An Upper Bound on the Error Probability for Differential Phase-Shift Keying in the Presence of Additive Gaussian White Noise and Peak-Limited Interference

A new upper bound on the error probability for differential phase-shift keyed transmission in the presence of additive Gaussian white noise (AGWN) and peak-limited interference is estimated using numerical techniques. An error probability expression is evaluated for various interference angles and the maximum value found is chosen as the upper bound. A simple approximation is presented and found to be close to the upper bound. This upper bound is shown to be a realistic bound, hence it could be useful for practical design purposes.