Rate and power allocation under the pairwise distributed source coding constraint

We explore the problem of rate and power allocation for a sensor network where pairwise distributed source coding is employed (introduced by Roumy and Gesbert ´07). For noiseless node-terminal channels, we show that the minimum sum rate assignment with this property can be found by finding a minimum weight arborescence in an appropriately defined directed graph. For orthogonal noisy node-terminal channels, the minimum sum power allocation can be found by finding a minimum weight matching forest in a mixed graph. Numerical results are presented for the noiseless case showing that our solution outperforms previous solutions when source correlations are high.