On the performance of time-hopping M-ary biorthogonal pulse position modulation ultra-wideband communication system

In this paper, we propose a new modulation scheme called time-hopping (TH) M-ary biorthogonal pulse position modulation (MBPPM) for ultra wideband (UWB) systems with asynchronous multiple-access interference (MAI) in an additive white Gaussian noise (AWGN). Closed-form expression of symbol error rate (SER) is provided, then the simple expression is obtained for the system. The performances of TH MBPPM and TH M-ary orthogonal PPM (MOPPM) schemes are compared in terms of the SER in the end. It is shown that the TH MBPPM outperforms the TH MOPPM system and half the system complexity for the same values of signal-to-noise ratio (SNR) and the number of users respectively.