Capacity-Achieving Input Distributions of Additive Vector Gaussian Noise Channels: Even-Moment Constraints and Unbounded or Compact Support

We investigate the support of a capacity-achieving input to a vector-valued Gaussian noise channel. The input is subjected to a radial even-moment constraint and is either allowed to take any value in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="i...

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Bibliographic Details
Main Authors: Jonah Eisen, Ravi R. Mazumdar, Patrick Mitran
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/8/1180