It is presented a method for determining a position of a wireless device within a single radio cell served by a plurality of remote radio heads. The method is performed in a position determination node and comprises the steps of: receiving a measured power signature comprising at least two, in time separated, power measurement values of a downlink signal, the measured power signature originating from the wireless device; comparing the measured power signature with a set of reference power signatures, wherein each one of the plurality of remote radio heads is associated with a reference power signature and the reference power signatures differ for at least two of the plurality of remote radio heads; and determining a position in that the wireless device is in the vicinity of one of the at least one remote radio head whose reference power signature best matches the measured power signature.