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

Inseon Kim, Hong Yeop Song

Research output: Contribution to journalArticlepeer-review

6 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

Funding Information:
This work was supported by the National Research Foundation of Korea (NRF) Grant funded by the Korea Government (MSIT) (No. 2020R1A2C201196912). The associate editor coordinating the review of this letter and approving it for publication was K. Niu. (Corresponding author: Hong-Yeop Song.)

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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