Formation of extended modulation code schemes based on the LDPC codec 5G NR

In modern wireless communication systems, adaptive coding and modulation are used to ensure high spectral efficiency and error correction. This paper examines a modification of coding schemes based on the LDPC codec for 5G NR communication systems. The goal of the study is to extend the range of coding schemes for different signal-to-noise ratios (SNR) in adaptive modulation and coding. This is achieved by adjusting the lifting factor (Zc) and expanding the LDPC code rate range from 10/1024 to 1000/1024. The coding schemes also propose using a wider range of modulation schemes, including up to 4096-QAM, which increases the spectral efficiency of data transmission. The work relies on mathematical simulations using the Monte Carlo method to evaluate the bit error rate (BER) as a function of the SNR for various combinations of coding schemes. Both the combinations specified in the 5G NR standards and those proposed in this study are considered. A threshold SNR level is identified for each parameter combination, at which the communication system can ensure a bit error probability that does not exceed the threshold value. The dependencies of achievable spectral efficiency on SNR are obtained. The results of the study demonstrate an expanded operational SNR range compared to 5G NR, within which the communication system remains functional. The proposed solution improves spectral efficiency at low noise levels and enables data transmission at low speeds under high noise conditions, where the schemes specified in 5G NR standards are unable to maintain communication. The results of this research can be applied to various telecommunications systems, including mobile networks, the Internet of Things (IoT), unmanned aerial vehicles (UAVs), and radio relay communication lines.