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While enabling fast implementation and reconfiguration of stream applications, programmable stream processors expose issues of incompatibility and lack of adoption in existing stream modeling languages. To address them we describe a design approach in which specifications are captured in UML 2.0, and automatically translated into SystemC models consisting of simulators and synthesizable code under proper style constraints. As an application case, we explain real time stream processor specifications using new UML 2.0 notations. Then we expound how our translator generates SystemC models and includes additional hardware details. Verifications are made during UML execution as well as assertions in SystemC. The case study demonstrates the feasibility of fast specifications, modifications and generation of real time stream processor designs.