The sequential decoding metric for detection in sensor networks

Prior work motivated the use of sequential decoding for the problem of large-scale detection in sensor networks. In this paper we develop the metric for sequential decoding from first principles, different from the Fano metric which is conventionally used in sequential decoding. The difference in the metric arises due to the dependence between codewords, which is inherent in sensing problems. We analyze the behavior of this metric and show that it has the requisite properties for use in sequential decoding, i.e., the metric is, 1) expected to increase if decoding proceeds correctly, and 2) expected to decrease if more than a certain number of decoding errors are made. Through simulations, we show that the metric behaves according to theory and results in much higher accuracies than the Fano metric. We also show that due to an empirically-observed computational cutoff rate, we can perform accurate detection in large scale sensor networks, even when the optimal Viterbi decoding is not computationally feasible.