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The papers deals with a design of a Time-Difference of Arrival (TDOA)system for a subscriber station localisation inside buildings or in a dense urban environment, based on the 802.11b standard wireless network. Thus, a new algorithm is proposed using received signals decomposition to a set of delayed replicas. The dominant components TDOApsilas could then be evaluated with a higher accuracy. Simulation results showed a significant accuracy improvement of subscriber station position estimation by the proposed method comparing to the present localisation systems.