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<p>This paper proposes a novel approach forconstructing multi-rateQuasi–Cyclic Low-Density Parity-Check (MR QCLDPC) codes for satellite communication with various code rates. The low-rate codes are created from a higher-rate mother code with the same fundamental decoder architecture. Multilateral shortening, extending, and partial masking is used to construct Multi-Rate QCLDPCcodes. The circulant permutation matrix based on a finite fieldis constructed to obtain exponent matrices. The proposed codes haveachieved a coding gain between 0.4dB and 0.6 dB for different code rates using less time than the existing search-based methods.The proposed codes performed better when decoded using amin-sum layered decoder. The bit error rate of the proposed codes is below <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11042_2025_20619_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="33" /> </InlineMediaObject> <EquationSource Format="TEX">\({10}^{-6}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>-</mo> <mn>6</mn> </mrow> </msup> </math></EquationSource> </InlineEquation>. The high coding gain and low bit error rate has not only improved the spectral efficiency and transmitting power of the system but also makes it harder to disrupt or corrupt the data.</p>

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Construction of Multi-Rate QCLDPC codes using a search-based method for satellite communication

  • 期刊论文

  • 发表日期：

    2025年1月23日

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  • Gurinderjit Kaur,
  • Manish Gupta,
  • Rajesh Kumar Narula,
  • Digvijay Pandey,
  • Jaskarn Singh Bhullar,
  • Jasvinder Singh,
  • Parul Parul

摘要

This paper proposes a novel approach forconstructing multi-rateQuasi–Cyclic Low-Density Parity-Check (MR QCLDPC) codes for satellite communication with various code rates. The low-rate codes are created from a higher-rate mother code with the same fundamental decoder architecture. Multilateral shortening, extending, and partial masking is used to construct Multi-Rate QCLDPCcodes. The circulant permutation matrix based on a finite fieldis constructed to obtain exponent matrices. The proposed codes haveachieved a coding gain between 0.4dB and 0.6 dB for different code rates using less time than the existing search-based methods.The proposed codes performed better when decoded using amin-sum layered decoder. The bit error rate of the proposed codes is below \({10}^{-6}\) 10 - 6 . The high coding gain and low bit error rate has not only improved the spectral efficiency and transmitting power of the system but also makes it harder to disrupt or corrupt the data.