Accurate Analytical Multiple-Access Performance of Time-Hopping Biorthogonal PPM IR-UWB Systems
In this paper, the characteristic function (CF) method is used to derive the symbol error rate (SER) expression for time-hopping impulse radio ultra-wideband (TH-IR-UWB) systems with a biorthogonal pulse position modulation (BPPM) scheme in the presence of a multi-user interference (MUI). The derived expression is validated with the Monte-Carlo simulation and compared with orthogonal PPM. Moreover, the analytical results are compared with the Gaussian approximation (GA) of MUI which is shown to be inaccurate for a medium and large signal-to-noise ratio (SNR). It is also shown that the BPPM scheme outperforms the PPM scheme for all SNR. At the end, the influence of different system parameters on the BPPM performance is analyzed.
characteristic function symbol error rate ultra-wideband biorthogonal pulse position modulation multi-user interference