Rollback Cyclic Redundancy Check Algorithm in High Bit-width
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摘要: 为解决大位宽变长数据包情况下包尾数据的循环冗余校验(CRC)32算法处理存在的臃肿低效问题，将循环冗余校验算法变换为矩阵线性运算，利用逆矩阵反向回滚运算，得到正确的CRC运算结果；并在FPGA上进行了实验验证。结果表明：回滚运算的算法可行，并且实现简单，资源占用少。在512 bit位宽的情况下，回滚算法使得资源占用降低到了传统算法的15%；综合耗时降低到了传统算法的30%，布局/布线的耗时降低到了传统算法的40%。Abstract: In order to overcome the complicated implementation to process tail data in high bit-width Cyclic Redundancy Check(CRC) calculation for variable length packet, linear matrix computation is used to investigate CRC inverse calculation. And a rollback algorithm is introduced to simplify the regular algorithm. Then the experiment is conducted to implement the rollback algorithm in Altera FPGA device. The results show that rollback algorithm utilizes fewer resource and is more easily to implement. In 512 bit data width variable length CRC calculation implement in FPGA, the resource utilization is decreased to 15% of regular algorithm by applying rollback algorithm. Synthesis time is decreased to 30%, and Place&Route time is deceased to 40%. It is concluded that the new rollback algorithm has great advantage.
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Key words:
- Cyclic Redundancy Check(CRC) /
- FPGA /
- Matrix linear computation /
- Rollback
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表 1 实验环境
项目 规格 备注 器件厂家/型号 Altera/ 5CEFA7U19C7 Cyclone–V系列 开发软件 Quartus II 13.1 (64–bit) V13.1 开发平台 便携PC机 – 操作系统 Win10 – CPU Core–8250U 4核 主频 1.6 GHz – 内存 8 GB DDR4 
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王新梅, 肖国镇. 纠错码: 原理与方法[M]. 西安: 西安电子科技大学出版社, 1991.WANG Xinmei and XIAO Guozhen. Error Correcting Code: Principleand Method[M]. Xi’an: Xidian University Publisher, 1991. 王琼, 罗亚洁, 李思舫. 基于分段循环冗余校验的极化码自适应连续取消列表译码算法[J]. 电子与信息学报, 2019, 41(7): 1572–1578. doi: 10.11999/JEIT180716WANG Qiong, LUO Yajie, and LI Sifang. Polar adaptive successive cancellation list decoding based on segmentation cyclic redundancy check[J]. Journal of Electronics &Information Technology, 2019, 41(7): 1572–1578. doi: 10.11999/JEIT180716 刘璐, 武明亮, 何俊强. 基于循环冗余校验码的差错控制分析与实现[J]. 成都大学学报: 自然科学版, 2011, 30(1): 82–85. doi: 10.3969/j.issn.1004-5422.2011.01.024LIU Lu, WU Mingliang, and HE Junqiang. Implementation of error control based on cyclic redundancy check[J]. Journal of Chengdu University:Natural Science Edition, 2011, 30(1): 82–85. doi: 10.3969/j.issn.1004-5422.2011.01.024 肖艳艳, 何晓雄. 基于FPGA的CRC算法的串行和并行实现[J]. 合肥工业大学学报: 自然科学版, 2016, 39(10): 1362–1366. doi: 10.3969/j.issn.1003-5060.2016.10.013XIAO Yanyan and HE Xiaoxiong. Serial and parallel implementation of CRC algorithm based on FPGA[J]. Journal of Hefei University of Technology:Natural Science, 2016, 39(10): 1362–1366. doi: 10.3969/j.issn.1003-5060.2016.10.013 夏忠海, 任勇峰, 贾兴中, 等. 基于FPGA的CRC查表法设计及优化[J]. 电测与仪表, 2017, 54(3): 54–59, 88. doi: 10.3969/j.issn.1001-1390.2017.03.010XIA Zhonghai, REN Yongfeng, JIA Xingzhong, et al. Design and optimization of CRC look-up table method based on the FPGA[J]. Electrical Measurement &Instrumentation, 2017, 54(3): 54–59, 88. doi: 10.3969/j.issn.1001-1390.2017.03.010 左飞飞, 杜英森, 刘剑霏. 基于递推法的CRC-32校验码并行改进算法[J]. 探测与控制学报, 2019, 41(1): 97–101.ZUO Feifei, DU Yingsen, and LIU Jianfei. Improved parallel algorithm for CRC-32 check code based on recursive method[J]. Journal of Detection &Control, 2019, 41(1): 97–101. DONG Xiguang and He Yongqiang. CRC algorithm for embedded system based on table lookup method[J]. Microprocessors and Microsystems, 2020, 74: 103049. doi: 10.1016/j.micpro.2020.103049 DUBROVA E and MANSOURI S S. A BDD-based approach to constructing LFSRs for parallel CRC encoding[C]. 2012 IEEE 42nd International Symposium on Multiple-valued Logic, Victoria, Canada, 2012: 128–133. doi: 10.1109/ISMVL.2012.20. 徐展琦, 裴昌幸, 董淮南. 一种通用多通道并行CRC计算及其实现[J]. 南京邮电大学学报: 自然科学版, 2008, 28(2): 53–57.XU Zhanqi, PEI Changxing, and Dong Huainan. Generalized CRC computation algorithm with multiple channels and its implementation[J]. Journal of Nanjing University of Posts and Telecommunications:Natural Science, 2008, 28(2): 53–57. QAQOS N N. Optimized FPGA implementation of the CRC using parallel pipelining architecture[C]. 2019 International Conference on Advanced Science and Engineering, Zakho - Duhok, Iraq, 2019: 46–51. doi: 10.1109/ICOASE.2019.8723800. WU Chuxiong and SHI Haifeng. Design and implementation of parallel CRC algorithm for fibre channel on FPGA[J]. The Journal of Engineering, 2019(21): 7827–7830. doi: 10.1049/joe.2019.0727 朱正鹏, 朱旭锋, 李宾, 等. 一种位宽可变的CRC校验算法及硬件实现[J]. 航天控制, 2019, 37(2): 42–48.ZHU Zhengpeng, ZHU Xufeng, LI Bin, et al. Data width variable CRC verification algorithm and hardware implementation[J]. Aerospace Control, 2019, 37(2): 42–48. 张友亮, 刘志军, 马成海, 等. 万兆以太网MAC层控制器的FPGA设计与实现[J]. 计算机工程与应用, 2012, 48(6): 77–79. doi: 10.3778/j.issn.1002-8331.2012.06.023ZHANG Youliang, LIU Zhijun, MA Chenghai, et al. Design and implementation of 10-Gigabit Ethernet MAC controller based on FPGA[J]. Computer Engineering and Applications, 2012, 48(6): 77–79. doi: 10.3778/j.issn.1002-8331.2012.06.023 孔德伟, 袁国顺, 刘小强. 基于FPGA的万兆以太网链路的设计与实现[J]. 微电子学与计算机, 2019, 36(12): 21–25. doi: 10.19304/j.cnki.issn1000-7180.2019.12.005KONG Dewei, YUAN Guoshun, and LIU Xiaoqiang. The design and implementation of 10 Gigabit Ethernet link based on FPGA[J]. Microelectronics &Computer, 2019, 36(12): 21–25. doi: 10.19304/j.cnki.issn1000-7180.2019.12.005 LI Bin, HUANG Zhiping, SHAO Jingsu, et al. Implementation of CRC in 10-Gigabit Ethernet Based on FPGA[J]. Applied Mechanics and Materials, 2014, 599–601: 1548–1552. doi: 10.4028/www.scientific.net/AMM.599-601.1548 袁征, 冶晓隆, 郭超. 基于FPGA的10G以太网并行CRC设计[J]. 计算机工程与设计, 2014, 35(5): 1510–1515. doi: 10.3969/j.issn.1000-7024.2014.05.003YUAN Zheng, YE Xiaolong, and GUO Chao. Implementation of parallel CRC for 10 gigabit Ethernet based on FPGA[J]. Computer Engineering and Design, 2014, 35(5): 1510–1515. doi: 10.3969/j.issn.1000-7024.2014.05.003 陈容, 陈岚, HAIDER W A. 基于公式递推法的可变计算位宽的循环冗余校验设计与实现[J]. 电子与信息学报, 2020, 42(5): 1261–1267. doi: 10.11999/JEIT190503CHEN Rong, CHEN Lan, and HAIDER W A. Design and implementation of cyclic redundancy check with variable computing width based on formula recursive algorithm[J]. Journal of Electronics &Information Technology, 2020, 42(5): 1261–1267. doi: 10.11999/JEIT190503 -
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