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On Superposition Lattice Codes for the K-User Gaussian Interference Channel.

María Constanza Estela1, Claudio Valencia-Cordero1

  • 1Department of Electrical Engineering, Universidad de Santiago de Chile (USACH), Santiago 9170022, Chile.

Entropy (Basel, Switzerland)
|July 26, 2024
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Summary

Lattice Gaussian coding achieves performance close to capacity on K-user interference channels. This method mimics random codes, offering a structured approach for interference alignment and improved data rates.

Keywords:
flatness factorinterference channelslattice Gaussian coding

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Area of Science:

  • Information Theory
  • Wireless Communications
  • Coding Theory

Background:

  • The K-user Gaussian interference channel is a fundamental model in wireless communications.
  • Achieving capacity bounds in such channels is challenging due to interference.
  • Previous work by Etkin et al. established capacity gaps using random codes.

Purpose of the Study:

  • To investigate the use of lattice Gaussian coding for K-user Gaussian interference channels.
  • To explore the potential of lattice structures for interference alignment.
  • To determine if lattice coding can achieve similar performance bounds as random codes.

Main Methods:

  • Applying lattice Gaussian coding, mimicking random codes with a Gaussian distribution over lattices.
  • Imposing constraints on lattice flatness factor, message powers, and channel coefficients.
  • Utilizing lattice alignment for extending results to K-user channels.

Main Results:

  • Conditions were found to achieve the same constant gap to the optimal rate as random codes for the two-user weak Gaussian interference channel.
  • Generalized degrees of freedom comparable to random codes were obtained.
  • The lattice coding approach was successfully extended to K-user weak Gaussian interference channels.

Conclusions:

  • Lattice Gaussian coding provides a structured and effective method for interference alignment in K-user Gaussian interference channels.
  • This approach offers a constant gap to the optimal rate, matching performance achieved with random codes.
  • Lattice alignment is a viable technique for enhancing performance in complex interference scenarios.