2017
DOI: 10.48550/arxiv.1701.05523
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Capacity and Normalized Optimal Detection Error in Gaussian Channels

Edwin Hammerich

Abstract: For vector Gaussian channels, a precise differential connection between channel capacity and a quantity termed normalized optimal detection error (NODE) is presented. Then, this C-NODE relationship is extended to continuous-time Gaussian channels drawing on a waterfilling characterization recently found for the capacity of continuous-time linear time-varying channels. In the latter case, the C-NODE relationship becomes asymptotic in nature. In either case, the C-NODE relationship is compared with the I-MMSE re… Show more

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