This paper considers a Gaussian multiple-access channel with random user activity where the total number of users $\ell _{n}$ and average active notation="LaTeX">$k_{n}$ may grow blocklength notation="LaTeX">$n$ . For this channel, it...

We study the performance of a transmission scheme employing random Gaussian codebooks and nearest neighbor decoding over a power limited additive non-Gaussian noise channel. We show that the achievable rates depend on the noise distribution only via its power and thus coincide with the capacity region of a white Gaussian noise channel with signal and noise power equal to those of the original c...

In this report, we survey the landmark papers on the sum capacity of Gaussian multiple-input multiple-output (MIMO) broadcast channels (BC). Three different groups have reached the same conclusion that the sum rate capacity of Gaussian MIMO BC is achieved by the dirty paper coding (DPC). In particular, we thoroughly investigate the approach which utilized the duality relation between the DPC ac...

An analytically tractable model for Gaussian multiuser channels with fading is studied, and the capacity region of this model is found to be a good approximation of the capacity region of the original Gaussian network. This work extends the existing body of work on deterministic models for Gaussian multiuser channels to include the physical phenomenon of fading. In particular, it generalizes th...

This paper addresses robust estimation for the frequency offset of orthogonal frequency division multiplexing in non-Gaussian noise channels. We first propose a maximum-likelihood (ML) estimator in non-Gaussian noise modeled as a complex isotropic Cauchy process, and then present a simpler, yet still robust, estimator based on the ML estimator. From numerical results, it is confirmed that the p...

We survey the state of the art for the proof of the quantum Gaussian optimizer conjectures of quantum information theory. These fundamental conjectures state that quantum Gaussian input states are the solution to several optimization problems involving quantum Gaussian channels. These problems are the quantum counterpart of three fundamental results of functional analysis and probability: the E...

Consider the estimation of a signal x ∈ R from noisy observations r = x+ z, where the input x is generated by an independent and identically distributed (i.i.d.) Gaussian mixture source, and z is additive white Gaussian noise (AWGN) in parallel Gaussian channels. Typically, the `2-norm error (squared error) is used to quantify the performance of the estimation process. In contrast, we consider ...

In the present paper we study the entropy gain H(Φ[ρ]) − H(ρ) for infinite-dimensional channels Φ. We show that unlike finite-dimensional case where the minimal entropy gain is always nonpositive [1], there is a plenty of channels with positive minimal entropy gain. We obtain the new lower bound and compute the minimal entropy gain for a broad class of Bosonic Gaussian channels by proving that ...