumulants are given; knowledge of the cumulants allows one to compute the probability of error by means of Gaussian numerical integration rules. Finally, some results and comparisons are reported.
 Publication:

IEEE Transactions on Information Theory
 Pub Date:
 March 1979
 Bibcode:
 1979ITIT...25..170D
 Keywords:

 Digital Systems;
 Error Analysis;
 Fiber Optics;
 Optical Fibers;
 Probability Theory;
 Transmission Efficiency;
 Data Transmission;
 Intersymbolic Interference;
 Pulse Communication;
 Shot Noise;
 Signal To Noise Ratios;
 Statistical Analysis;
 Thermal Noise;
 Communications and Radar