  We consider decentralized detection through distributed sensors that perform
level-triggered sampling and communicate with a fusion center via noisy
channels. Each sensor computes its local log-likelihood ratio (LLR), samples it
using the level-triggered sampling, and upon sampling transmits a single bit to
the FC. Upon receiving a bit from a sensor, the FC updates the global LLR and
performs a sequential probability ratio test (SPRT) step. We derive the fusion
rules under various types of channels. We further provide an asymptotic
analysis on the average detection delay for the proposed channel-aware scheme,
and show that the asymptotic detection delay is characterized by a KL
information number. The delay analysis facilitates the choice of appropriate
signaling schemes under different channel types for sending the 1-bit
information from sensors to the FC.
