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An Improved Lower Bound on Cardinality of Support of the Amplitude-Constrained AWGN Channel
Haiyang Wang, Luca Barletta, Alex Dytso
We study the amplitude-constrained additive white Gaussian noise channel. It is well known that the capacity-achieving input distribution for this channel is discrete and supported…
Estimation Error: Distribution and Pointwise Limits
Luca Barletta, Alex Dytso, Shlomo Shamai
In this paper, we examine the distribution and convergence properties of the estimation error , where is the Bayesian estimator of a random variabl…
On MIMO Gaussian Channels with a Small Discrete-Time Peak-Power Constraint
Alex Dytso, Luca Barletta, Gerhard Kramer
A multi-input multi-output (MIMO) Gaussian channel with two transmit antennas and two receive antennas is studied that is subject to an input peak-power constraint. The capacity an…
Binomial Channel: On the Capacity-Achieving Distribution and Bounds on the Capacity
Ian Zieder, Antonino Favano, Luca Barletta +1
This work considers a binomial noise channel. The paper can be roughly divided into two parts. The first part is concerned with the properties of the capacity-achieving distributio…
Improved Bounds on the Number of Support Points of the Capacity-Achieving Input for Amplitude Constrained Poisson Channels
Luca Barletta, Alex Dytso, Shlomo Shamai
This work considers a discrete-time Poisson noise channel with an input amplitude constraint and a dark current parameter . It is known that the capacity-achieving…