EECS 290 S : Network Information Flow Fall 2008 Lecture 4 — September 9
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چکیده
In this section we wish to prove that there exists a network code, given an acyclic graph. Lets assume we have a graph, as shown in 4.1 above, where each node in the network has a local encoding matrix Aij(α), where α = (α1, α2, . . .) is the vector of coefficients of the linear encoding matrices. We want to show that there exists α such that the global end-to-end matrices {Ai(α), i = 1, . . . , n} are all simultaneously invertible, i.e. every destination ti can reconstruct the input from the source s. We assume that each symbol x is picked from a finite field F . We start by trying to find an α such that Ai(α), . . . , An(α) is full rank. Let
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تاریخ انتشار 2008