LDPC Codes for Communication Systems: Coding Theoretic Perspective

Nozaki, Takayuki; Isaka, M.

doi:10.1587/transcom.2021ebi0001

Cited by 3 publications

(1 citation statement)

References 67 publications

(70 reference statements)

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“…Standarisasi ini memastikan interoperabilitas dan kompatibilitas diberbagai implementasi jaringan yang berbeda, mendorong jaringan 5G yang konsisten dan andal pada implementasinya. QC-LDPC adalah varian khusus dari LDPC yang digunakan pada 5G, kode LDPC menggunakan matriks paritas yang rendah dan tidak memiliki struktur tertentu (Nozaki & Isaka, 2022). Pada penelitian ini menggunakan QC-LDPC yang memiliki struktur tertentu yang disebut sebagai quasi-cyclic, matriks paritas memiliki pola yang terstruktur, yang membuat lebih efisien dalam implementasi sistem.…”

Section: Pendahuluanunclassified

Analisis Kinerja Jaringan 5G dengan Pengkodean QC-LDPC dan Polar

WAHYUNINGRUM,

GINTING,

NI’AMAH

et al. 2024

ELKOMIKA

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ABSTRAKJaringan 5G telah menjadi penanda penting dalam evolusi teknologi nirkabel yang menawarkan kecepatan dan kinerja yang luar biasa untuk memenuhi kebutuhan konektivitas yang semakin meningkat. Dalam jaringan 5G, pengkodean kanal merupakan elemen penting dalam memastikan pengiriman data yang handal dan efisien. Penelitian ini mengkaji sistem 5G pada frekuensi 26 GHz dan bandwidth 200 MHz menggunakan Orthogonal Frequency Division Multiplexing (OFDM) dengan ukuran Fast Fourier Transform (FFT) sebesar 256 dan modulasi Binary Phase Shift Keying (BPSK). Penelitian ini mengevaluasi perbandingan penambahan channel coding yaitu QC-LDPC dan polar codes. Performansi QC-LDPC codes pada BER sebesar 10-4 dapat dicapai dengan SNR 𝛾 = 17 𝑑𝐵 untuk kode QC-LDPC dan SNR 𝛾 = 15 𝑑𝐵 untuk polar codes. Hasil menunjukkan bahwa penambahan channel coding mampu menangkap diversity order kedua dan performansi polar codes lebih baik dibandingkan dengan QC-LDPC.Kata kunci: 5G, BPSK, OFDM, Polar, QC-LDPC ABSTRACTThe 5G network has become a significant milestone in the evolution of wireless technology, offering remarkable speed and performance to meet the growing demands of connectivity. In the 5G network, channel coding is a crucial element to ensure reliable and efficient data transmission. This research evaluate the 5G network operating at a frequency of 26 GHz and a bandwidth of 200 MHz, utilizing Orthogonal Frequency Division Multiplexing (OFDM) with an Fast Fourier Transform (FFT) size of 256 and Binary Phase Shift Keying (BPSK) modulation. The research evaluates the comparison of adding channel coding using QC-LDPC and polar codes. The performance of QC-LDPC codes at a bit error rate (BER) of 10-4 can be achieved with an SNR of 𝛾 = 17 𝑑𝐵 for QC-LDPC codes and an SNR of 𝛾 = 15 𝑑𝐵 for polar codes. The results shows the addition of channel coding is capable of capturing second-order diversity, and polar codes outperforms QC-LDPC in terms of performances.Keywords: 5G, BPSK, OFDM, Polar, QC-LDPC

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Section: Pendahuluanunclassified

Analisis Kinerja Jaringan 5G dengan Pengkodean QC-LDPC dan Polar

WAHYUNINGRUM,

GINTING,

NI’AMAH

et al. 2024

ELKOMIKA

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Low-Complexity Hybrid Algorithm for Decoding Convolutional Codes

Liu

2022

2022 IEEE 8th International Conference on Computer and Communications (ICCC)

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Constructing Grith Eight GC-LDPC Codes Based on the GCD FLRM Matrix with a New Lower Bound

Zhu

Yang

2022

Sensors

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By connecting multiple short, local low-density parity-check (LDPC) codes with a global parity check, the globally coupled (GC) LDPC code can attain high performances with low complexities. The typical design of a local code is a quasi-cyclic (QC) LDPC for which the code length is proportional to the size of circulant permutation matrix (CPM). The greatest common divisor (GCD)-based full-length row multiplier (FLRM) matrix is constrained by a lower bound of CPM size to avoid six length cycles. In this paper, we find a new lower bound for the CPM size and propose an algorithm to determine the minimum CPM size and the corresponding FLRM matrix. Based on the new lower bound, two methods are proposed to construct the GC-QC-LDPC code of grith 8 based on the GCD based FLRM matrix. With the proposed algorithm, the CPM size can be 45% less than that given by sufficient condition of girth 8. Compared with the conventional GC-LDPC construction, the codes constructed with the proposed method have improved performance and are more flexible in code length and code rate design.

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LDPC Codes for Communication Systems: Coding Theoretic Perspective

Abstract: Low-density parity-check (LDPC) codes are widely used in communication systems for their high errorcorrecting performance. This survey introduces the elements of LDPC codes: decoding algorithms, code construction, encoding algorithms, and several classes of LDPC codes.

Cited by 3 publications

References 67 publications

Analisis Kinerja Jaringan 5G dengan Pengkodean QC-LDPC dan Polar

Analisis Kinerja Jaringan 5G dengan Pengkodean QC-LDPC dan Polar

Low-Complexity Hybrid Algorithm for Decoding Convolutional Codes

Constructing Grith Eight GC-LDPC Codes Based on the GCD FLRM Matrix with a New Lower Bound

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