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组合电器局放在线监测外置传感器和复小波抑制干扰的研究
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摘要
由于气体绝缘组合电器(Gas Insulated Switchgear,简称GIS)内部产生局部放电(Partial Discharge,简称PD)是引发事故的重要因素之一,因此,为了保证GIS的安全可靠运行,国内外对GIS局部放电在线监测技术开展了大量的研究,但到目前为止,对在线监测中的PD模式识别还是一个尚待深入研究的前沿课题,其难点主要是从强烈的电磁干扰环境中准确获取PD信号。为此,本文主要研究用于GIS局部放电在线监测的超高频外置传感器和前置滤波放大器,并用研制的模拟GIS内部缺陷的人工物理模型在实验室里获取大量不同缺陷下产生的PD信号数据;同时,构建用于强电磁干扰环境下GIS中PD信号处理的复小波,并阐述用复小波变换的简单信息和复合信息处理PD信号的原理和特点;通过仿真研究与实验室应用,验证用所构造的复小波变换抑制白噪声和周期窄带干扰的能力,并用软硬联合去噪法抑制GIS中PD信号干扰。取得主要成果有:
    采用并矢格林函数对PD信号电流陡脉冲激发瞬变电场进行分析计算,推导出瞬变电场的简化计算公式,证明了各次模波对计算瞬变电场的贡献大小和在仿真研究中采用高斯分布电流脉冲来模拟GIS中PD电流陡脉冲的可行性;同时,研制出了用于GIS中PD试验的3种人工模拟缺陷物理模型,为获取大量的人工试验数据和进一步开展混合缺陷下的局部放电机理研究奠定了基础。
    采用独特而巧妙的附加电抗等结构设计,使传统DA成为超宽频带天线,相对带宽比达到0.73;设计出屏蔽谐振式环天线,使得驻波比更加优良,抑制干扰能力更强;同时,研制出工作频带为300 MHz~1000MHz、增益达到20dB的JBF-1000型微带线滤波放大器,当信号经过滤波放大预处理后,信噪比大为提高,满足了超高频微弱信号的滤波与放大预处理要求。
    利用复小波变换独有的相频特性,通过对简单信息的不同组合,构建了多种复合信息,为监测GIS中的PD信号提供了更多而有效的去噪方法和手段;同时,以db小波为基础,成功地构建出db系列复小波,并详细阐明了构造复小波的思想、方法和步骤,给出了db3和db4滤波器组系数;以db4复小波为例进行了去噪应用,分解和重构表明所构建的复小波及其算法具有较高的准确性。
    在对影响复小波去噪的阈值选取、分解层数、噪声水平、干扰频率等主要因素进行深入研究的基础上,首次提出一种用于复小波变换的有效小波阈值法;从仿真和实验室去噪研究结果表明:有效小波阈值法比史坦得无偏似然估计法和基于极大
    
    
    极小原理法更优越;同时,在用众多复合信息对PD信号的去噪处理中,以实部、虚部和相位(WTRIPH)复合的信息为最佳去噪信息。
Partial discharge (PD) in Gas Insulated Switchgear (GIS) is one of the important factors for arising the fault, and therefore the on-line monitoring PD in GIS has been being researched at home and abroad in order to guarantee the safe operation of GIS. At the same time, PD pattern recognition is still an advanced problem to be studied, and it is difficult to correctly obtain the PD signal from the intense electromagnetic interferences. So this disquisition designs an outer ultra high frequency (UHF) sensor and a pre-positive filter amplifier utilized to monitor the PD signal in GIS, and a plenty of PD data are sampled with artificial physical models of PD defect in laboratory. Meanwhile, this paper introduces how to construct the complex wavelet applied to suppress the interferences, of which the characteristics of simple and multiplex information are introduced. The simulation results and practical application prove the complex wavelet transformation can excellently suppress the white noise and narrow band interference. Finally, associated method of software and hardware is adapted to extract PD signals. The main conclusions are shown as following:
    The paper uses Greens function to calculate the transient electric field excited by the PD, and develops the simplified expression of the transient electric field, and shows clearly modes’ contribution to the transient electric field and Gauss distributed current can be used to simulate the PD pulse. Three artificial physical models of PD defects establish the foundation for sampling plenty of PD data and developing the research of PD mechanism under multiplex defects.
    Annexed impedance adopted to optimize dipole antenna (DA) makes DA become ultra broadband antenna, which relative bandwidth ratio reaches 0.73. The designed shield resonance loop antenna (SRLA) holds better standing wave ratio (SWR), stronger ability to suppress interferences. On the other hand, the designed microstrip line filter amplifier JBF-1000, which bandwidth is from 300MHz to 1000MHz and the gain is 20 dB, and can effectively improve the signal-to-noise ratio and satisfy the practical application.
    The phase-frequency characteristic of the complex wavelet has been used to compose the multiplex information of the simple information, and the multiplex information can provide more effective means to monitor the PD signals in GIS and better effect to restrain the noise. This paper introduces the idea and the process of
    
    
    constructing complex wavelet. The complex wavelets based on db wavelet have been expressed according to the way, and the complex wavelet filters are shown based on db3 and db4. Furthermore, the complex wavelet based on db4 is applied to restrain the noise, and the results of the wavelet decomposition and reconstruction suggest that constructed complex wavelet and its algorithms can greatly meet the needs of engineering application.
    Based on analyzing the main factor influenced the effect of complex wavelet compressing noise, which are threshold selection, decomposition scales, noise level and interference frequency, the paper firstly puts forward the effective wavelet coefficient (EWC) threshold. The results of the simulation and application indicate that the effect of EWC suppressing noise is better than that of maximal theory and Stein unbiased risk estimate theory. Finally, the results show clearly that the multiplex information WTRIPH is the best one, which is composed of real part, imaginary part and phase of complex wavelet transformation.
引文
[1] 邱毓昌. GIS装置及其绝缘技术. 北京. 水利电力出版社. 1994.1
    [2] 苑舜. 高压开关设备状态监测与诊断技术. 北京. 机械工业出版社. 2001.2
    [3] D.Kopejtkova, T.Molony, S.kobayashi, and I.M.Welch. A Twenty-five Year Review of Experience with SF6 Gas Insulated Substations(GIS). CIGRE, Paris, France, 1992, 30th August-5th September: p23~101
    [4] 苏舜. GIS内部放电监测方法的分析. 东北电力技术. 1997.7, No.7: p7~11
    [5] 韩小莲. GIS局部放电检测系统的研究, 西安交通大学博士学位论文, 1995.7
    [6] K.S.Prakash, K.D.Srivastava and M.M.Morcos. Movement of Particles in Compressed SF6GIS with Dielectric Coated Enclosure. IEEE Transactions on Dielectrics and Electrical Insulation, 1997.6, Vol.4, No.3: p344~347
    [7] Ratnesh Kumar, R.S.Gorayan, B.P.Singh. Movement of Free Particle In A 3-Phase Gas Insulated System. The 12th International Symposium on High Voltage Engineering, Bangalore, India, August, 2001: p449~452
    [8] 冯昌远. GIS的运行经验和现场经验. 高压电器, 2000.5, Vol.27, No.1: p49~53
    [9] R.J.Van Brunt. Physics and Chemistry of Partial Discharge and Corona –Recent Advances and Future Challenges. IEEE Transactions on Dielectrics and Electrical Insulation, 1994.6, Vol.1, No.5: p761~783
    [10] 邱昌容, 王乃庆等. 电工设备局部放电及其测试技术. 北京, 机械工业出版社, 1994.5
    [11] 王建生, 邱毓昌. 气体绝缘开关设备中局部放电的在线监测技术. 电工电能新技术. 2000.4, No.4: p44~48
    [12] IEC 62270, Partial discharge measurements, [S], 1981.10
    [13] CIGRE WG15.03, Diagnostic methods for GIS insulating system[A], Cigre[C], Paris, 1992.6: p15~23
    [14] A.G.Sellars, O.Farish, M.M. Peterson. UHF Detection of Leader Discharges in SF6. IEEE Transactions on Dielectrics and Electrical Insulation, 1995.9, Vol.2, No.1: p143~154
    [15] M.D.Judd, O.Farish, J.S.Pearson and B.F.Hampton. Dielectric Windows for UHF Partial Dischage Detection. IEEE Transactions on Dielectrics and Electrical Insulation, 2001.5, Vol.8, No.6: p953~958
    [16] M.D.Judd, O.Farish, B.F.Hampton. The Excitation of UHF Signals by Partial Discharges in GIS. IEEE Transactions on Dielectrics and Electrical Insulation. 1996,Vol.3 No.2: p213~228
    [17] G.Wanninger. Antennas as Coupling Devices for UHF Diagnostics in GIS. The 9th
    
    
    International Symposium on High Voltage Engineering, Austria, Europe, August, 1995: p482~486
    [18] E.Colombo, W.Koltunowicz, M.Boldrin. Sensitivity Verification of the UHF System for PD detection in GIS. The 12th International Symposium on High Voltage Engineering, Bangalore, India, August, 2001: p397~400
    [19] L.J.Jin, J.Q.Huang, W.D.Liu, J.L.Qian. Diagnosis of Partial Discharge in GIS based on UHF Sensing Technique. Proceedings of 2001 International Symposium on Electrical Insulating Materials, November, 2001, Himeji, Japan: p251~253
    [20] Masatake Kawada, Zen-Ichiro Kawasaki and Kenji Matsu-ura. A New on-line Insulation Diagnostic Technique for Power Apparatus by Detecting Electromagnetic Signals Emitted frim PD. 1996 Asian International Conference on Dielectrics and Electrical Insulation, 4th Japan-China Conference on Electrical Insulation Diagnosis, Xi'an, China, October, 1996: p325~328
    [21] Uwe Schichler, J?rg Gorablenkow. Experience with UHF PD Detection in GIS Substations. Proceedings of the 6th International Conference on Properties and Applications of Dielectric Materials, Xi’an, China, June, 2000: p286~289
    [22] N.Konma, K.Saito, H.Takei, K.Horikoshi, H.Okj, H.Nakai, N.Okada and K.Uno. Diagnostic System and Internal Fault Location System for GIS. 日新电机技报, 1995.12, Vol.40, No.3: p55~56
    [23] Andre PETIT. Field Experience of Partial Discharge Monitoring with the UHF Method. The 9th International Symposium on High Voltage Engineering, Austria, Europe, August, 1995: p5596~5599
    [24] J.S.Pearson, B.F.Hampton and A.G.Sellars. A Continuous UHF Monitor for Gas-insulated Substations. IEEE Transactions on Electrical Insulation, 1991.8, Vol.26, No.3: p469~478
    [25] 王建生, 邱毓昌, 吴向华, 孙晓滨. 用于GIS局部放电检测的超高频传感器频率响应特性. 中国电机工程学报, 2000.8, Vol.20, No.8: p42~45
    [26] 张鸣超, 王建生, 邱毓昌. GIS中局部放电产生的超高频电磁波及其测量. 高电压技术, 1998.3, Vol.24, No.2: p22~25
    [27] 刘卫东, 黄瑜珑, 王剑锋, 钱家骊. GIS 局部放电特高频在线检测和定位. 高压电器, 1999.2, Vol.35, No.1: p11~15
    [28] Nicholas De Kock, Branko Coric and Ralf Pietsch, UHF PD Detection in Gas-insulated Switchgear—Suitability and Sensitivity of the UHF Method in Comparison with the IEC 270 Method, IEEE Electrical Insulation Magazine, 1996.2, Vol.12, No.6: p20~26
    [29] M.D.Judd, O.farish and B.F.Hampton, PhD, CEng, Broadband Couplers for UHF detection of
    
    
    Partial Discharge in Gas-insulated Substations, IEE Proc-Sci. Meas.Technol, 1995.6, Vol.142, No.3: p237~243
    [30] 覃剑,王昌长等, 特高频在电力设备局部放电在线监测中的应用, 电网技术, 1997.6, Vol.21, No.6: p33-36
    [31] W.Boeck etal. Diagnostic Methods for GIS Insulating Systems. CIGRE: 1992 Session, 30thAugust~5thSeptember, 15/23-01, Paris: p151~182
    [32] 李智敏. 超高频法检测GIS局部放电的研究, 西安交通大学博士学位论文, 1999.7
    [33] R.Baumgartner, B.Fruth, W.Lanz, and K.Pettersson, Partial Discharge—Part X: PD in Gas—Insulated Substations—Measurement and Practical Considerations, IEEE Electrical Insulation Magazine, 1992.2, Vol.8, No.1: p16~27
    [34] 邱毓昌. 用超高频法对GIS绝缘进行在线监测. 高压电器, 1997.5, Vol.33, No.4: p36~40
    [35] 刘卫东,金立军,黄家旗,钱家骊, 日本电器局部放电监测技术研究现状, 高电压技术, 2001.3, Vol.27, No.2: 76~79
    [36] A.G.Sellars,O.Farish etc. Assessing the Risk of Failure due to Particle Contamination of GIS using the UHF Technique. IEEE Transactions on Dielectrics and Electrical Insulation, 1994.3, Vol.1, No.2: p323~331
    [37] M.D.Judd, O.Farish, J.S.Pearson. UHF couplers for gas-insulated substations: a calibration technique. IEE Proc. Sci. Meas. Technol, 1997.4, Vol.144, No.3: p117~122
    [38] 张鸣超, 王建生, 邱毓昌. GIS局部放电测量用超高频传感器. 电网技术, 1998.9, Vol.22, No.8: p42~44
    [39] 卢毅, 田新启, 胡晓云. GIS局部放电的动态频谱特性及其在线监测技术. 东南大学学报, 1999.4, Vol.29, No.3: p134~138
    [40] 卢毅. GIS局部放电的非接触在线监测. 高电压技术, 1997.4, Vol.23, No.3: p6~8
    [41] 成永红, 李伟等. 超宽频带局部放电检测技术的初步研究. 西安交通大学学报,1997.12.11,Vol.31, No.11: p19~24
    [42] B.F.Hampton, R.J.Meats, Diagnostic measurements at UHF in gas insulated substations, IEE proc., 1988.3, 135c(2): p137~144
    [43] J.S.Pearson,B.F.Hampton etc. A Continuous UHF Monitor for Gas-insulated Substations. IEEE Transactions on Dielectrics and Electrical Insulation,Vol.26No.3,June 1991,p469~478
    [44] Kurrer R, et al. Antenna theory of flat sensors for partial discharge detection at ultra-high frequencies in GIS, 9th ISH on High Voltage Engineering, Graz, 1995.2: p5615~5619
    [45] 王晓蓉, 杨敏中. 电力设备局部放电测量中抗干扰研究的现状和展望, 电网技术, 2000.6, Vol.24, No.6: p42-45
    [46] 孙才新, 李新, 杨永明. 从白噪声中提取局部放电信号的小波变换方法的研究, 电工技
    
    
    术学报, 1999.6, Vol.14, No.3: p47~50
    [47] 高宁, 朱德恒等. 变压器局部放电在在线监测信号中的电磁干扰及抑制, 电工电能新技术, 1999.4, Vol.26, No.2: p23~27
    [48] H.Bosi, M.Haitje. Application of Rogowski coils for Partial discharge decoupling and noise suppression. Proc. of 5th 2sh, 1978.6, No.4: p202~204
    [49] R Malewski, et al. Insulation diagnostic system for HV power transformer in service. IREQ. CIGRE, 12-01, 1986.3: p605~608
    [50] 孙才新, 罗兵等. 变压器局部放电在线检测中抗电磁干扰的定向耦合差动平衡法的研究,中国电机工程学报, 1998.6, Vol.18, No.5: p46~49
    [51] 宋胜利. 变压器绕组的频率特性及局部放电在线监测小波去干扰技术, 重庆大学硕士学位论文, 2002.7
    [52] 王宏禹. 非平稳随机信号分析与处理, 清华大学出版社, 1995.6
    [53] 戴玲, 文远芳. 变压器局放检测的信号处理技术, 变压器, 2000.12, Vol.37, No.12: p6~9
    [54] 王哲, 蔡惟铮, 陈学永, 王立欣. 阈值曲线法在PD在线监测中的应用, 高电压技术, 1999.3, Vol.25, No.2: p37~39
    [55] 胡昌华, 张军波, 夏军, 张伟. 基于MATLAB的系统分析与设计——小波分析. 西安:西安电子科技大学出版社. 2000.5: p23~28
    [56] V.Nagesh and B.I.Gururaj. Evaluation of digital filters for rejecting discrete spectral interference in on-site PD measurements, IEEE, Transactions on Electrical Insulation, 2000.2, Vol.28, No.1: p31~33
    [57] 楼顺天, 李博菡. 基于MATLAB的系统分析与设计——信号处理, 西安:西安电子科技大学出版社, 2000.5
    [58] 孙才新, 罗兵, 赵文麒. 变压器局放在线监测信号处理的数字滤波技术, 重庆大学学报, 1997.5, Vol.20, No.3: p111~117
    [59] 程佩青. 数字信号处理教程, 北京: 清华大学出版社, 1995.4
    [60] 丁玉美, 阔永红, 高新波. 数字信号处理——时域离散随机信号处理, 西安: 西安电子科技大学出版社, 2002.4
    [61] 张士宝, 林渡等. 局部放电监测中现场干扰的分析和抑制. 清华大学学报, 1997.9, Vol.37, No.38: p107~110
    [62] 孙才新, 顾乐观. 自适应数字滤波器在局部放电在线监测信号处理中应用的研究. 变压器, 1997.7, Vol.34, No.7: p19~23
    [63] Changchang Wang, Xianhe Jin, Cheng, T.C, et al. Analysis and suppression of continuous periodic interference for on-line PD monitoring of power transformers. High Voltage Engineering, 1999. Eleventh International Symposium on (Conf. Publ. No. 467), 1999.5,
    
    
    Vol.5: p212~215
    [64] M.Florkowski. Influence of High Voltage Harmonics on Partial Discharge Parrerns. Proceedings of the 9th international Conference on Properties and Applications of Dielectric Material, 1997: p303~306
    [65] Christ D. Richmond. Performance of the Adaptive Sidelobe Blanker Detection Algorithm in Homogeneous Environments. IEEE TRANSACTIONS ON SIGNAL PROCESSING, MAY 2000.6, Vol.48, No.5: p1235~1247
    [66] Kozako, M. Tian, Z. Okubo, H. et al. Noise reduction and PD measurements using digital filter and signal processing technique in HV substations. Electrical Insulating Materials, 1998. Proceedings of 1998 International Symposium, Sep. 1998: p561~564
    [67] Su, Q. An adaptive filtering method for noise suppression in partial discharge measurements. Electrical Insulation and Dielectric Phenomena, 1993. Annual Report, Conference on, Oct 1993: p481~486
    [68] 王哲, 蔡惟铮, 陈学允. 电力变压器局部放电在线监测中抑制干扰的MAXNET数字滤波技术, 哈尔滨工业大学学报, 1982.12, Vol.30, No.6: p46~49
    [69] 张贤达. 现代信号处理, 北京: 清华大学出版社, 1995.5
    [70] 杨永明, 孙才新等. 抑制局部放电在线监测中周期性干扰的级联式IIR陷波滤波器的研究, 电工技术学报, 2000.5, Vol.15, No.5: p75~77
    [71] 王力欣, 杨春玲等. 基于聚类分析的周期性脉冲干扰的识别, 哈尔滨工业大学学报, 1996.4, Vol.31, No.3: p18~20
    [72] 胡明友, 谢恒等. 基于人工神经网络的绝缘局部放电信号提取方法的研究, 高电压技术, 1999.4, Vol.25, No.2: p35~37
    [73] 王祁, 钟升. 高压变压器局部放电脉冲提取的新方法, 高电压技术, 1996.3, Vol.22, No.1: p50~53
    [74] 李祥飞, 邹莉华, 张泰山. 基于连续小波变换的电力变压器局放信号检测, 高压电器, 2001.6, Vol.37, No.3: p33~35
    [75] 高金峰, 李详飞, 王俊鹍. 小波包算法在电力变压器局放信号检测中的应用, 郑州工业大学学报, 1999.6, Vol.20, No.2: p8~11
    [76] 胡明友, 谢恒, 蒋雄伟, 吴广宁. 基于小波变换提取局部放电脉冲特征的影响因素分析,西安交通大学学报, 1999.4, Vol.33, No.4: p25~30
    [77] 淡文刚, 吕阳, 陈祥训, 郑健超. Bd-小波用于从强电磁干扰中提取局部放电脉冲信号的研究, 电网技术, 2001.1, Vol.25, No.1: p8~12
    [78] 周力行. 变压器局部放电检测中的小波包去噪算法, 高电压技术, 2001.2, Vol.27, No.1: p19~21
    
    [79] Werle P., Akbari A., Borsi H. Gockenbach E, Enhanced online PD evaluation on power transformers using wavelet techniques and frequency rejection filter for noise suppression. Electrical Insulation Conference Record of the 2002 IEEE International Symposium on, 7-10 April 2002: p195~198
    [80] Driesen J, Belmans R. Time-frequency analysis in power measurement using complex wavelets Circuits and Systems. 2002. ISCAS 2002. IEEE International Symposium on, 2002.5, Vol.5: p681~684
    [81] 谢处方,饶克谨, 电磁场与电磁波, 北京, 高等教育出版社, 2000.4
    [82] 吕善伟. 微波工程基础. 北京, 北京航空航天大学出版社, 1995.6
    [83] 吴正娴. 微波原理, 武汉, 武汉大学出版社, 1995.7
    [84] Pompili M, Mazzetti C and Bartnikas R,Simultaneous ultrawide and narrowband detection of PD pulses in dielectric liquids. IEEE Trans. on Diel. and Elect. Insul. 1998.5 (3):p402~407
    [85] 侍海军. 气体绝缘组合电器局部放电内置传感器检测研究. 重庆大学硕士学位论文, 2003.7
    [86] 王昌长, 李福祺. 电气设备的在线监测与故障诊断. 北京:清华大学出版社, 1996.3
    [87] 盛振华. 电磁场微波技术与天线. 西安:西安电子科技大学出版社, 1995.4
    [88] 谢处方,邱文杰. 天线原理与设计. 西北电讯工程学院出版社, 1985.6
    [89] 唐炬, 侍海军, 许高峰等. GIS局部放电两种内置传感器响应特性分析. 高电压技术, 2003.2, Vol.29, No.2:p29~31
    [90] R.Kurrer, K.Feser, The Application of Ultra-High-Frequency Partial Discharge Measurements to GIS-Insulated Substations, IEEE Transaction on Power Delivery, 1998.6, Vol.13, No.3: p777~782
    [91] 成永红, 陈小林, 乐波等. 基于超宽频带局部放电检测技术的大型发电机定子绝缘放电特性研究. 2002.4全国电工测试技术学术交流会:p85~89
    [92] A.G.Sellars, O.Farish etc. Assessing the Risk of Failure duo to Particle Contamination of GIS using the UHF Technique. IEEE Transactions on Dielectrics and Electrical Insulation,Vol.1No.2,April 1994,p323~331
    [93] M.Hikita, H.Yamashita, T.katod et al. Electromagnetic Spectrum Caused by Partial Discharge in Air under ac and dc Voltage Application. Proceedings of the 4th International Conference on Properties and Applications of Dielectric Material July, 1994:p570~573
    [94] 陈顺生. 天线原理, 东南大学出版社. 1989.7
    [95] 易念学. 天线理论与工程讲义. 重庆大学通讯学院, 1998.4
    [96] 刘克成, 宋学诚编著. 天线原理, 国防科技大学出版社, 1996.3
    [97] 王元坤, 李玉权. 线天线的宽频带技术, 西安电子科技大学出版社, 1995.4
    
    [98] 方加云, 郭玉春. 细同轴天线的宽频带技术, 电波科学学报, 2000.6, Vol.15, No.2: p232~234
    [99] 李水根, 吴纪桃编著. 分形与小波, 科学出版社, 2002.3
    [100] Stephane Mallat 著, 杨力,戴道清等译, 信号处理的小波导引, 机械工业出版社, 2002.7
    [101] Stéphane Mallat著, 杨力华, 戴道清等译, 信号处理的小波导引, 机械工业出版社, 2002.6
    [102] J.S.Pearson,O.Farish etc. Partial Discharge Diagnostics for Gas Insulation Substations. IEEE Transactions on Dielectrics and Electrical Insulation,Vol.2No.5,October 1995,p893~905
    [103] 李建平, 田逢春, 曾理编著等, 小波分析与信号处理——理论、应用及软件实现, 重庆出版社, 1997.4
    [104] 陈祥训, 淡文刚, 一种生成双正交紧支复小波的Lifting方法, 中国电机工程学报, 2001.6, Vol.21, No.5: p34~37
    [105] 陈祥训, 正交紧支复小波的生成及其在电力系统的应用, 中国电机工程学报, 2000.8, Vol.20, No.7: p83~88
    [106] 许刚, 复小波在图象编码中的应用, 软件学报, 1999.4, Vol.10, No.3: p293~298
    [107] 曾兴雯, 刘乃安, 陈健著. 高频电路原理与分析, 西安电子科技大学出版社, 2001.5
    [108] 陈振国著. 微波技术基础与应用, 北京邮电大学出版社, 2002.4

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