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We consider the upper bounds of the finite block length capacity C n,F B (P) of the discrete time Gaussian channel with feedback. We also let C n (p) the nonfeedback capacity. We prove the relations C n (P) ≤ C n,F B (P) ≤ C n (αP) + 1 2 ln(1 + 1 α) and C n (P) ≤ C n,F B (P) ≤ (1 + 1 α)C n (αP) for any P > 0 and any α > 0, which induce the half-bit and… (More)

Although it is well known that feedback does not increase capacity of an additive white Gaussian channel, Yanagi gave the necessary and sufficient condition under which the capacity C n,F B (P) of discrete time non-white Gaussian channel is increased by feedback. In this paper we show that the capacity C n,F B (P) of the Gaussian channel with feedback is a… (More)

— We give several inherent properties of the capacity function of Gaussian channel with and without feedback by using some operator inequalities and matrix analysis. We give a new proof method which is different from the method appearing in [21]. We obtain the following results: Cn,Z (P) and Cn,F B,Z (P) are both concave functions of P, Cn,Z (P) is a convex… (More)

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