BER of antipodal signaling in Laplace noise

Investigation into the characteristics and behaviors of Laplace noise is of crucial importance for evaluating the performance of communication systems operating in impulsive noise as well as for ultra-wideband systems operating in the presence of multi-user interference. The bit error rate performance of data communication systems operating in the presence of additive Laplace noise is analyzed theoretically. A theoretical expression for the average bit error rate is derived using the Beaulieu series for the optimal soft-limiting detector when arbitrary signal levels are detected. The analytical expression for the bit error rate is validated by numerical examples.