In a cellular communication network, a user equipment can adapt the intensity (or measurement activity) with which it attempts to identify a new neighbor cell, based on a comparison of the quality of the already identified neighbor cells with the quality of a reference cell. This intensity is lower provided that the downlink received signal level (e.g. in terms of CPICH Ec/No or/and SCH Ec/No) from an appropriate selection of neighbor cells (cells belonging to active or candidate set) is not weaker than the reference (e.g. serving) cell by a certain threshold. On the other hand the UE shall identify a new cell with higher intensity provided the downlink received signal level (e.g. in terms of CPICH Ec/No or/and SCH Ec/No) from said selection of neighbor cells is weaker than the reference cell by a certain threshold.