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Turbo Decoder Design based on an LUT-Normalized Log-MAP Algorithm.

Jun Li1, Xiumin Wang2, Jinlong He2

  • 1Binjiang College, Nanjing University of Information Science & Technology, Wuxi 214105, China.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary
This summary is machine-generated.

A new normalized Log-MAP (Nor-Log-MAP) decoding algorithm improves Turbo code performance in wireless systems. The LUT-Nor-Log-MAP variant offers comparable decoding to LUT-Log-MAP while reducing logic resources and improving bit error rates.

Keywords:
LTE-advancedcyclone IVnormalization functional unitnormalized-Log-MAP algorithmturbo decoder

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Area of Science:

  • Wireless communication systems
  • Digital signal processing
  • Error correction coding

Background:

  • Turbo codes are crucial for error correction in wireless communications.
  • Existing approximations like Log-MAP (Log maximum a posteriori) and Max-Log-MAP in TD-LTE face challenges with high complexity or bit error rates.
  • Efficient decoding algorithms are needed to balance performance and resource utilization.

Purpose of the Study:

  • To propose a novel normalized Log-MAP (Nor-Log-MAP) decoding algorithm.
  • To develop a hybrid LUT-Nor-Log-MAP algorithm by integrating Nor-Log-MAP with LUT-Log-MAP.
  • To design a dedicated Normalization Functional Unit (NFU) for Soft-Input Soft-Output (SISO) decoder computing units.

Main Methods:

  • Approximating the max* function using a fixed normalized factor multiplied by the max function within the Log-MAP algorithm.
  • Combining the Nor-Log-MAP algorithm with a Lookup-Table Log-MAP (LUT-Log-MAP) algorithm.
  • Implementing a Normalization Functional Unit (NFU) for SISO decoders.

Main Results:

  • The LUT-Nor-Log-MAP algorithm achieves decoding performance close to the LUT-Log-MAP algorithm.
  • The LUT-Nor-Log-MAP algorithm demonstrates a resource saving of approximately 2.1% compared to the LUT-Log-MAP algorithm.
  • Compared to the Max-Log-MAP algorithm, LUT-Nor-Log-MAP shows a 0.25-0.5 dB gain in decoding performance.
  • A Turbo decoder utilizing the Nor-Log-MAP approach achieved 36 Mbit/s throughput on a Cyclone IV platform at 44 MHz.

Conclusions:

  • The proposed Nor-Log-MAP algorithm and its LUT-Nor-Log-MAP variant offer an effective trade-off between decoding performance and hardware complexity.
  • The developed NFU contributes to efficient SISO decoder design.
  • The results indicate significant improvements in resource efficiency and error correction capabilities for Turbo decoders in wireless communication standards like TD-LTE.