Capacity Optimality of OAMP in Coded Large Unitarily Invariant Systems. (arXiv:2206.11680v1 [cs.IT])

This paper investigates a large unitarily invariant system (LUIS) involving a
unitarily invariant sensing matrix, an arbitrary fixed signal distribution, and
forward error control (FEC) coding. Several area properties are established
based on the state evolution of orthogonal approximate message passing (OAMP)
in an un-coded LUIS. Under the assumptions that the state evolution for joint
OAMP and FEC decoding is correct and the replica method is reliable, we analyze
the achievable rate of OAMP. We prove that OAMP reaches the …

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