Gaussian channels and the optimal coding |
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| Authors: | Masuyuki Hitsuda Shunsuke Ihara |
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| Institution: | Department of Mathematics, Nagoya Institute of Technology, Nagoya, Japan;Department of Mathematics, Ehime University, Matsuyama, Japan |
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| Abstract: | For the Gaussian channel Y(t) = Φ(ξ(s), Y(s); s ≦ t) + X(t), the mutual information I(ξ, Y) between the message ξ(·) and the output Y(·) is evaluated, where X(·) is a Gaussian noise. Furthermore, the optimal coding under average power constraints is constructed. |
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| Keywords: | 94A15 60G15 60G25 60G35 94A10 Gaussian channel mutual information canonical representation of Gaussian processes reproducing kernel Hilbert space optimal coding |
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