Home > Published Issues > 2024 > Volume 19, No. 2, 2024 >
JCM 2024 Vol.19(2): 90-98
Doi: 10.12720/jcm.19.2.90-98

Efficient Generation of Puncturing-Assisted Rate-Matched 5G New Radio LDPC Codes for Faster-Than-Nyquist Signaling

Asma A. Alqudah1,*, Khaled F. Hayajneh1,2, Hasan A. Aldiabat1, and Hazim M. Shakhatreh1
1.Telecommunications Engineering Department, Yarmouk University, Irbid, Jordan
2.College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait
Emails: asma.qudah @yu.edu.jo (A.A.A.); khaled.hayajneh@aum.edu.kw (K.F.H.); hasan.aldiabat@yu.edu.jo (H.A.A.); hazim.s@yu.edu.jo (H.M.S.)
*Corresponding author

Manuscript received August 10, 2023; revised October 10, 2023, accepted October 30, 2023; published February 26, 2024.

Abstract—This paper presents a comprehensive analysis of the utilization of rate-matched 5G New Radio (NR) Low- Density Parity Check (LDPC) codes for decoding fasterthan- Nyquist signaled data symbols in an Additive White Gaussian Noise (AWGN) channel. The rate-matching techniques employing message-bit and parity-bit puncturing are thoroughly explained, showcasing the applications of various rates during the coding process. Moreover, in conjunction with the aforementioned rate-matching and puncturing methods, a puncturing scheme is employed on the first two columns of the parity-check matrix derived from the 5G NR LDPC base graphs. The performance of the 5G NR LDPC code, integrated as the outer decoder in turbo equalization for faster-than-Nyquist signaled data symbols, is thoroughly investigated. The achieved results are compared with the performance of convolutional codes implemented in the same system setup and operating at identical code rates. By analyzing the employment of ratematched 5G NR LDPC codes, this paper provides valuable insights into their efficacy for decoding faster-than-Nyquist signaled data symbols in the AWGN channel. The comparison with convolutional codes offers a benchmark for performance evaluation, facilitating a deeper understanding of the benefits and trade-offs associated with each coding scheme.

Keywords—Faster-than-Nyquist, 5G New Radio (NR) Low- Density Parity Check (LDPC) codes, rate-matching, puncturing, turbo equalization.

Cite: Asma A. Alqudah, Khaled F. Hayajneh, Hasan A. Aldiabat, and Hazim M. Shakhatreh, “Efficient Generation of Puncturing-Assisted Rate-Matched 5G New Radio LDPC Codes for Faster-Than-Nyquist Signaling," Journal of Communications, vol. 19, no. 2, pp. 90-98, 2024. 

Copyright © 2024 by the authors. This is an open access article distributed under the Creative Commons Attribution License (CC BY-NC-ND 4.0), which permits use, distribution and reproduction in any medium, provided that the article is properly cited, the use is non-commercial and no modifications or adaptations are made.