The KASSPER project is a Defense Advanced Research Projects Agency (DARPA) program which has the goal of improving the performance of Ground Moving Target Indicator (GMTI) radar systems by incorporating external sources of knowledge into the signal processing chain. The KASSPER Real-Time Signal Processing Architecture is a radar system scheduling and signal processing framework that is being developed at Massachusetts Institute of Technology Lincoln Laboratory (MIT LL). This paper discusses the design of the architecture, knowledge handling issues, resource scheduling issues, the current state of the prototype implementation of the framework, and the current state of the project's real-time processor testbed.