An upper bound for the total number of options to implement an SDR multi-standard system

The design of future multi-standard systems is very challenging. Flexible architectures that exploit common aspects between the different set of standards cohabiting in the device offer promising solutions. In this paper, we adopt the theory of graphs and particularly the study of directed hypergraphs, which helps in providing a theoretical view of the graph structure of the multi-standard system. This graph description exhibits all the alternatives capable of implementing the system. On the other hand, we further provide in this paper an exponential upper bound for the total number of options which are capable of implementing a multi-standard design.