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- W4310985239 abstract "We recently showed in [1] the superiority of certain structured coding matrix ensembles (such as partial row-orthogonal) for sparse superposition codes when compared with purely random matrices with i.i.d. entries, both information-theoretically and under practical vector approximate message-passing decoding. Here we generalize this result to binary input channels under generalized vector approximate message-passing decoding [2]. We focus on specific binary output channels for concreteness but our analysis based on the replica symmetric method from statistical physics applies to any memoryless channel. We confirm that the spectral criterion introduced in [1], a coding-matrix design principle which allows the code to be capacity-achieving in the large section size asymptotic limit, extends to generic memoryless channels. Moreover, we also show that the vanishing error floor property [3] of this coding scheme is universal for arbitrary spectrum of the coding matrix." @default.
- W4310985239 created "2022-12-22" @default.
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- W4310985239 date "2022-11-01" @default.
- W4310985239 modified "2023-10-01" @default.
- W4310985239 title "Sparse superposition codes with rotational invariant coding matrices for memoryless channels" @default.
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- W4310985239 doi "https://doi.org/10.1109/itw54588.2022.9965824" @default.
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