  The present work proposes a new approach to energy effiency for filtering of
a system interconnected by a Multi-Hop network. The minimization of the energy
cost per time unit is obtained through limiting the number of packets
retransmission in the Hop-by-Hop mechanism. We explore a trade-Off between
system performance, measured by estimation error H-inf norm and energy
consumption. The proposal is validated using a theoretical model for energy
consumption of MICA2 transceivers.
