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International Conference on Wireless Communications and Signal Processing (WCSP)

A Unified Deep Learning Based Polar-LDPC Decoder for 5G Communication Systems

Yaohan Wang, Zhichao Zhang, Shunqing Zhang, Shan Cecilia Cao, Shugong Xu

Published Oct 1, 2018• 37 citations
Publisher

Abstract

In the 5G communication systems, a hybrid approach to support polar codes for control plane and LDPC codes for data plane has been identified as the channel coding solution for enhanced mobile broadband (eMBB) scenario. One of the major challenges to implement this approach is to design powerful decoders at the terminal side. Inspired from a useful machine learning based polar decoder, we proposed a deep learning based unified polar-LDPC by concatenating an indicator section. Through numerical experiments, we show that the proposed deep neural network (DNN) based decoding architecture can achieve the similar decoding performance compared with the traditional BP-based decoding algorithm. Meanwhile, the proposed unified approach shares the same network architecture and parameters with isolated approaches, which saves significant implementation resources consequently.

DOI
10.1109/wcsp.2018.8555891

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In the 5G communication systems, a hybrid approach to support polar codes for control plane and LDPC codes for data plane has been identified as the channel coding solution for enhanced mobile broadband (eMBB) scenario. One of the major challenges to implement this approach is to design powerful decoders at the terminal side. Inspired from a useful machine learning based polar decoder, we proposed a deep learning based unified polar-LDPC by concatenating an indicator section. Through numerical experiments, we show that the proposed deep neural network (DNN) based decoding architecture can achieve the similar decoding performance compared with the traditional BP-based decoding algorithm. Meanwhile, the proposed unified approach shares the same network architecture and parameters with isolated approaches, which saves significant implementation resources consequently.
Polar codes have been chosen by 3GPP as the official error-correcting codes in the control plane of 5G NR enhanced Mobile Broadband (eMBB) due to their low complexity decoding and near-DMC capacity achievement. Recently, deep learning methods have produced promising results in many fields, including linear and polar code decoding. Using end-to-end DL approach provides flexibility, thus empowering us to integrate powerful DL algorithms into channel decoders. In this paper, we propose a novel one-shot decoding framework for polar codes using Attention-based Recurrent Neural Network (ATRNN). Furthermore, we evaluate the decoding performance of ATRNN using bit error rate (BER) and compare it with the state-of-the-art techniques such as successive cancellation (SC).
With the raised requirements by 5G wireless communications, a reconfigurable decoder supporting both LDPC codes (for data plane) and polar codes (for control plane) is required. Due to the inherent structure differences between LDPC codes and polar codes, an straightforward combination of existing decoders is generally difficult. In this paper, we propose a joint decoding algorithm by analyzing the standard-compatible coding structure and re-investigating the merged BP algorithm. Based on that, we implement the joint decoding scheme using a pipelined hardware architecture and show that the proposed approach achieves higher hardware efficiency than traditional schemes. Decoding performance loss is negligible if compared with existing stand-alone LDPC or polar decoder.
We investigate the application of machine learning techniques (in particular, deep neural networks, DNN) to improve the decoding algorithms of short quasi-cyclic low-density paritycheck (LDPC) codes adopted to the 5G standard. We note that straightforward application of general-purpose DNNs is not possible due to the curse of dimensionality problem – the training set size grows exponentially with the number of information bits. In our opinion, the only way to deal with this problem is to combine deep learning methods with existing decoding algorithms. We start with a Tanner-based neural network decoder with Min-Sum activation functions proposed by Nachmani et al. and extend it as follows. First, the quasi-cyclic nature of 5G LDPC codes allows us to use a single weight per circular matrix (circulant). We refer to this as weight sharing. This idea significantly reduces the training time, preserving the error-correcting performance. Second, we add residual connections to our NN architecture. Residual connections improve the performance and reduce the training time. We also present the results for the rate and length adaptation techniques. Rate adaptation allows multiple DNNs corresponding to different coding rates to run with a single set of trained weights. Length adaptation allows optimally reusing weights for multiple lifting size indices.
Deep learning recently shows strong competitiveness to improve polar code decoding. However, suffering from prohibitive training and computation complexity, the conventional deep neural network (DNN) is only possible for very short code length. In this paper, the main problems of deep learning in decoding are well solved. We first present the multiple scaled belief propagation (BP) algorithm, aiming at obtaining faster convergence and better performance. Based on this, deep neural network decoder (NND) with low complexity and latency, is proposed for any code length. The training only requires a small set of zero codewords. Besides, its computation complexity is close to the original BP. Experiment results show that the proposed (64,32) NND with 5 iterations achieves even lower bit error rate (BER) than the 30-iteration conventional BP and (512, 256) NND also outperforms conventional BP decoder with same iterations. The hardware architecture of basic computation block is given and folding technique is also considered, saving about 50% hardware cost.
This paper presents deep learning (DL) methods to optimize polar belief propagation (BP) decoding and concatenated LDPC-polar codes. First, two-dimensional offset Min-Sum (2-D OMS) decoding is proposed to improve the error-correction performance of existing normalized Min-Sum (NMS) decoding. Two optimization methods used in DL, namely back-propagation and stochastic gradient descent, are exploited to derive the parameters of proposed algorithms. Numerical results demonstrate that there is no performance gap between 2-D OMS and exact BP on various code lengths. Then the concatenated OMS algorithms with low complexity are presented for concatenated LDPC-polar codes. As a result, the optimized concatenated OMS decoding yields error-correction performance with CRC-aided successive cancellation list (CA-SCL) decoder of list size 2 on length-1024 polar codes. In addition, the efficient hardware architectures of scalable polar OMS decoder are described and the proposed decoder is reconfigurable to support three code lengths (N = 256, 512, 1024) and two decoding algorithms (2-D OMS and concatenated OMS). The polar OMS decoder implemented on 65 nm CMOS technology achieves a maximum coded throughput of 5.4 Gb/s at Eb/N0= 4 dB for code length 1024 and 7.5 Gb/s at Eb/N0= 3.5 dB for code length 256, which are comparable to the state-of-the-art polar BP decoders. Moreover, a 5.1 Gb/s throughput at Eb/N0= 4 dB is achieved under concatenated OMS decoding mode for code length 1024 with a latency of 200 ns, which is superior to existing CA-SCL decoders that have similar error-correction performance.
Polar code is the first type of constructive coding with achievable capacity, which has become the encoding scheme for 5G mobile communication systems and is a cutting-edge direction in channel coding research. However, traditional decoding algorithms for Polar codes still need to be improved in terms of errorcorrection performance and decoding delay. For Polar code short codes, due to the phenomenon of incomplete Polar, the traditional SC decoding algorithm has a problem of poor decoding performance. Algorithms that utilize deep learning for direct or auxiliary operations often yield more accurate computational results with lower computational complexity. Therefore, considering that applying deep learning to the communication field is a mainstream trend in the 6G era, a (16,8) short Polar code decoder based on recurrent neural network (RNN) is proposed. At the same time, a suitable dataset construction method was proposed, which achieved better performance than SC decoding algorithm under low signal-to-noise ratio by adjusting network parameters and training under the appropriate dataset.