In decentralized wireless sensor networks,the final estimation fusion was accomplished in limited bandwidth channel network,in which each sensor often transmitted a few bits to the fusion center because of various constrains.In order to design a scheme to quantify the observation and to get the fusion estimation from the received bits,the estimation fusion problem was changed into that of decision fusion.The interval was divided into subintervals,each subinterval was assigned a hypothesis,suitable cost coefficients of each hypothesis was selected to form the Bayes cost functional,and a mapping from estimation fusion to decision fusion was constructed.The results of simulation proved the theoretical analysis.