A wireless device generates a peak profile for a primary synchronization channel (PSCH), and has a synchronization stage for performing code group identification and scrambling code identification. A first peak from the peak profile is chosen. The first peak has a first path position. The synchronization stage is handed the first path position to obtain a first code group number and a first code number associated with the first peak. A multi-path search window is then opened in the peak profile around the first path position. A second peak within the multi-path search window is selected, and a verification procedure is performed on this second peak to determine if the second peak has a code number that is identical to the first code number. The first code group number is assigned to the second peak if the code number of the second peak is identical to the first code number.