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Fast Bit-Flipping Decoding of Polar Codes with Additional Nodes
P. 360–365.
Ilya S. Timokhin, Fedor I. Ivanov
Polar codes have gained significant a ttention in recent years due to their superior performance, making them an attractive choice for use in modern communication systems. In this paper, we present a novel approach for implementing a fast decoding method for polar codes with additional nodes. Specifically, we propose a modification of the fast decoding method with bit-flipping capability, called the GSCLAF, which is designed to improve the correction capability of the decoder. To achieve this, we consider additional nodes of five types, which are obtained by a combination of basic generalized nodes, namely information, frozen, SPC, and REP nodes. To evaluate the performance of our proposed algorithm, numerical experiments were conducted using the 5G NR polar code. The results of these experiments demonstrate the effectiveness of GSCLAF relative to other popular polar decoding algorithms. Overall, our proposed algorithm provides a powerful tool for improving the decoding performance of polar codes with additional nodes, making it a promising solution for modern communication systems that require high data rates and reliable communication.
Publication based on the results of:
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In 4G and 5G cellular networks, a 4-step random access procedure is used. A significant challenge arises when a large number of users attempt to connect within a short period of time. To address this issue, the access class barring mechanism is employed. There are numerous studies that analyze the average connection time for users ...
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The recursive (U|U+V) construction, a generalization of which includes polar codes, provides a powerful framework for building complex codes from simpler components. However, existing approaches predominantly rely on fixed or symmetric tree architectures, overlooking the critical impact of decomposition choice on code performance. This paper addresses the challenge of optimal tree decomposition selection by presenting a framework ...
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The Successive Cancellation List (SCL) algorithm is a widely used decoding technique in communication systems. However, constructing the critical set for SCL decoding is a challenging task, as it requires a large number of computations and can lead to significant decoding delays. In this paper, a new approach to critical set construction for SCL decoding ...
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An analysis of error probability of decoding of (U∣U+V) construction is described in this paper. The derivation of the probability of decoding error is shown for (U∣U+V) sequential decoder. The observed theoretical probability of error can be extended to (U∣U+V) constructions with varying numbers of levels. The method is derived for an additive white gaussian noise channel (AWGN). The presented expression ...
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Telecommunication technologies and networks, Internet of things systems,
Data security, blockchain and control systems. ...
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Concatenated codes are currently being actively investigated for the next-generation wireless communication sys tems due to their flexibility and ability to be used in various scenarios. The serial type of concatenation provides good error correcting properties with a potential reduction in complexity when an iterative concatenated decoder is used at the receiver side. One of ...
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Polar codes have emerged as a focal point in the field of error-correcting codes, owing to their remarkable capacity-achieving characteristics and their relevance in various modern communication systems. The basic successive cancellation (SC) approach is not optimal to use in terms of the trade-off between performance and decoding complexity. SC-Creeper algorithm performs better with about ...
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Представлен обзор стандарта 3GPP 38.212 и известных реализаций двух важных классов кодов – полярных и кодов LDPC (Low-Density Parity-Check) – широко применяемых в современных системах хранения данных и связи вообще и мобильной связи в частности. В первой части статьи рассматриваются основные принципы работы кодов LDPC, их структура и методы кодирования. Указывается, что LDPC-коды являются одними ...
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XVIII International Symposium "Problems of Redundancy in Information and Control Systems" is the conference that covers a wide area of aspects of information and communication systems. The main goal of the Symposium foundation is the reinforcement of cooperation between the representatives of various scientific schools, a possibility for the participants to get awareness of the latest ...
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Added: April 18, 2023
Timokhin I., Ivanov F., Digital Signal Processing 2023 Vol. 137 Article 104008
In this paper, an improvement for successive cancellation (SC) decoding is presented for polar codes. This improvement is based on applying Creeper approach that was used to decode convolutional codes. The proposed decoder combines a stack and a Fano approaches, allowing to significantly decrease complexity of Successive Cancellation Fano decoder at the cost of a ...
Added: March 18, 2023
Ivanov F., Четвериков И. С., Kreshchuk A. et al., Proceedings of the IEEE 2022 P. 60–64
In this paper, an improvement for successive cancellation (SC) decoding is presented for polar codes. This improvement is based on applying Creeper approach that was used to decode convolutional codes. The proposed decoder combines a stack and a Fano approaches and allows to significantly decrease complexity of Successive Cancellation Fano decoder at the cost of ...
Added: January 26, 2023