A variational approach for assessing the capacity of a memoryless nonlinear MIMO channel

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A transmission over a memoryless discrete-time noisy multiple-input- multiple-output (MIMO) channel is considered here in this letter, where the signal is distorted according to a nonlinear function at the receiver side, and the input signal is constrained to have a fixed even moment. A variational approach is proposed to analyze the capacity of such a memoryless nonlinear MIMO channel whose output is perturbed by additive white Gaussian noise (AWGN). The optimal input distribution that achieves the channel capacity is derived through a methodology based on multidimensional Hermite polynomials.

Original languageEnglish
Article number6853365
Pages (from-to)1315-1318
Number of pages4
JournalIEEE Communications Letters
Issue number8
Publication statusPublished - 2014
Externally publishedYes



  • Capacity
  • channel
  • MIMO
  • nonlinear

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

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