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Low complexity symmetric-coded based sphere decoding for low-rate polar codes.

Yuanbo Liu1, Haiqiang Chen2,3,4, Jichang Chen5

  • 1School of Computer, Electronics and Information, Guangxi University, Nanning, 530004, China.

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A new sphere decoding (SD) algorithm for polar codes in MIMO systems reduces computational complexity. This symmetric-coded SD algorithm significantly lowers average visited nodes (AVN) with minimal performance loss.

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Area of Science:

  • Electrical Engineering
  • Information Theory
  • Computer Science

Background:

  • Maximum Likelihood (ML) detection in Multi-Input Multi-Output (MIMO) systems faces high computational complexity.
  • Sphere Decoding (SD) offers a reduced complexity alternative for ML detection.
  • Polar codes are efficient error-correcting codes, but their detection can be complex.

Purpose of the Study:

  • To propose a novel, low-complexity, symmetric-coded based Sphere Decoding (SD) algorithm.
  • To optimize SD for short polar codes with low rates in MIMO systems.
  • To reduce the computational complexity and Average Visited Nodes (AVN) of SD detection.

Main Methods:

  • Developed a symmetric-coded based SD algorithm utilizing a specific generator matrix structure.
  • Modified the SD algorithm's backtrack operation to start from an earlier bit.
  • Employed simulation to evaluate the performance of the proposed SD algorithm.

Main Results:

  • The proposed SD algorithm significantly reduces Average Visited Nodes (AVN) for polar codes, e.g., P(64, 14) at 1 dB SNR.
  • Achieved a reduction in AVN with a performance loss within 0.2 dB compared to the original SD algorithm.
  • Demonstrated the algorithm's effectiveness for low-rate short polar codes.

Conclusions:

  • The novel symmetric-coded SD algorithm offers a substantial reduction in computational complexity for MIMO systems.
  • This approach is particularly beneficial for short polar codes with low rates.
  • The algorithm presents a viable solution for MIMO systems where ML detection complexity is prohibitive.