Signal design for noncoherent PPM modulation with applications to UWB communications

By deriving the probability of error of a binary pulse-position modulated (PPM), ultra wide-band (UWB) impulse-radio system under noncoherent detection, it is shown that the optima! value for time shift parameter /spl delta/ for PPM is fundamentally different from that for coherent reception. In particular, the optimal choice of /spl delta/ is one that results in zero correlation between the two waveforms used in PPM modulation. By examining the performance sensitivity around possible optimal /spl delta/ solutions for a commonly used UWB monopulse, we also show that it is still possible to employ /spl delta/