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02/25/2023
Feedback Capacity of OU-Colored AWGN Channels
We derive an explicit feedback capacity formula for the OU-Colored AWGN ...
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07/15/2022
Renyi Entropy Rate of Stationary Ergodic Processes
In this paper, we examine the Renyi entropy rate of stationary ergodic p...
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02/03/2022
Minimal Length of Nontrivial Solutions of the Isometry Equation and MacWilliams Extension Property with Respect to Weighted Poset Metric
For R≜ Mat_m(𝔽), the ring of all the m× m matrices over the finite field...
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01/26/2022
Fourier-Reflexive Partitions and Group of Linear Isometries with Respect to Weighted Poset Metric
Let 𝐇 be the cartesian product of a family of abelian groups indexed by ...
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07/22/2021
Fourier-Reflexive Partitions Induced by Poset Metric
Let 𝐇 be the cartesian product of a family of finite abelian groups inde...
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11/27/2020
A Galois Connection Approach to Wei-Type Duality Theorems
In 1991, Wei proved a duality theorem that established an interesting co...
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02/07/2020
On Sampling Continuous-Time Gaussian Channels
For a continuous-time Gaussian channel, it has been shown that as sampli...
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01/07/2020
The Langberg-Médard Multiple Unicast Conjecture: Stable 3-Pair Networks
The Langberg-Médard multiple unicast conjecture claims that for a strong...
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06/12/2019
A New Proof of Hopf's Inequality Using a Complex Extension of the Hilbert Metric
It is well known from the Perron-Frobenius theory that the spectral gap ...
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06/12/2019
A Strengthening of the Perron-Frobenius Theorem
It is well known from the Perron-Frobenius theory that the spectral gap ...
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06/12/2019
Spectral Ratio for Positive Matrices
It is well known from the Perron-Frobenius theory that the spectral gap ...
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01/09/2019
A Deterministic Algorithm for the Capacity of Finite-State Channels
We propose a modified version of the classical gradient descent method t...
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09/05/2018
An Elementary Proof of a Classical Information-Theoretic Formula
A renowned information-theoretic formula by Shannon expresses the mutual...
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06/09/2018