A stowable antenna system for a security system is providing which includes an electronic radiating element in the form of a furlable flexible sheet, a power supply to power the electronic radiating element and a housing to receive and store the radiating element in a furled condition. The radiating element may be extended to an unfurled condition for use in the security system. One or more risers may extend from the housing for supporting the radiating element in the unfurled condition. The electronic radiating element may be received in the housing and stored in the housing in a rolled up, windowshade configuration.