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Modeling multi user interference (MUI) in impulse radio (IR) - ultra wide band (UWB) networks is addressed in this paper. The reference scenario consists of multiple asynchronous users transmitting IR-UWB signals using pulse position modulation (PPM) in combination with time hopping (TH) coding. We provide a novel analytical expression for the average BER based on the observation that interference in IR is provoked by collisions occurring between pulses belonging to different transmissions. The proposed method requires specification of a similar set of system parameters as Gaussian-based approaches, but shows improved accuracy in estimating BER.