A General Coding Scheme for Signaling Gaussian Processes Over Gaussian Decision Models
Date
2018Publisher
IEEEPlace of publication
Kalamata, GreeceSource
2018 IEEE 19th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)Pages
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In this paper, we transform the n-finite transmission feedback information (FTFI) capacity of unstable Gaussian decision models with memory on past outputs, subject to an average cost constraint of quadratic form derived in [1], into controllers-encoders-decoders that control the output process, encode a Gaussian process, reconstruct the Gaussian process via a mean-square error (MSE) decoder, and achieve the n-FTFI capacity. For a Gaussian RV message X N(0,σ2X) it is shown that the MSE decays according to E X-X'n n2= -2C0, n(k)σX2, K ∈ (kmin,∞), where C0, n(k) is the n-FTFI capacity, and kmin is the threshold on the power to ensure convergence.