Title:

Low Density Parity Check Codes Constructed from Hankel Matrices, Journal of Telecommunications and Information Technology, 2018, nr 3

Creator:

Djebbari, Ali ; Tehami, Mohammed Amine

Subject and Keywords:

error correcting codes ; girth ; low density parity check codes ; dual diagonal matrix ; Hankel matrix

Description:

In this paper, a new technique for constructing low density parity check codes based on the Hankel matrix and circulant permutation matrices is proposed. The new codes are exempt of any cycle of length 4. To ensure that parity check bits can be recursively calculated with linear computational complexity, a dual-diagonal structure is applied to the parity check matrices of those codes. The proposed codes provide a very low encoding complexity and reduce the stored memory of the matrix H in which this matrix can be easily implemented comparing to others codes used in channel coding. The new LDPC codes are compared, by simulation, with uncoded bi-phase shift keying (BPSK). The result shows that the proposed codes perform very well over additive white Gaussian noise (AWGN) channels.

Publisher:

Instytut Łączności - Państwowy Instytut Badawczy

Date:

2018, nr 3

Resource Type:

artykuł

Format:

application/pdf

Resource Identifier:

ISSN 1509-4553, on-line: ISSN 1899-8852

Source:

Journal of Telecommunications and Information Technology

Language:

ang

Rights Management:

Biblioteka Naukowa Instytutu Łączności