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Embedded multimedia systems often run multiple time-constrained applications simultaneously. These systems use multiprocessor systems-on-chip of which it must be guaranteed that enough resources are available for each application to meet its throughput constraints. This requires a task binding and scheduling mechanism that provides timing guarantees for each application independent of other applications while taking into account the available processor space, memory and communication bandwidth. Synchronous dataflow graphs (SDFGs) are used to model time-constrained multimedia applications. They allow modeling of cyclic, multi- rate dependencies between tasks. However, existing resource allocation techniques can only deal with acyclic and/or single-rate dependencies. Dependencies in an SDFG can be expressed in single-rate form, but then the problem size may increase exponentially making resource allocation infeasible. This paper presents a new resource allocation strategy which works directly on SDFGs, building on an efficient technique to calculate throughput of a bound and scheduled SDFG. Experimental results show that the strategy is effective in terms of run-time and allocated resources.