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In wireless ultra wideband (UWB) technology the sampling and reconstruction of short impulses (Diracs) is an important research object in signal processing society. In this work we introduce a multi-stage exponential filter (MSEF) for sampling and reconstruction of the UWB pulses. The MSEF is constructed from a cascade of filters each having an exponentially descending impulse response. We show that with 2p-stage MSEF it is possible to reconstruct UWB pulses consisting of p Diracs from the measurement of at least 2p samples. A pole cancellation filter is used to extract the amplitudes and time locations of the Diracs. Robust singular value decomposition (SVD) based subspace method is used to cancel noise interference. The MSEF is applied for sampling and reconstruction of UWB pulses generated by a near range RFID device