Journal
IEEE COMMUNICATIONS LETTERS
Volume 25, Issue 12, Pages 3780-3784Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LCOMM.2021.3120106
Keywords
Codes; Parity check codes; Global navigation satellite system; Matrices; Global Positioning System; Standards; Shape; QC-LDPC codes; protograph; Type-II QC-LDPC codes; GNSS
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Funding
- National Research Foundation of Korea (NRF) - Korea Government (MSIT) [2020R1A2C201196912]
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This research presents a new construction method for girth-8 QC-LDPC codes with various lengths, which shows improved performance compared to LDPC codes used in the Global Positioning System. Specifically, the proposed QC-LDPC codes of lengths 600 and 1200 demonstrate an additional coding gain of about 0.3 dB at a frame error rate of 10(-5).
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.
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