Some New Constructions of Girth-8 QC-LDPC Codes for Future GNSS

Inseon Kim, Hong Yeop Song

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


In this letter, we propose a new construction of girth-8 Quasi-Cyclic Low-Density Parity-Check codes (QC-LDPC) with various lengths for the global navigation satellite systems (GNSS). This scheme combines two steps. The first is the construction of a family of regular girth-8 QC-LDPC codes of various lengths and rates with two designed sequences. The second is the performance improvement of those from the first construction of half-rate cases using a proposed weight matrix so that the result becomes type-II QC-LDPC codes. This results in some final codes with short lengths of 600, 1200, and 1800, especially for future GNSS. We performed a simulation and confirmed that the proposed QC-LDPC codes of lengths 600 and 1200 have an additional coding gain about 0.3 dB at frame error rate 10-5 over the LDPC codes used in the Global Positioning System.

Original languageEnglish
Pages (from-to)3780-3784
Number of pages5
JournalIEEE Communications Letters
Issue number12
Publication statusPublished - 2021 Dec 1

Bibliographical note

Publisher Copyright:
© 1997-2012 IEEE.

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering


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