Performance comparison of M-ary PPM ultra-wideband multiple access system considering different pulse shapes

In this paper we theoretically analyze the probability of error for M-ary pulse position modulation (PPM) ultra-wideband (UWB) multiple access system using rectangular pulse, Gaussian monocycle, and Rayleigh monocycle. We first consider the optimum detection of UWB signals using M-ary orthogonal PPM in additive white Gaussian noise (AWGN) and multiple access interference (MAI), and then derive the receiver signal to noise power ratio (SNR). Numerical results considering some practical parameters are presented and the BER performance according to pulse shapes are compared.