On the Problem of Adding Infinitely Many Values
Average consensus is a decentralized computation algorithm for calculating the average of the state variables of the nodes in a network. Over wireless networks, it is typically implemented using point-to-point random access scheduling. Wireless communications, however, are interference limited and when the available bandwidth is fixed, the expected delay in achieving a certain precision in the average value increases as the network size scales up. The authors show that this limitation in large networks disappears if they use specially structured codes. They analyze a combined source and channel coding strategy that uses an incoherent combination of power over orthogonal sub-channels for the average consensus protocol.