An Impulse Noise Detection Algorithm Based on Kurtosis and FPGA Implementation
-
摘要: 针对激光测振系统中散斑效应导致的语音脉冲噪声,该文研究了一种基于4阶累积量的峰度检测算法,推导了峰度系数和归一化峰度系数的数学迭代公式,并在FPGA的实现中提出了一种峰度系数的动态阈值的判决方法。基于实验数据的仿真结果表明,该算法较理论公式减少了约25%的计算量,节省了硬件资源,对较小幅度的脉冲噪声具有更敏感的检测性能。Abstract: For the speech impulse noise caused by the speckle effect in the laser vibration measurement system, a kurtosis detection algorithm based on the fourth-order cumulant is studied, and the mathematical iterative formulas for the kurtosis coefficient and the normalized kurtosis coefficient are deduced, and a method for determining the dynamic threshold of kurtosis coefficient is proposed in FPGA. The simulation results based on experimental data show that the algorithm reduces the calculation by about 25% compared with the theoretical formula and saves hardware resources, and has a more sensitive detection performance for lower amplitude impulse noise.
-
Key words:
- Laser vibration measurement /
- Speckle effect /
- Impulse noise /
- Kurtosis detection
-
表 1 4种峰度系数迭代算法计算量对比
算法 ± × ÷ 峰度系数 4 8 0 归一化峰度系数 4 8 1 改进的峰度系数 3 6 0 改进的归一化峰度系数 3 6 1 -
[1] 张旭东. 现代信号分析和处理[M]. 北京: 清华大学出版社, 2018: 350–357.ZHANG Xudong. Modern Signal Analysis and Processing[M]. Beijing: Tsinghua University Press, 2018: 350–357. [2] ZHANG Yongrong, WANG Jian, WU Guannan, et al. Wireless signal classification based on high-order cumulants and machine learning[C]. 2018 IEEE International Conference of Safety Produce Informatization (IICSPI), Chongqing, China, 2018: 246–250. doi: 10.1109/IICSPI.2018.8690352. [3] 张廷华, 樊桂花, 孙华燕, 等. 微弱脉冲激光回波信号的峰度检测[J]. 装备指挥技术学院学报, 2009, 20(3): 71–74. doi: 10.3783/j.issn.1673-0127.2009.03.017ZHANG Tinghua, FAN Guihua, SUN Huayan, et al. The detection of weak pulse laser echo signal by the kurtosis[J]. Journal of the Academy of Equipment Command &Technology, 2009, 20(3): 71–74. doi: 10.3783/j.issn.1673-0127.2009.03.017 [4] JING Shuangxi, YUAN Jinle, LI Xinhua, et al. Weak fault feature identification for rolling bearing based on EMD and spectral kurtosis method[C]. 2018 International Conference on Information Systems and Computer Aided Education (ICISCAE), Changchun, China, 2018: 235–239. doi: 10.1109/ICISCAE.2018.8666841. [5] BENARABI T, ADNANE M, and MANSOUR M. High order statistics for ventricular ectopic beats detection[C]. 2018 International Conference on Applied Smart Systems (ICASS), Medea, Algeria, 2018: 1–4. doi: 10.1109/ICASS.2018.8651975. [6] HU Yue, BAO Wenjie, TU Xiaotong, et al. An adaptive spectral kurtosis method and its application to fault detection of rolling element bearings[J]. IEEE Transactions on Instrumentation and Measurement, 2020, 69(3): 739–750. doi: 10.1109/TIM.2019.2905022 [7] 刘卫东, 刘尚合. 基于峰度特征的瞬态电磁信号检测提取方法[J]. 微波学报, 2018, 34(6): 78–83. doi: 10.14183/j.cnki.1005-6122.201806017LIU Weidong and LIU Shanghe. Transient electromagnetic signal detection and extraction based on kurtosis value[J]. Journal of Microwaves, 2018, 34(6): 78–83. doi: 10.14183/j.cnki.1005-6122.201806017 [8] YAKOUBI M, HAMDI R, and SALAH M B. Abnormal brain detection and analysis of EEG signals[C]. 2018 International Conference on Signal, Image, Vision and their Applications (SIVA), Guelma, Algeria, 2018: 1–5. doi: 10.1109/SIVA.2018.8661078. [9] 程培培, 刘越智. 归一化峰度在广播信号处理中的应用[J]. 中国无线电, 2015(10): 63–64. doi: 10.3969/j.issn.1672-7797.2015.10.034CHENG Peipei and LIU Yuezhi. Application of normalized kurtosis in broadcast signal processing[J]. China Radio, 2015(10): 63–64. doi: 10.3969/j.issn.1672-7797.2015.10.034 [10] SASAOKA N, HAMAHASHI N, and ITOH Y. Speech enhancement with impact noise activity detection based on the kurtosis of an instantaneous power spectrum[J]. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2017, E100. A(9): 1942–1950. doi: 10.1587/transfun.E100.A.1942 [11] 姜囡, 谢俊仪. 低信噪比下语音端点检测算法改进设计[J]. 中国刑警学院学报, 2018(1): 123–128. doi: 10.14060/j.issn.2095-7939.2018.01.024JIANG Nan and XIE Junyi. Design of endpoint detection algorithm in low SNR[J]. Journal of Criminal Investigation Police University of China, 2018(1): 123–128. doi: 10.14060/j.issn.2095-7939.2018.01.024 [12] PRODEUS A, KOTVYTSKYI I, and GREBIN A. Using kurtosis for objective assessment of the musical signals clipping degree[C]. 2019 IEEE International Scientific-Practical Conference Problems of Infocommunications, Science and Technology (PIC S&T), Kyiv, Ukraine, 2019: 655–659. doi: 10.1109/PICST47496.2019.9061420. [13] PRODEUS A, KOTVYTSKYI I, DIDKOVSKA M, et al. Kurtosis and its transformations as objective measures of clipping value and speech quality[C]. The 5th International Conference Actual Unmanned Aerial Vehicles Developments, Kiev, Ukraine, 2019: 21–26. doi: 10.1109/APUAVD47061.2019.8943880. [14] NEMER E, GOUBRAN R, and MAHMOUD S. Speech enhancement using fourth-order cumulants and optimum filters in the subband domain[J]. Speech Communication, 2002, 36(3/4): 219–246. doi: 10.1016/s0167-6393(00)00081-9 [15] NEMER E, GOUBRAN R, and MAHMOUD S. The third-order cumulant of speech signals with application to reliable pitch estimation[C]. The 9th IEEE Signal Processing Workshop on Statistical Signal and Array Processing, Portland, USA, 2002. doi: 10.1109/SSAP.1998.739426. [16] 张安清, 章新华. 四阶累积量的递推估计及其应用[J]. 信号处理, 2002, 18(1): 88–90. doi: 10.3969/j.issn.1003-0530.2002.01.022ZHANG Anqing and ZHANG Xinhua. Recursive estimation of fourth-order cumulants and application[J]. Signal Processing, 2002, 18(1): 88–90. doi: 10.3969/j.issn.1003-0530.2002.01.022