The paper introduces a spatially coupled VAMP decoder and shows its asymptotic state evolution reaches capacity for sparse superposition codes when the design matrix spectrum concentrates at one.
Least squares superposition codes of moderate dictionary size are reliable at rates up to capacity,
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Capacity-achieving sparse superposition codes with spatially coupled VAMP decoder
The paper introduces a spatially coupled VAMP decoder and shows its asymptotic state evolution reaches capacity for sparse superposition codes when the design matrix spectrum concentrates at one.