Improved Prabhu upper bound for PAM systems with noise and interference

The authors present an improved modification of the upper bound on error probability of the canonical binary system with additive interference and Gaussian noise. The proposed modification is illustrated by a sinusoidal interference example. It is shown that in this case, for a signal-to-noise ratio of 0 dB and signal-to-interference ratio of 3 dB, the modified upper bound is 9% larger than the exact value, which is approximately 8.5 times smaller than the error resulting from the Prabhu upper bound on error probability.