Bandwidth upper bounds for matching coupled loads

The Bode-Fano bounds on the integral over all frequency of the logarithm of the reflection coefficient between a source and a load, connected to each other through a matching network, are well-known measures of the bandwidth of the matching network and load. For multiple coupled loads being driven by multiple independent sources, we define a bandwidth measure for the coupled loads based on the integral logarithm of their collective power reflection, and develop an upper bound on this measure. This upper bound can be used to evaluate the broadband performance of matching networks for coupled loads.