基于广义解调和广义S变换的时频域去噪方法
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摘要
毫米波干涉仪回波信号的信噪比对膛内高速运动目标参数的测试精度有重要影响,传统的时域或频域去噪方法经常受到使用条件的限制,为此提出一种基于广义解调和广义S变换的时频域去噪方法。首先估计信号的相位函数对其进行广义解调和广义S变换,在时频域构造有效的滤波器进行降噪处理,随后对去噪信号进行广义S逆变换和逆广义解调并在此基础之上得到目标的运动曲线。基于此方法的二维滤波器参数完全与时间无关,极大地降低了时频滤波器的构造难度。仿真和实测数据分析结果表明:该算法与希尔伯特黄等方法相比能够有效提高信噪比并改善测试精度。
The signal to noise ratio of echo of the millimeter-wave interferometer has a significant effect on the testing precision of high speed moving objects parameters,but traditional denoising methods based on time-domain or frequency-domain are often restricted by practical conditions.A denoising algorithm based on generalized demodulation and generalized S-transform was proposed in this paper.The signal was generally demodulated and S-transformed with an estimating phase,and denoised with a effective filter in the time-frequency domain.Finally,with the anti-generalized demodulation and anti-generalized S-transform,the mathematic moving function of the target was calculated based on this denoising signal.The difficulty of creating the 2-D filter was greatly diminished for its parameters had no relation to time factors.Simulation results and testing data analysis showed that,comparing with Hilbert-Huang transform and other algorithms,the signal to noise ratio and testing precision were promoted effectively by this method.
The signal to noise ratio of echo of the millimeter-wave interferometer has a significant effect on the testing precision of high speed moving objects parameters,but traditional denoising methods based on time-domain or frequency-domain are often restricted by practical conditions.A denoising algorithm based on generalized demodulation and generalized S-transform was proposed in this paper.The signal was generally demodulated and S-transformed with an estimating phase,and denoised with a effective filter in the time-frequency domain.Finally,with the anti-generalized demodulation and anti-generalized S-transform,the mathematic moving function of the target was calculated based on this denoising signal.The difficulty of creating the 2-D filter was greatly diminished for its parameters had no relation to time factors.Simulation results and testing data analysis showed that,comparing with Hilbert-Huang transform and other algorithms,the signal to noise ratio and testing precision were promoted effectively by this method.
引文
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[9]Stockwell R G,et al.Localization of the complex spec-trum:The S-transform[J].IEEE Transactions on SignalProcessing,1996,44(4):998-1 001.
[10]Stockwell R G.A basis for efficient representation of theS-transform[J].Digital Signal Processing,2007,17(1):371-393.
[11]高静怀,陈文超,李幼铭,等.广义S变换与薄互层地震响应分析[J].地球物理学报,2003,46(4):526-532.GAO Jinghuai,CHEN Wenchao,LI Youming,et al.Gen-eralized S transform and seismic response analysis of thininterbeds[J].Chinese Journal of Geophysics,2003,46(4):526-532.
[12]赵淑红,朱光明.S变换时频滤波去噪方法[J].石油地球物理勘探,2007,42(4):402-408.ZHAO Shuhong,ZHU Guangming.Time-frequency filte-ring to denoise by S transform[J].OGP,2007,42(4):402-408.
[13]Junsheng Cheng,Yu Yang,Dejie Yu.The envelope orderspectrum based on generalized demodulation time-fre-quency analysis and its application to gear fault diagnosis[J].Mechanical Systems and Signal Processing,2010,24(2):508-521.
[2]王黎明,赵昕,刘洪涛,等.微波干涉仪测试数据处理方法[J].火炮发射与控制学报,2004(4):63-66.WANG Liming,ZHAO Xin,LIU Hongtao,et al.Methodof test data processing on microwave interferometer[J].Gun Launch&Control Journal,2004(4):63-66.
[3]肖剑,柳斌,郭亚龙,等.基于希尔伯特变换的干涉仪信号处理[J].探测与控制学报,2010,32(1):80-83.XIAO Jian,LIU Bin,GUO Yalong,et al.Signal process-ing of microwave interferometer based on hilbert trans-form[J].Journal of Detection&Control,2010,32(1):80-83.
[4]陶金泉.毫米波干涉仪信号处理研究[D].南京:南京理工大学电光学院,2009.
[5]Olhede S,Walden A T.A generalized demodulation ap-proach to time-frequency projections formulticom-ponentsignals[J].Proceeding s of the Royal Society A,2005,461(2059):2 159-2 179.
[6]Zhi Pengfang,Fulei Chu,Ming J Zuo.Time-frequency a-nalysis of time-varying modulated signals based on im-proved energy separation by iterative generalized[J].Journal of Sound and Vibration,2011,33(6):1 225-1243.
[7]杨宇,程军圣,于德介.广义解调时频分析方法中的若干问题探讨[J].振动与冲击,2008,27(2):19-24.YANG Yu,CHENG Junsheng,YU Dejie.Study on someproblems in the generalized demodulation time-frequencyanalysis method[J].Jouranl of Vibration and Shock,2008,27(2):19-24.
[8]罗向龙,高静怀.基于广义解调和奇异值分解的时频表示增强[J].数据采集与处理,2010,25(4):419-424.LUO Xianglong,GAO Jinghuai.Enhancing time-frequen-cy representation based on generalized demodulation andSVD[J].Journal of Data Acquisition&Processing,2010,25(4):419-424.
[9]Stockwell R G,et al.Localization of the complex spec-trum:The S-transform[J].IEEE Transactions on SignalProcessing,1996,44(4):998-1 001.
[10]Stockwell R G.A basis for efficient representation of theS-transform[J].Digital Signal Processing,2007,17(1):371-393.
[11]高静怀,陈文超,李幼铭,等.广义S变换与薄互层地震响应分析[J].地球物理学报,2003,46(4):526-532.GAO Jinghuai,CHEN Wenchao,LI Youming,et al.Gen-eralized S transform and seismic response analysis of thininterbeds[J].Chinese Journal of Geophysics,2003,46(4):526-532.
[12]赵淑红,朱光明.S变换时频滤波去噪方法[J].石油地球物理勘探,2007,42(4):402-408.ZHAO Shuhong,ZHU Guangming.Time-frequency filte-ring to denoise by S transform[J].OGP,2007,42(4):402-408.
[13]Junsheng Cheng,Yu Yang,Dejie Yu.The envelope orderspectrum based on generalized demodulation time-fre-quency analysis and its application to gear fault diagnosis[J].Mechanical Systems and Signal Processing,2010,24(2):508-521.
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