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Design of quasi-cyclic low density parity check codes with high girth

Hamal, Prahlad (2017). Design of quasi-cyclic low density parity check codes with high girth. Master of Engineering Thesis, Charles Darwin University.

Document type: Thesis
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Author Hamal, Prahlad
Title Design of quasi-cyclic low density parity check codes with high girth
Institution Charles Darwin University
Publication Date 2017-05-26
Thesis Type Master of Engineering
Supervisor Vafi, Sina
0906 - Electrical and Electronic Engineering
Abstract Channel coding is a technique used in digital communications to ensure a transmission is received with minimal errors. It starts with encoding the message signal at source side and ends after decoding the received signal at receiver side. Channel coding comprises different methods to achieve performance in terms of error correction capability and transmission speed. One promising technique is the application of forward error correction (FEC) codes. This thesis uses a type of FEC codes called quasi-cyclic low density parity check (QC-LDPC) codes. The performance of the codes reflects to the extent, original message is retrieved from this noise. This is done through proper design of parity check matrix. Appropriate strategy for better performance of the codes is derived by formulation of non-existence condition of short cycles in the parity check matrix.

The focus of this thesis is to develop a new scheme of different rate (1/2, 2/3, 3/4 and 4/5) QCLDPC codes. It proposes conditions to avoid cycle 4 and 6 in parity check matrix to construct high performance codes. In this case, the thesis implements regular QC LDPC codes that avoids cycle-4 and cycle-6, whose parity check matrix has column weight three. In comparison with other codes, the proposed one provides similar or even better performance.
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Created: Fri, 16 Jun 2017, 11:39:29 CST by Jessie Ng