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Presented is an all-analogue stored-reference receiver architecture based on memristive devices. The proposed structure computes the correlation of a stored received reference waveform with the modulated data waveforms. The reference signal, passed over a tapped delay line, is used to set the conductances of a chain of memristors. Applying a data signal to the so-programmed memristors, a current is driven that corresponds to the correlator output. The principle of operation is shown by computer simulations. If in practice it proves to be feasible, it could be used as an ultra-low power receiver for UWB signals.