A cost function expression for SDR multi-standard systems design using directed hypergraphs

The design of future multi-standard systems is very challenging. Flexible architectures exploiting processing commonalities of the different set of standards cohabiting in the device offer promising solutions. In this paper, graph theory aspects are introduced with the stress on the notion of directed hypergraphs which will help in showing how the graph structure of the multi-standard system can be viewed as a theoretical directed hypergraph. This graph description provides all the alternatives capable of implementing the design. However, a cost function needs to be defined to calculate the cost of each possible option chosen. Thus, we explain the sound concept of the computation process of a cost function introduced in previous papers, before transforming it into a formal expression with the aid of various definitions and notations of directed hypergraphs.