Analytical approach to the calculation of probability of bit error and optimum thresholds in free-space optical communication
Ray Burris · Optical Engineering · 2007
Based on wavelet transformation and adaptive Wiener filtering, a new method was presented by the authors to perform synchronization and detection of binary data from a free-space optical (FSO) signal. It was shown prevlously that the Haar wavelet with a fixed scale is an excellent choice for this purpose. The output of the filter was zero mean and was closely related to the derivative of the binary data. In this effort, an analysis of the prior work is presented to obtain the probability of bit error using a Bayesian ternary hypotheses testing. The analysis also results in determining optimum thresholds for the detection of binary data. Simulation experiments are performed and presented to validate the results of the theoretical analysis.