Performances of impulse train modulated ultra-wideband systems

This paper analyzes the performances of three impulse train modulated ultra-wideband (UWB) communications systems in an additive white Gaussian noise (AWGN) channel. First, the mathematical models for describing biphase, pulse position and hybrid modulated ultra-wideband signals are developed and the decision rules for detecting them with only AWGN interference are proposed. Then, the exact formulae of the bit error probabilities of these UWB systems and their closed-form approximations are derived. Finally, the derived formulae are applied to optimize the modulation parameter of a Gaussian monocycle UWB impulse radio.