6 problems

Consider a state-dependent channel $p(y|x,s)$ with independent and identically distributed state $S^n$, where the receiver obtains rate-limited state information through a separate…

Consider a symmetric $(n,k,n)$ half-duplex MIMO relay channel, meaning that the source and destination each have $n$ antennas and the relay has $k$ antennas. Let $d^*(r)$ denote it…

Let an $(m,k,n)$ half-duplex MIMO relay channel (HD-RC) have $m$, $k$, and $n$ antennas at its three nodes, and let its diversity–multiplexing tradeoff (DMT) be compared with that…

Let soft-DF-BP operate with codes confined to sequences of “good” codes. Let the conditions of the source's Theorem formalize sufficient conditions for a rate to be achievable with…

Let ${\mathcal{C}}$ be a code drawn from a sequence of “good” codes, and let ${\bf Y}_2$ be the channel output at the relay. Let ${\bf Y}^{\textrm{BP}}_2$ be the output of belief p…

Let a broadcast relay channel with common relay have input alphabets represented by $X,X_1,X_2$ and output alphabets $Y_1,Z_1,Y_2,Z_2$. In the degraded case, the channel satisfies…