A method of operating a wireless device is provided in which the wireless device determines to use one grouping of peer discovery resources of a plurality of groupings of peer discovery resources based on one of a path loss or a distance to a base station. The plurality of groupings include a first grouping of resources having a first plurality of identical subsets of resources and a second grouping of resources having a second plurality of identical subsets of resources. Each of the first plurality of identical subsets of resources extends over at least one of a different time period or a different number of subcarriers than each of the second plurality of identical subsets of resources. The wireless device transmits a peer discovery signal on one subset of the identical subsets of said one grouping of peer discovery resources.