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Beyond Equal-Power Sparse NOMA: Two User Classes and Closed-Form Bounds on the Achievable Region.

Benjamin M Zaidel1, Ori Shental2, Shlomo Shamai Shitz3

  • 1The Alexander Kofkin Faculty of Engineering, Bar-Ilan University, Ramat-Gan 5290002, Israel.

Entropy (Basel, Switzerland)
|February 25, 2022
PubMed
Summary

This study analyzes regular sparse code-domain Non-Orthogonal Multiple Access (NOMA) for beyond-5G networks. We derive analytical bounds for achievable rates, revealing performance gains for diverse user classes and conditions for outperforming dense NOMA.

Keywords:
entropy power inequalitynon-orthogonal multiple-accesssparse code-domain NOMA

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Area of Science:

  • Wireless communication networks
  • Information theory
  • Signal processing

Background:

  • Non-orthogonal multiple access (NOMA) is crucial for future beyond-5G wireless networks.
  • Exploring the fundamental information-theoretic limits of NOMA is essential.
  • Previous work by the authors provides a foundation for this study.

Purpose of the Study:

  • To extend NOMA analysis to a setting with two user classes having different power constraints.
  • To derive and investigate closed-form analytical bounds on the achievable rate region in the large-system limit.
  • To provide insights into the performance gains of regular sparse NOMA in practical scenarios.

Main Methods:

  • Utilizing regular sparse code-domain NOMA with fixed orthogonal resource allocation.
  • Deriving inner bounds using the conditional vector entropy power inequality (EPI).
  • Deriving outer bounds based on a strengthened version of the EPI.

Main Results:

  • Explicit closed-form analytical inner and outer bounds on the achievable rate region are derived.
  • Performance is comparatively investigated in extreme signal-to-noise ratio (SNR) regimes.
  • Insights into performance gains for mixed user classes (e.g., low-complexity/broadband, cell-edge/cell-center) are provided.

Conclusions:

  • Regular sparse NOMA shows potential performance gains in practical settings with diverse user power constraints.
  • Conditions for superior performance over dense code-domain NOMA are identified.
  • The derived bounds are applicable to interference networks, including Wyner-type cellular models.