Presents our approach to the definition of a multi-paradigm environment to specify, model and synthesize embedded digital signal processing (DSP) systems. Instead of assuming one semantics (for instance, synchronous semantics) to specify and model the whole system, we propose to use simultaneously several semantics to describe and validate key system properties. Traceability of system requirements is challenging with such an approach. We propose an architectural view of systems which defines components and connectors to support respectively functional and non-functional requirements with several levels of abstraction specifying systems. Using the object-oriented framework Ptolemy, which supports simulating and prototyping of heterogeneous systems, a global view of the system is ensured, allowing us to validate its behavior and properties.