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.
Capacity- achieving sparse regression codes via vector approximate message pass- ing,
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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.