1. Institute of Electrical Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China
2. Tangshan Power Supply Company of North Hebei Electric Power Co. Ltd, Tangshan, Hebei 063000, China
Abstract：The noise in the signal acquisition process will cause a certain degree of difficulty to the follow-up work, so the elimination of noise interference is the key problem for the accurate next work. A regularized chirp mode pursuit (RCMP) algorithm is proposed. The algorithm extracts each chirp mode from the signal through a priori frequency information and a recursive framework, which has a certain degree of adaptability. The proposed RCMP algorithm is applied to the noise reduction of sensor data, and the noise reduction performance of the RCMP algorithm is studied through simulatd signals and actual signals. At the same time, the feasibility and superiority of the proposed method are verified by comparing the noise reduction method with EMD combined with interval threshold, CEEMDAN combined with interval threshold and VMD combined with correlation coefficient.
［1］郑海明, 刘佳. 差分吸收光谱测量臭氧浓度信号去噪的实验研究 ［J］. 计量学报, 2020, 41(6): 759-764.
Zheng H M, Liu J. Experimental Study on Denoising of Ozone Concentration Signal by Differential Absorption Spectroscopy ［J］. Acta Metrologica Sinica, 2020, 41(6): 759-764.
［2］Xu X B, Luo M Z, Tan Z Y, et al. Echo signal extraction method of laser radar based on improved singular value decomposition and wavelet threshold denoising ［J］. Infrared Physics and Technology, 2018, 92: 327-335.
［3］马敏, 王涛. 双小波非凸稀疏正则化去噪算法研究 ［J］. 计量学报, 2021, 42(1): 85-90.
Ma M, Wang T. Research on Double Wavelet Nonconvex Sparse Regularization Denoising Algorithm ［J］. Acta Metrologica Sinica, 2021, 42(1): 85-90.
［4］Chang J H, Zhu L Y, Li H X, et al. Noise reduction in Lidar signal using correlation-based EMD combined with soft thresholding and roughness penalty ［J］. Optics Communications, 2018, 407: 290-295.
［5］陈真诚, 吴贤亮, 赵飞骏. EEMD结合小波阈值的光电容积脉搏波信号降噪 ［J］. 光学精密工程, 2019, 27(6): 1327-1334.
Chen Z C, Wu X L, Zhao F J. Denoising and implementation of Photoplethysmography signal based on EEMD and wavelet threshold ［J］. Optics and Precision Engineering, 2019, 27(6): 1327-1334.
［6］贾亚超, 李国龙, 何坤, 等. 基于灰色准则与EEMD的滚刀振动信号降噪方法 ［J］. 仪器仪表学报, 2019, 40(7): 187-194.
Jia Y C, Li G L, He K, et al. Denoising method for vibration signal of hob based on grey criterion and EEMD ［J］. Chinese Journal of Scientific Instrument, 2019, 40(7): 187-194.
［7］樊凤杰, 白洋, 纪会芳. 基于EEMD-ICA的脑电去噪算法研究 ［J］. 计量学报, 2021, 42(3): 395-400.
Fan F J, Bai Y, Ji H F. Denoising Method of EEG Signal Based on EEMD-ICA ［J］. Acta Metrologica Sinica, 2021, 42(3): 395-400.
［8］徐利, 徐久强, 冯家乐. 结合CEEMDAN与改进区间阈值的ECG降噪研究 ［J］. 小型微型计算机系统, 2020, 41(8): 1576-1579.
Xu L, Xu J Q, Feng J L. Research on ECG Denoising Combined with CEEMDAN and Improved Interval Threshold ［J］. Journal of Chinese Computer Systems, 2020, 41(8): 1576-1579.
［9］Zhang S Q, Liu H T, Hu M F, et al. An Adaptive CEEMDAN Thresholding Denoising Method Optimized by Nonlocal Means Algorithm ［J］. IEEE Transactions on Instrumentation and Measurement, 2020, 69(9): 6891-6903.
［10］陆振宇, 卢亚敏, 夏志巍, 等. 基于变分模态分解和小波分析的语音信号去噪方法 ［J］. 现代电子技术, 2018, 41(13): 47-51.
Lu Z Y, Lu Y M, Xia Z W, et al. Speech signal denoising method based on VMD and wavelet analysis ［J］. Modern Electronics Technique, 2018, 41(13): 47-51.
［11］陈召全, 朱明星, 章小兵, 等. 基于模糊控制的小波包多阈值语音减噪新算法 ［J］. 计量学报, 2019, 40(1): 134-139.
Chen Z Q, Zhu M X, Zhang X B, et al. A New Algorithm of Wavelet Packet Multi Threshold Speech Denoising Based on Fuzzy Control ［J］. Acta Metrologica Sinica, 2019, 40(1): 134-139.
［12］徐妍琰, 孟建军, 张宇彤, 等. 基于小波分析的脉搏采集信号处理研究 ［J］. 工业控制计算机, 2020, 33(12): 63-64+67.
Xu Y T, Meng J J, Zhang Y T, et al. Research on Pulse Acquisition Signal Processing Based on Wavelet Analysis ［J］. Industrial Control Computer, 2020, 33(12): 63-64+67.
［13］Bayer F M, Kozakevicius A J, Cintra R J. An iterative wavelet threshold for signal denoising ［J］. Signal Processing, 2019, 162: 10-20.
［14］Zhang X, Li J L, Xing J C, et al. A Particle Swarm Optimization Technique-Based Parametric Wavelet Thresholding Function for Signal Denoising ［J］. Circuits, Systems, and Signal Processing, 2017, 36(1): 247-269.
［15］Kabir A, Shahnaz C. Denoising of ECG signals based on noise reduction algorithms in EMD and wavelet domains ［J］. Biomedical Signal Processing and Control, 2012, 7(5): 481-489.
［16］Zhang S, Li Y. Seismic exploration desert noise suppression based on complete ensemble empirical mode decomposition with adaptive noise ［J］. Journal of Applied Geophysics, 2020, 180.
［17］Chen S Q, Yang Y, Peng Z K, et al. Adaptive chirp mode pursuit: Algorithm and applications ［J］. Mechanical Systems and Signal Processing, 2019, 116: 566-584.
［18］Chen S Q, Dong X J, Peng Z K, et al. Nonlinear Chirp Mode Decomposition: A Variational Method ［J］. IEEE Transactions on Signal Processing, 2017, 65(22): 6024-6037.
［19］Lv Q Y, Ye D X, Qiao S, et al. High dynamic-range motion imaging based on linearized doppler radar sensor ［J］. IEEE Transactions on Microwave Theory and Techniques, 2014, 62(9): 1837-1846.
［20］McNeill S I. Decomposing a signal into short-time narrow-banded modes ［J］. Journal of Sound and Vibration, 2016, 373: 325-339.
［21］Feldman M. Time-varying vibration decomposition and analysis based on the Hilbert transform ［J］. Journal of Sound and Vibration, 2006, 295(3-5): 518-530.
2022, Vol. 43 
