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Updated: Jul 27, 2025

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Patterned Reed-Muller Sequences with Outer A-Channel Codes and Projective Decoding for Slot-Controlled Unsourced

Wenjiao Xie1, Huisheng Zhang1

  • 1School of Electronics and Information, Northwestern Polytechnical University, Xi'an 710129, China.

Sensors (Basel, Switzerland)
|June 10, 2023
PubMed
Summary
This summary is machine-generated.

We introduce a new coded compressed sensing method for unsourced random access, enhancing efficiency and user capacity. This patterned Reed-Muller code significantly improves performance in wireless networks.

Keywords:
block fading channelscomplex Reed–Muller codeserror correcting codesgeometry theorymachine-to-machine communicationsprojective decoderunsourced random access

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Area of Science:

  • Wireless Communications
  • Information Theory
  • Coding Theory

Background:

  • Unsourced random access (URA) enables devices to transmit without pre-assigned slots.
  • Compressed sensing (CS) techniques can improve spectral efficiency in URA systems.
  • Existing URA schemes face challenges in managing massive device access and ensuring reliable communication.

Purpose of the Study:

  • To propose a novel coded compressed sensing scheme for unsourced random access.
  • To introduce a new class of codes, patterned Reed-Muller (PRM) codes, for URA.
  • To enhance spectral efficiency and user capacity in URA systems.

Main Methods:

  • Development of a slot-pattern-control based coded compressed sensing framework.
  • Proposal and analysis of patterned Reed-Muller (PRM) codes with a focus on their geometric properties.
  • Design of a projective decoder leveraging the geometric properties of PRM codes.
  • Extension of the PRM code's 'patterned' property for slot control criterion to reduce simultaneous transmissions.
  • Joint optimization of inner and outer codes (t-tree and Reed-Solomon with Guruswami-Sudan list decoding) to minimize signal-to-noise ratio (SNR).

Main Results:

  • Demonstration of high spectral efficiency due to the large sequence space of PRM codes.
  • Proof of a geometric property in the complex domain enhancing detection reliability and efficiency.
  • Identification of factors influencing sequence collision probability.
  • Favorable comparison with benchmark schemes in terms of energy-per-bit and accommodated active users.
  • Determination of optimal setups for practical outer codes to minimize SNR.

Conclusions:

  • The proposed slot-pattern-control based coded compressed sensing scheme with PRM codes offers significant improvements for unsourced random access.
  • PRM codes provide enhanced reliability and efficiency through their unique geometric properties.
  • The scheme effectively reduces simultaneous transmissions and minimizes sequence collisions.
  • Joint optimization of inner and outer codes leads to superior performance in terms of energy efficiency and user capacity.