An incident pulse signal of the ultra wideband type conveys digital information that is coded using pulses having a known theoretical shape. A decoding device includes an input for receiving the incident signal, and for delivering a base signal. A comparator receives the base signal and delivers an intermediate signal representative of the sign of the base signal with respect to a reference. A sampling circuit samples the intermediate signal for delivering a digital signal. A digital processing circuit correlates the digital signal with a reference correlation signal corresponding to a theoretical base signal arising from the reception of a theoretical pulse having the known theoretical shape.