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.
Toward fast reliable communication at rates near capacity with gaussian noise,
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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.