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Biomedical and Pharmacological Literature Archives

SUCCESSIVE CANCELLATION DECODER OF POLAR CODES FOR 5G COMMUNICATION

Mrs. Sowmya Jyothi, B. SRI SAI KAVYA, G. TEJASRI

Published Nov 21, 2025• 0 citations
OpenAlex

Abstract

Polar codes have emerged as a promising error correction coding scheme for the next generation communication systems, particularly in the context of 5G technology. This Project architectures for polar code decoders using stochastic computing. Prior efforts were focused on design of polar decoders via deterministic computation, while the behaviour of stochastic polar decoder, which can have potential advantages such as low complexity and strong error-resilience, was not been studied. We design implement 8-bit stochastic polar SC decoder and verify the functionality.

Related papers

Successive cancellation decoding of polar codes using stochastic computing

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Polar codes have emerged as the most favorable channel codes for their unique capacity-achieving property. To date, numerous approaches for efficient decoding of polar codes have been reported. However, these prior efforts focused on design of polar decoders via deterministic computation, while the behavior of stochastic polar decoder, which can have potential advantages such as low complexity and strong error-resilience, has not been studied in existing literatures. This paper, for the first time, investigates polar decoding using stochastic logic. Specifically, the commonly-used successive cancellation (SC) algorithm is reformulated into the stochastic form. Several methods that can potentially improve decoding performance are discussed and analyzed. Simulation results show that a stochastic SC decoder can achieve similar error-correcting performance as its deterministic counterpart. This work can pave the way for future hardware design of stochastic polar codes decoders.

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Efficient stochastic list successive cancellation decoder for polar codes

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Representing continuous values by streams of random binary bits, stochastic decoding has shown advantages in both hardware efficiency and fault tolerance, therefore has been widely adopted by iterative decoding of error correction codes such as low-density parity-check (LDPC) codes and so on. Recently, polar codes, the first codes that can provably achieve the capacity of symmetric binary-input discrete memoryless channels (B-DMCs), have drawn a lot of attentions from both academia and industry. Although, polar codes with list successive cancellation (SC) decoding can outperform several best-known LDPC codes even within high error-rate regions, the linearly increasing hardware complexity makes its efficient implementation difficult. To this end, the stochastic list SC polar decoding algorithm is proposed in this paper to provide a good tradeoff between performance and complexity. In order to increase the decoding performance of stochastic list SC polar decoder, doubling probability approach is presented. The corresponding hardware architecture is also given. The approximate doubling approach is employed to facilitate the efficient implementation. Implementation results have shown that the proposed stochastic list SC polar decoder can achieve a good trade-off between performance and complexity.

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Polar codes have received recent attention due to their potential to be applied in advanced wireless communication protocols such as the fifth generation mobile communication system (5G). Among the existing decoding algorithms, Belief Propagation (BP) exhibits high-throughput, low-latency, and soft output with a high hardware cost. Stochastic computing, as a form of approximate computing, provides a potential low-cost implementation solution for the BP algorithm. However, existing stochastic BP decoders suffer from a relatively long decoding latency resulting in low hardware efficiency. In this paper, a novel bit-wise iterative stochastic decoding architecture for the BP algorithm is proposed to improve the throughput and hardware efficiency. By utilizing the frozen bits of polar codes and stochastic computing, multiple novel optimization methods are presented to further speed up convergence and increase the hardware efficiency.

IEEE Transactions on Signal Processing•Jan 15, 2019•31 citations

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Polar codes have received recent attention due to their potential to be applied in advanced wireless communication protocols such as the fifth generation mobile communication system (5G). Among the existing decoding algorithms, Belief Propagation (BP) exhibits high-throughput, low-latency and soft output with a high hardware cost. A form of approximate computing called stochastic computing provides a low-cost implementation solution for the BP algorithm. However, existing stochastic BP decoders suffer from a relatively long decoding latency resulting in low hardware efficiency. In this paper, a novel bit-wise iterative stochastic decoding architecture for the BP algorithm is proposed to improve the throughput and hardware efficiency. Multiple methods at the algorithm and architecture levels are presented to further speed up convergence and hardware efficiency.

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As two common successive cancellation (SC)-based decoding algorithms of polar codes, the SC list (SCL) and SC stack (SCS) decoder can achieve satisfactory error correction performance, especially with increased list size or stack depth. Nevertheless, a large list size or stack depth will lead to high computational complexities and hardware resources. To this end, successive cancellation priority (SCP) decoding with priority- first searching strategy and trellis-like storage is proposed to offer one solution. In this paper, an efficient SCP decoder is first proposed to verify its advantages over SCL and SCS decoders. Furthermore, an adaptive node-inserting scheme is proposed to reduce the number of bits insert into the priority queue. Numerical results have shown that for the polar code with transmission length 1024 and rate 1/2, the proposed adaptive SCP (ASCP) decoder can achieve significant time complexity reduction on average compared with the standard SCL decoder. The hardware architecture of SCP decoding is implemented using 65-nm CMOS technology and the results show better throughput compared with the SCS decoder.

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Successive cancellation decoder for very long polar codes

Bertrand Le Gal, Camille Leroux, Christophe Jégo

Polar codes are a family of error correcting codes that achieves the symmetric capacity of memoryless channels when the code length N tends to infinity. However, moderate code lengths are required in most of wireless digital applications to limit the decoding latency. In some other applications, such as optical communications or quantum key distribution, the latency introduced by very long codes is not an issue. The main challenge is to design codes with the best error correction capability, a tractable complexity and a high throughput. In such a context, SC decoding is an interesting solution because its performance improves with N while the computational complexity scales almost linearly. In this paper, we propose to improve the scalability of SC decoders thanks to four architectural optimizations. The resulting SC decoder is implemented on an FPGA device and favorably compares with state-of-the-art scalable SC decoders. Moreover, a 222polar code SC decoder is implemented on a Stratix-5 FPGA. This code length is twice larger than the ones achieved in previous works. To the best of our knowledge, this is the first architecture for which a N = 4 million bits polar code can be actually decoded on a reconfigurable circuit.

SiPS ... design and implementation - IEEE Workshop on Signal Processing Systems•Oct 1, 2017•3 citations
Polar codes have emerged as a promising error correction coding scheme for the next generation communication systems, particularly in the context of 5G technology. This Project architectures for polar code decoders using stochastic computing. Prior efforts were focused on design of polar decoders via deterministic computation, while the behaviour of stochastic polar decoder, which can have potential advantages such as low complexity and strong error-resilience, was not been studied. We design implement 8-bit stochastic polar SC decoder and verify the functionality.
Polar codes have emerged as the most favorable channel codes for their unique capacity-achieving property. To date, numerous approaches for efficient decoding of polar codes have been reported. However, these prior efforts focused on design of polar decoders via deterministic computation, while the behavior of stochastic polar decoder, which can have potential advantages such as low complexity and strong error-resilience, has not been studied in existing literatures. This paper, for the first time, investigates polar decoding using stochastic logic. Specifically, the commonly-used successive cancellation (SC) algorithm is reformulated into the stochastic form. Several methods that can potentially improve decoding performance are discussed and analyzed. Simulation results show that a stochastic SC decoder can achieve similar error-correcting performance as its deterministic counterpart. This work can pave the way for future hardware design of stochastic polar codes decoders.
Representing continuous values by streams of random binary bits, stochastic decoding has shown advantages in both hardware efficiency and fault tolerance, therefore has been widely adopted by iterative decoding of error correction codes such as low-density parity-check (LDPC) codes and so on. Recently, polar codes, the first codes that can provably achieve the capacity of symmetric binary-input discrete memoryless channels (B-DMCs), have drawn a lot of attentions from both academia and industry. Although, polar codes with list successive cancellation (SC) decoding can outperform several best-known LDPC codes even within high error-rate regions, the linearly increasing hardware complexity makes its efficient implementation difficult. To this end, the stochastic list SC polar decoding algorithm is proposed in this paper to provide a good tradeoff between performance and complexity. In order to increase the decoding performance of stochastic list SC polar decoder, doubling probability approach is presented. The corresponding hardware architecture is also given. The approximate doubling approach is employed to facilitate the efficient implementation. Implementation results have shown that the proposed stochastic list SC polar decoder can achieve a good trade-off between performance and complexity.
Polar codes have received recent attention due to their potential to be applied in advanced wireless communication protocols such as the fifth generation mobile communication system (5G). Among the existing decoding algorithms, Belief Propagation (BP) exhibits high-throughput, low-latency, and soft output with a high hardware cost. Stochastic computing, as a form of approximate computing, provides a potential low-cost implementation solution for the BP algorithm. However, existing stochastic BP decoders suffer from a relatively long decoding latency resulting in low hardware efficiency. In this paper, a novel bit-wise iterative stochastic decoding architecture for the BP algorithm is proposed to improve the throughput and hardware efficiency. By utilizing the frozen bits of polar codes and stochastic computing, multiple novel optimization methods are presented to further speed up convergence and increase the hardware efficiency.
Polar codes have received recent attention due to their potential to be applied in advanced wireless communication protocols such as the fifth generation mobile communication system (5G). Among the existing decoding algorithms, Belief Propagation (BP) exhibits high-throughput, low-latency and soft output with a high hardware cost. A form of approximate computing called stochastic computing provides a low-cost implementation solution for the BP algorithm. However, existing stochastic BP decoders suffer from a relatively long decoding latency resulting in low hardware efficiency. In this paper, a novel bit-wise iterative stochastic decoding architecture for the BP algorithm is proposed to improve the throughput and hardware efficiency. Multiple methods at the algorithm and architecture levels are presented to further speed up convergence and hardware efficiency.
As two common successive cancellation (SC)-based decoding algorithms of polar codes, the SC list (SCL) and SC stack (SCS) decoder can achieve satisfactory error correction performance, especially with increased list size or stack depth. Nevertheless, a large list size or stack depth will lead to high computational complexities and hardware resources. To this end, successive cancellation priority (SCP) decoding with priority- first searching strategy and trellis-like storage is proposed to offer one solution. In this paper, an efficient SCP decoder is first proposed to verify its advantages over SCL and SCS decoders. Furthermore, an adaptive node-inserting scheme is proposed to reduce the number of bits insert into the priority queue. Numerical results have shown that for the polar code with transmission length 1024 and rate 1/2, the proposed adaptive SCP (ASCP) decoder can achieve significant time complexity reduction on average compared with the standard SCL decoder. The hardware architecture of SCP decoding is implemented using 65-nm CMOS technology and the results show better throughput compared with the SCS decoder.
Polar codes are a family of error correcting codes that achieves the symmetric capacity of memoryless channels when the code length N tends to infinity. However, moderate code lengths are required in most of wireless digital applications to limit the decoding latency. In some other applications, such as optical communications or quantum key distribution, the latency introduced by very long codes is not an issue. The main challenge is to design codes with the best error correction capability, a tractable complexity and a high throughput. In such a context, SC decoding is an interesting solution because its performance improves with N while the computational complexity scales almost linearly. In this paper, we propose to improve the scalability of SC decoders thanks to four architectural optimizations. The resulting SC decoder is implemented on an FPGA device and favorably compares with state-of-the-art scalable SC decoders. Moreover, a 222polar code SC decoder is implemented on a Stratix-5 FPGA. This code length is twice larger than the ones achieved in previous works. To the best of our knowledge, this is the first architecture for which a N = 4 million bits polar code can be actually decoded on a reconfigurable circuit.