全相位数字信号处理
|
摘要
针对数字信号处理中普遍存在的因序列截断而引起的性能下降问题,本论文提出多种基于“全相位数字信号处理”的改进方法,这些方法涉及数字滤波、频谱分析、信号重构、统计信号处理等领域。
首先,推导出了任意正交变换下全相位等效FIR滤波器系数的计算通式。并分别用卷积窗频谱函数内插法和循环移位图法推导出了DFT域全相位滤波器的频率响应函数,从而解释了单窗全相位设计法适合于设计频率特性有间断滤波器的原因。并对全相位滤波器的五种等价结构的计算复杂度和灵活性进行了定量分析。
其次,研究了确定信号经全相位预处理后波形和频谱的变化,以及平稳随机信号经全相位预处理后的均值、方差变化。引入了一种新的“偶对称”频率采样模式,基于此模式形成了双相移组合全相位滤波器设计法和基于幅频特性补偿的全相位滤波器设计法。将频率响应屏蔽技术与基于偶对称频率采样的全相位滤波结合起来,解决了原型滤波器和屏蔽滤波器间的交界频带控制问题,并完成了陷波频率点可任意平移的陷波器设计。针对传统离散傅氏重构法的波形失真大和存在Gibbs效应的缺陷,提出了全相位傅氏重构法,并指出全相位傅氏重构和全相位FIR滤波设计实际上是统一的,都反映了全相位方法适合于间断信号处理的本质。
最后,深入研究了全相位FFT谱分析的内在机理,提出并证明了由两个子谱自适应调节全相位FFT谱分析性能的观点。发现了全相位FFT谱分析的四个基本性质,对单频复指数序列的全相位FFT谱幅值和传统FFT谱幅值间的平方关系和“相位不变性”给予了严格证明。详细介绍了多种基于全相位FFT谱分析的频谱校正法,其中以全相位时移相位差法的校正精度最高。将全相位FFT谱分析及其频谱校正法应用到了相位计的设计、微弱信号检测、电力系统谐波分析、雷达测速、激光波长测量等领域。
In order to solve the problem of performance degradation which arises from sequence truncation in many digital signal processing occasions, this dissertation proposes a lot of improved methods based on‘all-phase digital signal processing’, involving the fields of digital filtering, spectrum analysis, signal reconstruction and statistical signal processing etc.
Firstly, the general calculating formula for the coefficients of all-phase equivalent FIR filter under arbitrary orthogonal transform is deduced. And the interpolation method based on convolution-window’s spectrum function and cyclic shift figure method are respectively applied to deduce the frequency response function of all-phase filter in DFT domain, which can interpret the reason that all-phase design method with single window is fit to design those filters with discontinuous frequency character. Moreover, quantitative analysis on the computation complexity and flexibility of all-phase filter’s 5 equivalent structures is given in details.
Secondly, both the changes of determined signal’s waveform & spectrum and the changes of stationary random signal’s mean value & variance after all-phase pre-processing are studied. And a novel‘even symmetric’frequency sampling mode is introduced. By this mode, two kinds of all-phase filter design methods based on double phase-shifting combination and frequency character compensation are respectively proposed. In addition, the technique of frequency response masking and the technique of all-phase filtering based on even symmetric frequency sampling are incorporated, so the problem of controlling boundary frequency bands is solved. Moreover, the notch filter whose notch frequency point can be shifted arbitrarily is successfully designed. To overcome the deficiencies of big waveform distortion and Gibbs effect in conventional discrete Fourier reconstruction, a novel all-phase Fourier reconstruction algorithm is proposed. It is also pointed that the all-phase Fourier reconstruction and all-phase FIR filter design are uniform indeed.Both of them reflect that all-phase method is fit to discontinuous signal’s processing.
Lastly, the mechanism of all-phase FFT (apFFT) spectrum analysis is deeply studied. The viewpoint that 2 sub-spectrums can adaptively adjust the performance of apFFT’s spectrum is proposed and proved. Four basic properties of apFFT spectrum analysis are discovered, among which the property of square relation between the apFFT spectrum amplitude and the conventional FFT spectrum amplitude for single-frequency complex exponential sequence as well as the property of‘phase invariant’are strictly proved. Several correcting spectrum methods based on apFFT are expatiated, among which all-phase time-shifting phase difference correcting method has the highest precision. This paper also applies apFFT and the corresponding correcting spectrum methods into many aspects such as phase meter design, feeble signal detection, harmonic analysis of power system, radar velocity measuring,laser wavelength measuring etc.
首先,推导出了任意正交变换下全相位等效FIR滤波器系数的计算通式。并分别用卷积窗频谱函数内插法和循环移位图法推导出了DFT域全相位滤波器的频率响应函数,从而解释了单窗全相位设计法适合于设计频率特性有间断滤波器的原因。并对全相位滤波器的五种等价结构的计算复杂度和灵活性进行了定量分析。
其次,研究了确定信号经全相位预处理后波形和频谱的变化,以及平稳随机信号经全相位预处理后的均值、方差变化。引入了一种新的“偶对称”频率采样模式,基于此模式形成了双相移组合全相位滤波器设计法和基于幅频特性补偿的全相位滤波器设计法。将频率响应屏蔽技术与基于偶对称频率采样的全相位滤波结合起来,解决了原型滤波器和屏蔽滤波器间的交界频带控制问题,并完成了陷波频率点可任意平移的陷波器设计。针对传统离散傅氏重构法的波形失真大和存在Gibbs效应的缺陷,提出了全相位傅氏重构法,并指出全相位傅氏重构和全相位FIR滤波设计实际上是统一的,都反映了全相位方法适合于间断信号处理的本质。
最后,深入研究了全相位FFT谱分析的内在机理,提出并证明了由两个子谱自适应调节全相位FFT谱分析性能的观点。发现了全相位FFT谱分析的四个基本性质,对单频复指数序列的全相位FFT谱幅值和传统FFT谱幅值间的平方关系和“相位不变性”给予了严格证明。详细介绍了多种基于全相位FFT谱分析的频谱校正法,其中以全相位时移相位差法的校正精度最高。将全相位FFT谱分析及其频谱校正法应用到了相位计的设计、微弱信号检测、电力系统谐波分析、雷达测速、激光波长测量等领域。
In order to solve the problem of performance degradation which arises from sequence truncation in many digital signal processing occasions, this dissertation proposes a lot of improved methods based on‘all-phase digital signal processing’, involving the fields of digital filtering, spectrum analysis, signal reconstruction and statistical signal processing etc.
Firstly, the general calculating formula for the coefficients of all-phase equivalent FIR filter under arbitrary orthogonal transform is deduced. And the interpolation method based on convolution-window’s spectrum function and cyclic shift figure method are respectively applied to deduce the frequency response function of all-phase filter in DFT domain, which can interpret the reason that all-phase design method with single window is fit to design those filters with discontinuous frequency character. Moreover, quantitative analysis on the computation complexity and flexibility of all-phase filter’s 5 equivalent structures is given in details.
Secondly, both the changes of determined signal’s waveform & spectrum and the changes of stationary random signal’s mean value & variance after all-phase pre-processing are studied. And a novel‘even symmetric’frequency sampling mode is introduced. By this mode, two kinds of all-phase filter design methods based on double phase-shifting combination and frequency character compensation are respectively proposed. In addition, the technique of frequency response masking and the technique of all-phase filtering based on even symmetric frequency sampling are incorporated, so the problem of controlling boundary frequency bands is solved. Moreover, the notch filter whose notch frequency point can be shifted arbitrarily is successfully designed. To overcome the deficiencies of big waveform distortion and Gibbs effect in conventional discrete Fourier reconstruction, a novel all-phase Fourier reconstruction algorithm is proposed. It is also pointed that the all-phase Fourier reconstruction and all-phase FIR filter design are uniform indeed.Both of them reflect that all-phase method is fit to discontinuous signal’s processing.
Lastly, the mechanism of all-phase FFT (apFFT) spectrum analysis is deeply studied. The viewpoint that 2 sub-spectrums can adaptively adjust the performance of apFFT’s spectrum is proposed and proved. Four basic properties of apFFT spectrum analysis are discovered, among which the property of square relation between the apFFT spectrum amplitude and the conventional FFT spectrum amplitude for single-frequency complex exponential sequence as well as the property of‘phase invariant’are strictly proved. Several correcting spectrum methods based on apFFT are expatiated, among which all-phase time-shifting phase difference correcting method has the highest precision. This paper also applies apFFT and the corresponding correcting spectrum methods into many aspects such as phase meter design, feeble signal detection, harmonic analysis of power system, radar velocity measuring,laser wavelength measuring etc.
引文
[1] Saramaki T. A class of window functions with nearly minimum sidelobe energy for designing FIR filters[C]. IEEE International Symposium on Circuits and Systems, 1989, 8-11 May: 359 - 362
[2] CDl1172-3,Coding of moving picture and associated audio for digital storage media at up to about 1.5 M BIT/s(Part 3 AUDIO)[s]
[3] H.S. Malvar, D.H. Staelin. The LOT: Transform Coding without Block Effects[J].IEEE Transactions on Signal Processing,1989,37(4):553 - 559
[4] H.S.Malvar. Biorthogonal And Nonuniform Lapped Transforms for TransformCoding with Reduced Blocking And Ringing Artifacts[J].IEEE Transactions on Signal Processing,1998,46(4):1053 - 1053
[5] 王兆华,H.Amiri[J].用二维重叠数字滤波器再生亚 Nyquist 取样信号.天津大学学报,1983,(1):47 - 64
[6] 王兆华,李乐俊.二维内插模板的重叠序谱分析[J].信号处理,1985,1(2):103- 108
[7] 侯正信.三种二维重叠数字滤波器的构造[J].天津大学学报,1985,(1):29 - 49
[8] 王兆华.二维列率重叠数字滤波器[J].电子学报,1985,13(6):13-18
[9] 王兆华,H.Amiri.二维低通重叠数字滤波器的研究[J].通信学报,1986,1(6):84-88
[10] 王兆华.亚 Nyquist 取样 PAL 信号的二维重构[J].通信学报,1987,8(1):93-97
[11] 王兆华.二维抽取和内插[J].信号处理,1987,3(4):215-221
[12] 王兆华.立体数字信息的压缩和重构[J].电子学报,1988,16(4):40-46
[13] 王兆华.图像放大的内插模板[J].电视技术,1988,(4):2-7
[14] Wang Zhaohua. Two-dimentional Decimation and Interpolation [J].ntzArchiv, Bd.1988, H8 :201-204
[15] Wang Zhaohua.Overlapping Dyadic Drift.IEEE National Symposium on EMC,1989:252-257
[16] 王兆华,王金刚.三维数据的 1/3 抽取和内插[J].模式识别开放研究实验室年报,1990,(2):228-232
[17] 王兆华.重叠并元卷积[J].信号处理,1994,10(1):29-35
[18] 王兆华.计算机图像处理方法[M].宇航出版社,1993,6
[19] 侯正信.离散余弦列率滤波器的设计和应用[J].天津大学学报,1999,32(3):324-328
[20] 侯正信.离散余弦列率滤波器的卷积算法 [J].信号处理, 1999,Vol(15):128-131
[21] 王兆华,曹继华,韩萍.FOUREIER 重叠数字滤波器[J].信号处理,2001,17(2):189-191
[22] 侯正信.全相位列率滤波器的设计和实现[J].信号处理,2001 增刊,Vol(17):132-135
[23] 王兆华.一种频域自适应滤波器,实用新型发明专利,ZL02205818.4,2003 年 1 月 8 日公告
[24] 王兆华,侯正信 .一种带窗的频域滤波器 ,实用新型发明专利,ZL03244872.4,2003 年 4 月 11 日申请
[25] 王兆华,侯正信.全相位 FFT 频谱分析装置,实用新型发明专利,200420028959.8,申请日:2004 年 5 月 12 日
[26] 侯正信,王兆华,杨喜.全相位 DFT 数字滤波器的设计和实现[J].电子学报,2003,31(4):539-543
[27] 王兆华,侯正信,苏飞.全相位数字滤波[J].信号处理,2003,Vol(19):1-4(增刊)
[28] 苏飞,王兆华.一种新结构频率域重叠数字滤波器[J].电路和系统学报,2004,9(1):46-49
[29] 苏飞,王兆华.DFT 域全相位 FIR 滤波器设计和实现[J].信号处理,2004,20(4):231-235
[30] 侯正信,杨喜,陈妮妮.全相位 DFT 数字滤波器的一种新结构设计和实现[J].信号处理,2004,20(4):272-276
[31] 苏飞,王兆华.DCT 域全相位 FIR 滤波器设计和实现[J].天津大学学报,2004,37(12):1110-1114
[32] 王兆华,候正信,苏飞.全相位 FFT 频谱分析[J].通信学报,2003,24(11A):6-19
[33] 苏飞,王兆华.全相位 FIR 滤波器及其频谱分析中的应用[J].数据采集和处理,2004,19(1):p61-66.( EI:04298268959)
[34] 苏飞,王兆华.基于带双窗域重叠频域 FIR 的自适应去噪[J].电子测量和仪器学报, 2004,18(4):539-543
[35] 苏飞,王兆华.一种新的带窗重叠自适应滤波器[J].电子与信息学报,2005,27(1):27-30
[36] 苏飞,王兆华.基于变换域全相位 FIR 自适应滤波算法[J].电子学报,2004,32(11):1859-1864
[37] 苏飞.带窗全相位数字滤波器设计和应用[D].天津大学博士生论文,2004.1
[38] 苏飞,王兆华.二维 Fourier 带窗内扦模板的设计[J].中国图像图形学报,2004,9(4):439-444
[39] 苏飞,王兆华.基于矩形窗二义分解的窗函数设计[J].天津大学学报, 2004,20(4):1-4. (EI:04488687200)
[40] 徐妮妮.全相位 FIR 滤波器组[J].天津大学博士学位论文,2005,1
[41] 徐妮妮,侯正信.全相位半带滤波器及其应用[J].天津大学学报,2005,38(3):206-211
[42] 侯正信,郭旭静,杨喜.基于全相位 IDCT 滤波器的内插重采样分层编码技术[J].电子与信息学报,2005,27(6):865-869
[43] 郭旭静.方向性图像表示及去噪算法的研究[D].天津大学博士学位论文,2005,12
[44] Lee J B, Lee B G. Transform domain filtering based on pipelining structure[J]. IEEE Transactions on Signal Processing, 1992, 40(8):2061- 2064
[45] Schoukens J., Rolain Y., Pintelon R., Improved frequency response function measurements for random noise excitations, IEEE Transactions on Instrumentation and Measurement,998,47(1):322– 326
[46] 黄翔东,王兆华.任意正交变换下的全相位等效 FIR 滤波器的构造[J].天津大学学报,2006,39(9):1120-1125
[47] Akay O., Boudreaux-Bartels, G.F., Unitary and Hermitian fractional operators and their relation to the fractional Fourier transform[J]. IEEE Transactions on Signal Processing Letters, 1998, 5(12):312 -314
[48] Maqusi M, Correlation and spectral analysis of nonlinear transformations of sequency-band-limited signals[J].IEEE Transactions on Acoustics, Speech, and Signal Processing,1982, 30(3):513-516
[49] Schwartz M., Etzion T., The structure of single-track Gray codes, IEEE Transactions on Information Theory, 1999, 45(7):2383 – 2396
[50] A.V. Oppenheim and R.W.Schafer, Discrete-Time Signal Processing [M].Englewood CliKs, NJ, Prentice Hall, 1989
[51] 陈怀琛.数字信号处理教程—MATLAB 释义与实现[M].北京:电子工业出版社,2004:212-213
[52] Stubberud P.A., Leondes, C.T., A frequency sampling filter design method which accounts for finite word length effects, IEEE Transactions on Signal Processing:189 -193
[53] 黄翔东,王兆华.一种设计频率特性有间断滤波器的新方法[J].天津大学学报,2006,39(5):614-620
[54] Bhattacharya D, Antoniou A. Real-time design of FIR filters by feedback neural networks[J]. IEEE Trans. on Signal Processing Letters, 1996, 5(3):158 -161
[55] Hui Zhao, Jue bang Yu.A novel neural network-based approach for designing digital filters[C]. IEEE International Symposium on Circuits and Systems, June, 1997, 4: 2272 - 2275
[56] Mestari M., An analog neural network implementation in fixed time of adjustable-order statistic filters and applications, IEEE Transactions on Neural Networks, 2004,15(3): 766 - 785
[57] Liu Yang Shao Shiquan, An application of genetic algorithms with guiding strategy in the design of digital filter, June,2005, 2004 International Conference on Communications, Circuits and Systems, vol 2:1141-1145
[58] 陈小平,于盛林.遗传算法在FIR滤波器设计-频率样法中的应用[J].电子学报,2000,10(28):118-120
[59] Jinn-Tsong Tsai, Jyh-Horng Chou, Optimal design of digital IIR filters by using hybrid taguchi genetic algorithm, IEEE Transactions on Industrial Electronics, 2006,53(3):867-879
[60] Jovanovic-Dolecek G,Dolec ek V.Method for narrowband minimum phasefilter design[J].The American Journal of Electronics Letters,2001,37(3):324-325
[61] R E Crochiere, L R Rabiner. A Program for Multistage Decimation, Interpolation and Narrow-Band Filtering in Program for Digital Signal Processing[M].New York: IEEE Press,1979, 3-14
[62] Ahn, S., Eigenvalues of a matrix inside an ellipse and Chebyshev filter, IEEE Transactions on Automatic Control,1979,24(6):986 - 987
[63] Won Y.K., Park R.-H, Variable LMS algorithms using the time constant concept, IEEE Transactions on Consumer Electronics,1994,40(3): 655 – 661
[64] Wang Zengping, Ma Jing. A New Principle of Discrimination between Inrush Current and Internal Fault Current of Transformer Based on Self-Correction Function[C].The 7th International Power Engineering Conference ( IPEC 2005), Nov., 2005:1-4
[65] Li Yinfeng,Zhang Man.An effective lossless compression algorithm for medical image set based on denoise improved MMP method[C]. Proceedings of the 46th IEEE International Midwest Symposium on Circuits and Systems, Dec., 2003: 463-466
[66] Tanasa D, Trousse B. Data preprocessing for WUM[J].Potentials IEEE, 23(3):22 -25
[67] Boche, H., Behavior of discrete-time linear systems of infinite order, The 6th IEEE Conference on Electronics, Circuits and Systems, Sept. 1999, Volume 2:1115-1118
[68] Pintelon R., Schoukens J., Time series analysis in the frequency domain, IEEE Transactions on Signal Processing:1999,47(1): 206 - 210
[69] Yuan-Pei Lin, Yung-Yih Ban. Windowed multicarrier systems with minimum spectral leakage, IEEE International Conference on Acoustics, Speech, and Signal Processing, May 2004, Vol.4:749-752
[70] Mathews V., Youn D., Spectral leakage suppression properties of linear and Quadratic windowing, IEEE Transactions on Acoustics, Speech, and Signal Processing,1984,32(5): 1092 - 1095
[71] Proakis, John G. Algorithms for statistical signal processing [M]. Prentice Hall, c2002
[72] V.A. Gholkar. Mean Square Convergence Analysis of LMS Algorithm [Adaptive Filters].Electronics Letters,1990,26(20):1705-1706
[73] C.Caraiscos, Liu Bede. A Round off Error Analysis of The LMS Adaptive Algorithm.IEEE Trans.on Signal Processing,1984,32(1): 34-41
[74] S.Karn, G.Zeng. The Analysis of The Continuous-Time LMS Algorithm. IEEE Trans. on Signal Processing, 1989, 37(4):595-597
[75] 黄翔东,王兆华.基于系数查找表的全相位 FIR 自适应陷波器[J].电子测量与仪器学报,2006,20(3),80-84
[76] Guo J, Zou J, Zhang B, He J. L,Guan Z.C., An Interpolation Model to Accelerate the Frequency-Domain Response Calculation of Grounding Systems Using the Method of Moments[J], IEEE Transactions on Power Delivery, 2006,21(1):121-128
[77] Al-Nashi H., Phase unwrapping of digital signals[J], IEEE Transactions on Acoustics, Speech, and Signal Processing, 1989, 37(11):1693 -1702
[78] O'Meara, T., The Symmetrical Transfer Characteristics of the Narrow- Bandwidth Four-Crystal Lattice Filter[J]. IRE Transactions on Component Parts,1958,5(2):84-89
[79] Jun Won Choi, Nam Ik Cho. Narrow-band interference suppression in direct sequence spread spectrum systems using a lattice Fir notch filter [J]. Acoustics, Speech, and Signal Processing, 2001,vol.4:2237- 2240
[80] Kotaro Hirano, Shotard Nishimura. Design of Digital Notch Filters[J]. IEEE Trans. on Commun,1974,vol.22:964-970
[81] Pavel Zahradník. Fast Analytical Design Algorithms for FIR Notch Filters[J]. IEEE Trans on Circuits and systems, 2004, 51(3):608- 611
[82] X.P. Lai. Constrained Chebyshev Design of FIR Filters[J].IEEE Trans. on Circuits and Systems-II, 2004, 51(3):143-146
[83] Chen Xiaoping, Qu Bo, Lu Gang. An application of immune algorithm in FIR filter design[J]. Proceedings of the 2003 International Conference on Neural Networks and Signal Processing,Nanjing,china, Dec,2003,Vol.1:473- 475
[84] Zahradnik, P., Vlcek, M., An analytical procedure for critical frequency tuningFIR filters[J], IEEE Transactions on Circuits and Systems II: Express Briefs,2006,53(1):72-76
[85] Proakis J.G., Manolakis D.G. Digital Signal Processing: Principles, Algorithms and Applications [M]. Macmillan, New York, NY, third edition, 1996
[86] Rykaczewski P., Pienkowski D., Signal path optimization in software-defined radio systems[J]. IEEE Transactions on Microwave Theory and Techniques,2005,53(3),Part2: 1056 - 1064
[87] 张玉良,吴伟陵,田宝玉.宽带数字下变频器的一种新的实现结构[J].电路与统学报,2003,8(4):95 - 99
[88] Tongwen Chen, Li Qiu, Er-Wei Bai, General multirate building structures with application to nonuniform filter banks[J]. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing,1998,45(8): 948 - 958
[89] Sarkar S, Poor H.V., Multirate signal processing on finite fields[J].IEEE Proceedings of Vision, Image and Signal Processing,148(4),2001:254 - 262
[90] Abu-Al-Saud W.A., Stuber G.L., Efficient sample rate conversion for software radio systems[J]. IEEE Transactions on Signal Processing, 2006,54(3):932 - 939
[91] Y.C.Lim. Frequency-response masking approach for the synthesis of sharp linear phase digital filters[J].IEEE Transactions on Circuits and System, 1986, CAS-33(4):357 - 364
[92] Charng-Kann Chen, Ju-Hong Lee. Design of sharp-cutoff FIR digital filters with prescribed constant group delay[J]. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1996, 43(1):1 - 13
[93] Wu-Sheng Lu, Hinamoto T., Optimal design of frequency- response masking filters using semidefinite programming[J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications,2003, 50(4):557- 568
[94] Yong Lian. A new frequency-response masking structure with reduced complexity for FIR filter design[C]. The 2001 IEEE International Symposium on Circuits and Systems(ISCAS 2001), Sydney, May, 2001,vol.2: 609 - 612
[95] Yong Ching Lim, Ya Jun Yu, Saramaki T., Optimum masking levels and coefficient sparseness for Hilbert transformers and half-band filters designed using the frequency-response masking technique [J]. IEEE Transactions on Circuits and Systems I: Regular Papers, 2005, 52(11): 2444 - 2453
[96] 张玉良,吴伟陵,田宝玉.基于 FRM 结构的 FIR 滤波器的采样率变换方法[J].电子与信息学报,2003,25(8):1021 - 1028
[97] WAN G, HAN W M. Minimum error bound of signal reconstruction[J]. IEEE Transactions on Signal Processing Letters, 1999, 6(2): 309-311
[98] W. Pennebaker, J. Mitchell. JPEG Still Image Data Compression Standard[M]. New York: Van No strand, 1993
[99] ISO/IEC 13818-2.Generic coding of moving pictures and associated audio information: video,1996
[100] S.Mallat. A theory for multiresolution signal decomposition: The wavelet representation[J].IEEE Trans. Part. Ana1. and Machine intel1.,1989,11(2):674-693
[101] Ford C., Etter D.M..Wavelet basis reconstruction of nonuniformly sampled data, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1998, 45(8): 1165-1168
[102] ISO/IEC, ISO/IEC FCD 15444-1: Information technology JPEG2000 image coding system-part I:core coding system, March 16, 2000, http://www.jpeg.org
[103] A. Cohen, I. Daubechies, J.-C. Feaveau. Biorthogonal bases of compactly supported wavelets. Communications on Pure and Applied Mathematics, 1992, 45:485- 560
[104] Elbaz M., Abraham Z., Rubinstein J., Zeevi Y., Signal and image reconstruction from partial Fourier phase[C]. Proceedings of the 12th IAPR International Conference on Pattern Recognition - Conference C: Signal Processing, Jerusalem, October, 1994, vol.3: 82- 87
[105] Porat M., Shachor G.. Signal representation in the combined phase-spatial space: reconstruction and criteria for uniqueness[J]. IEEE Transactions on Signal Processing, 1999, 47(6):1701- 1707
[106] CHEN P. Gibbs Phenomenon Removal and Digital Filtering Directly through the Fast Fourier Transform[J]. IEEE Transactions on Signal Processing, 2001, 49(2):444- 449
[107] 潘文杰.傅立叶分析及其应用[M].北京:北京大学出版社,2000,48-49
[108] 塞缪尔(美)著,高顺泉译.数字信号分析[M].北京:人民邮电出版社,1983,24-25
[109] CHANG P S, HUNG Y M, LIANG L T. Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform[C]. IEEE Transactions on Signal Processing, 1999, 2883- 2888
[110] A. V. Oppenheim, R. W. Schafer. Digital Signal Processing[M]. Englewood Cliffs, NJ: Prentice-Hall, 1975
[111] Parks T., Signal processing: Discrete spectral analysis, detection, and estimation[J]. IEEE Transactions on Acoustics, Speech, and Signal Processing, 1976, 24(2):197- 197
[112] Sanjit K. Mitra 著 , 孙 洪 等 译 .Digital Signal Processing— A computer-Based Approach, second Edition[M]. Beijing, Publishing House of Electronics Industry, 2005: 99-109
[113] Gough PT., A fast spectral estimation algorithm based on the FFT [J]. IEEE Transactions on Signal Processing, 1994, 42(6):1317-1322
[114] Jacobsen S., Statistics of Leakage-Influenced Squared Coherence Estimated by Bartlett's and Welch's Procedures[J].IEEE Transactions on Signal Processing, 1993 , 41(1), 267-277
[115] Ayhan B, Mo-Yuen Chow, Trussell H J, Myung-Hyun Song. A case study on the comparison of non-parametric spectrum methods for broken rotor bar fault detection[C]. Industrial Electronics Society, 2003. IECON '03. The 29th Annual Conference of the IEEE, Nov.2003, 3(2-6):2835 -2840
[116] Lobos T, Leonowicz Z., Rezmer J, Schegner P., High-resolution spectrum-estimation methods for signal analysis in power systems[J]. IEEE Transactions on Instrumentation and Measurement, 2006, 55(1): 219-225
[117] Wear K A, Wagner R F, Garra BS. A comparison of autoregressive spectral estimation algorithms and order determination methods in ultrasonic tissue characterization[J]. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 1995, 42(4):709 -716
[118] Harris F.J., On the use of windows for harmonic analysis with the discrete Fourier transform[J]. Proceedings of the IEEE, 1978, 66(1): 51- 83
[119] Lanczos, C. Discourse on Fourier Series, Chapter 1[M]. Hafner Publishing Co., Newyork, 1966:7-47
[120] Jain V.K., Collins W. L., Davis D. C., High-accuracy analog measurements via interpolated FFT [J]. IEEE Trans. on Instrum Meas., 1979, 28(6):113-122
[121] Grandke T. Interpolating Algorithms for Discrete Fourier Transforms of Weighted signal. IEEE Transactions on Instrum. Meas., 1983, 13(2): 350-355
[122] 张伏生,耿中行,葛耀中.电力系统谐波分析的高精度FFT算法.中国电机工程学报,1999,19(3):50-54
[123] 丁康,谢明.离散频谱三点卷积幅值校正法的误差分析[J].振动工程学报,1996,9(1):92 - 98
[124] Xie Ming, Dins Kang. Correction For the Frequency, Amplitude and phase in FFF of Harmonic signal [J]. Mechanical Systems and Signal Processing, 1996, 10(20): 211 - 221
[125] 丁康,江利旗.离散频谱的能量重心校正法[J].振动工程学报,2001,14(3):354 – 359
[126] 刘渝.正弦波频率快速估计方法[J].数据采集与处理,1998,13(1):8 – 11
[127] 刘渝.快速高精度正弦波频率估计综合方法[J].电子学报,1999,27(6):126– 128
[128] 谢明,张晓飞,丁康.频谱分析中用于相位和频率校正的相位差较正法[J].振动工程学报,1999,12(4):454 - 459
[129] 丁康,罗江凯,谢明.离散频谱时移相位差校正法[J].应用数学和力学,2002,23(7):729-735
[130] 齐国清,贾欣乐.基于DFT的正弦波频率和初相的高精度估计方法[J].电子学报,29(9):1164-1167
[131] 刘进明,应怀樵.FFT谱连续细化分析的傅立叶变换法[J].振动工程学报,1995,18(2):162 -166
[132] Soo-chang Pei, Chien-Cheng Tseng. Adaptive IIR Notch Filter Based on Least Mean p-Power Error Criterion[J].IEEE Transactions on Circuits and Systems-II: Analog and Digital Signal Processing, 1993, 40(8): 525-528
[133] 朱晓勇,丁康.离散频谱校正法的综合比较[J].信号处理,2001,17(1):91-97
[134] 裴亮,李晶,郭发东,刘雷,胡军锋.电力系统谐波分析中Hanning窗插值算法的应用[J].山东科学,2005,18(5):76-79
[135] 徐志钮,律方成,赵丽娟.基于加汉宁窗插值的谐波分析法用于介损角测量的分析[J].电力系统自动化,2006,30(2):81- 85
[136] Theagenis J Abatzoglou., A fast maximum likelihood algorithm for frequency estimation of a sinusoid based on Newton’s method[J]. IEEE Transactions on Acoustics, Speech and Signal Processing, 1985, 33(1):77-89
[137] 徐钟济.蒙特卡罗方法[M].上海:上海科学技术出版社,1985,6
[138] Andria G., Savino M., Windows and Interpolation Algorithms to Improve Electrical Measurement Accuracy[J]. IEEE Transactions on Instrumentation and Measurement, 1989, 38(4):856 – 863
[139] 科技日报.2006年9月13日
[140] 江亚群,何怡刚.基于加窗DFT的相位差高精度测量算法[J].电路与系统学报,10(2):112-116
[141] 刘慧强,于殿泓,王玉峰,刘芸,乔闹生.利用快速傅立叶变换分析PMP相移机构的相移误差[J].西安理工大学学报,2006,22(1):85-88
[142] 胡雪梅,孙旭松.电力系统谐波的产生和危害[J].西安航空技术高等专科学校学报,2006,24(1):6-8
[143] 潘文,钱俞寿,周鹗.基于加窗插值FFT的电力谐波测量理论一窗函数研究[J].电工技术学报,1994,(1):50-54
[144] 赵文春,马伟明,胡安.电机测试中谐波分析的高精度FFT算法[J].中国电机工程学报,2001,21(12):83-92
[145] RifeD G, VincentG A. Use of the discrete Fourier Transform in the measurement of levels and tones[J]. Bell Syst. Tech.J., 1970, 49(2): l97-228
[146] 刘 敏,王克英.基于加窗双峰谱线插值的高精度FFT谐波分析[J].电测与仪表,2006,43(3):112-116
[147] Rifai M. R., Ortmeyer T. H., McQuillan W. J., Evaluation of current inter-harmonics from AC drives[J]. IEEE Transaction on Power Delivery, 2000, 150):1094-1098
[148] 赵秀山,谈克雄,朱德恒等.介质损耗角的数字化测量[J].清华大学学报(自然科学版),1996,36(9):51-53
[149] 王楠,律方成,梁英等.基于高精度DFT的介损数字测量方法.高电压技术,2003,29(4):3-5
[150] 尚勇,杨敏中,王晓蓉等.谐波分析法介质损耗因数测量的误差分析.电工技术学报,2002,17(3):67-71
[151] 邢晓异,仲新莉. FSK信号检测的高分辨率实现方法[J].华东交通大学学报,2000,17(3):47-51
[152] 王庆,孟宪德.车载FSK信号的实时高精度检测与DSP实现[J].通信学报,2001,22(9) :78-83
[153] 杨轶桢,马瑞军,魏学业.时频分布在FSK信号解调中的应用研究[J].铁道学报,2006,28(2):95-99
[154] Yu Renjun, Tan Eng Chong. Spectrogram Analysis of Genome Small Patterns Using Pseudo Smoothed Wigner-Ville Distribution[C].2005 Fifth International Conference on Information, Communications and Signal Processing, 06-09 Dec.2005: 1044 - 1047
[155] Yu R , OzkaramanliH. Hilbert transform pairs of biorthogonal wavelet bases[J]. IEEE Transactions on Signal Processing, 2006, 54(6), 2119 - 212
[156] Yih-Chyun Jenq. Direct digital synthesizer with jittered clock[J]. IEEE Transactions on Instrumentation and Measurement, 1997, 46(3):653 - 65
[157] Marques P.A.C. Dias J.M.B. Velocity estimation of fast moving targets using a Single SAR sensor[J]. IEEE Transactions on Aerospace and Electronic Systems, 2005, 41(1):75 - 89
[158] Qinghui Liu,Tsuruta S. New method of measuring phase characteristics of antenna using Doppler frequency measurement technique[J].IEEE Transactions on Antennas and Propagation, 2004, 52(12):3312-3318
[159] 曹延伟,张昆帆等.一种稳健的离散频谱校正方法[J].电子与信息学报,27(9):1353-1356
[160] 李世祥.光电对抗技术[M].长沙:国防科技大学出版社,2000:102 –113
[161] Hernandez-Cordero J., Kozlov V.A., Morse T.F., Highly accurate method for single-mode fiber laser wavelength measurement[J], IEEE Photonics Technology Letters,2002,14(1): 83 - 85
[162] 程玉宝,王炳健,刘上乾. 一种提高激光波长测量精度的改进算法[J].光子学报,2003,32(9):1041-1044
[163] 程玉宝,周慧鑫,刘上乾.一种激光探测与波长测定装置的研究[J].光电工程,2002,29(6):25 - 27
[164] 谢蕾,李季,陈结祥,戚俊,黄正英.基于FFT的激光测距数字相位计的实现[J].量子电子学报,2003,20(1):85-89
[165] 谢春健,郭陈江,马瑞峰,杨琳.基于 RLS 算法的直接序列扩频抗窄带干扰技术[J].无线通信技术,2005,14(3):10-13
[2] CDl1172-3,Coding of moving picture and associated audio for digital storage media at up to about 1.5 M BIT/s(Part 3 AUDIO)[s]
[3] H.S. Malvar, D.H. Staelin. The LOT: Transform Coding without Block Effects[J].IEEE Transactions on Signal Processing,1989,37(4):553 - 559
[4] H.S.Malvar. Biorthogonal And Nonuniform Lapped Transforms for TransformCoding with Reduced Blocking And Ringing Artifacts[J].IEEE Transactions on Signal Processing,1998,46(4):1053 - 1053
[5] 王兆华,H.Amiri[J].用二维重叠数字滤波器再生亚 Nyquist 取样信号.天津大学学报,1983,(1):47 - 64
[6] 王兆华,李乐俊.二维内插模板的重叠序谱分析[J].信号处理,1985,1(2):103- 108
[7] 侯正信.三种二维重叠数字滤波器的构造[J].天津大学学报,1985,(1):29 - 49
[8] 王兆华.二维列率重叠数字滤波器[J].电子学报,1985,13(6):13-18
[9] 王兆华,H.Amiri.二维低通重叠数字滤波器的研究[J].通信学报,1986,1(6):84-88
[10] 王兆华.亚 Nyquist 取样 PAL 信号的二维重构[J].通信学报,1987,8(1):93-97
[11] 王兆华.二维抽取和内插[J].信号处理,1987,3(4):215-221
[12] 王兆华.立体数字信息的压缩和重构[J].电子学报,1988,16(4):40-46
[13] 王兆华.图像放大的内插模板[J].电视技术,1988,(4):2-7
[14] Wang Zhaohua. Two-dimentional Decimation and Interpolation [J].ntzArchiv, Bd.1988, H8 :201-204
[15] Wang Zhaohua.Overlapping Dyadic Drift.IEEE National Symposium on EMC,1989:252-257
[16] 王兆华,王金刚.三维数据的 1/3 抽取和内插[J].模式识别开放研究实验室年报,1990,(2):228-232
[17] 王兆华.重叠并元卷积[J].信号处理,1994,10(1):29-35
[18] 王兆华.计算机图像处理方法[M].宇航出版社,1993,6
[19] 侯正信.离散余弦列率滤波器的设计和应用[J].天津大学学报,1999,32(3):324-328
[20] 侯正信.离散余弦列率滤波器的卷积算法 [J].信号处理, 1999,Vol(15):128-131
[21] 王兆华,曹继华,韩萍.FOUREIER 重叠数字滤波器[J].信号处理,2001,17(2):189-191
[22] 侯正信.全相位列率滤波器的设计和实现[J].信号处理,2001 增刊,Vol(17):132-135
[23] 王兆华.一种频域自适应滤波器,实用新型发明专利,ZL02205818.4,2003 年 1 月 8 日公告
[24] 王兆华,侯正信 .一种带窗的频域滤波器 ,实用新型发明专利,ZL03244872.4,2003 年 4 月 11 日申请
[25] 王兆华,侯正信.全相位 FFT 频谱分析装置,实用新型发明专利,200420028959.8,申请日:2004 年 5 月 12 日
[26] 侯正信,王兆华,杨喜.全相位 DFT 数字滤波器的设计和实现[J].电子学报,2003,31(4):539-543
[27] 王兆华,侯正信,苏飞.全相位数字滤波[J].信号处理,2003,Vol(19):1-4(增刊)
[28] 苏飞,王兆华.一种新结构频率域重叠数字滤波器[J].电路和系统学报,2004,9(1):46-49
[29] 苏飞,王兆华.DFT 域全相位 FIR 滤波器设计和实现[J].信号处理,2004,20(4):231-235
[30] 侯正信,杨喜,陈妮妮.全相位 DFT 数字滤波器的一种新结构设计和实现[J].信号处理,2004,20(4):272-276
[31] 苏飞,王兆华.DCT 域全相位 FIR 滤波器设计和实现[J].天津大学学报,2004,37(12):1110-1114
[32] 王兆华,候正信,苏飞.全相位 FFT 频谱分析[J].通信学报,2003,24(11A):6-19
[33] 苏飞,王兆华.全相位 FIR 滤波器及其频谱分析中的应用[J].数据采集和处理,2004,19(1):p61-66.( EI:04298268959)
[34] 苏飞,王兆华.基于带双窗域重叠频域 FIR 的自适应去噪[J].电子测量和仪器学报, 2004,18(4):539-543
[35] 苏飞,王兆华.一种新的带窗重叠自适应滤波器[J].电子与信息学报,2005,27(1):27-30
[36] 苏飞,王兆华.基于变换域全相位 FIR 自适应滤波算法[J].电子学报,2004,32(11):1859-1864
[37] 苏飞.带窗全相位数字滤波器设计和应用[D].天津大学博士生论文,2004.1
[38] 苏飞,王兆华.二维 Fourier 带窗内扦模板的设计[J].中国图像图形学报,2004,9(4):439-444
[39] 苏飞,王兆华.基于矩形窗二义分解的窗函数设计[J].天津大学学报, 2004,20(4):1-4. (EI:04488687200)
[40] 徐妮妮.全相位 FIR 滤波器组[J].天津大学博士学位论文,2005,1
[41] 徐妮妮,侯正信.全相位半带滤波器及其应用[J].天津大学学报,2005,38(3):206-211
[42] 侯正信,郭旭静,杨喜.基于全相位 IDCT 滤波器的内插重采样分层编码技术[J].电子与信息学报,2005,27(6):865-869
[43] 郭旭静.方向性图像表示及去噪算法的研究[D].天津大学博士学位论文,2005,12
[44] Lee J B, Lee B G. Transform domain filtering based on pipelining structure[J]. IEEE Transactions on Signal Processing, 1992, 40(8):2061- 2064
[45] Schoukens J., Rolain Y., Pintelon R., Improved frequency response function measurements for random noise excitations, IEEE Transactions on Instrumentation and Measurement,998,47(1):322– 326
[46] 黄翔东,王兆华.任意正交变换下的全相位等效 FIR 滤波器的构造[J].天津大学学报,2006,39(9):1120-1125
[47] Akay O., Boudreaux-Bartels, G.F., Unitary and Hermitian fractional operators and their relation to the fractional Fourier transform[J]. IEEE Transactions on Signal Processing Letters, 1998, 5(12):312 -314
[48] Maqusi M, Correlation and spectral analysis of nonlinear transformations of sequency-band-limited signals[J].IEEE Transactions on Acoustics, Speech, and Signal Processing,1982, 30(3):513-516
[49] Schwartz M., Etzion T., The structure of single-track Gray codes, IEEE Transactions on Information Theory, 1999, 45(7):2383 – 2396
[50] A.V. Oppenheim and R.W.Schafer, Discrete-Time Signal Processing [M].Englewood CliKs, NJ, Prentice Hall, 1989
[51] 陈怀琛.数字信号处理教程—MATLAB 释义与实现[M].北京:电子工业出版社,2004:212-213
[52] Stubberud P.A., Leondes, C.T., A frequency sampling filter design method which accounts for finite word length effects, IEEE Transactions on Signal Processing:189 -193
[53] 黄翔东,王兆华.一种设计频率特性有间断滤波器的新方法[J].天津大学学报,2006,39(5):614-620
[54] Bhattacharya D, Antoniou A. Real-time design of FIR filters by feedback neural networks[J]. IEEE Trans. on Signal Processing Letters, 1996, 5(3):158 -161
[55] Hui Zhao, Jue bang Yu.A novel neural network-based approach for designing digital filters[C]. IEEE International Symposium on Circuits and Systems, June, 1997, 4: 2272 - 2275
[56] Mestari M., An analog neural network implementation in fixed time of adjustable-order statistic filters and applications, IEEE Transactions on Neural Networks, 2004,15(3): 766 - 785
[57] Liu Yang Shao Shiquan, An application of genetic algorithms with guiding strategy in the design of digital filter, June,2005, 2004 International Conference on Communications, Circuits and Systems, vol 2:1141-1145
[58] 陈小平,于盛林.遗传算法在FIR滤波器设计-频率样法中的应用[J].电子学报,2000,10(28):118-120
[59] Jinn-Tsong Tsai, Jyh-Horng Chou, Optimal design of digital IIR filters by using hybrid taguchi genetic algorithm, IEEE Transactions on Industrial Electronics, 2006,53(3):867-879
[60] Jovanovic-Dolecek G,Dolec ek V.Method for narrowband minimum phasefilter design[J].The American Journal of Electronics Letters,2001,37(3):324-325
[61] R E Crochiere, L R Rabiner. A Program for Multistage Decimation, Interpolation and Narrow-Band Filtering in Program for Digital Signal Processing[M].New York: IEEE Press,1979, 3-14
[62] Ahn, S., Eigenvalues of a matrix inside an ellipse and Chebyshev filter, IEEE Transactions on Automatic Control,1979,24(6):986 - 987
[63] Won Y.K., Park R.-H, Variable LMS algorithms using the time constant concept, IEEE Transactions on Consumer Electronics,1994,40(3): 655 – 661
[64] Wang Zengping, Ma Jing. A New Principle of Discrimination between Inrush Current and Internal Fault Current of Transformer Based on Self-Correction Function[C].The 7th International Power Engineering Conference ( IPEC 2005), Nov., 2005:1-4
[65] Li Yinfeng,Zhang Man.An effective lossless compression algorithm for medical image set based on denoise improved MMP method[C]. Proceedings of the 46th IEEE International Midwest Symposium on Circuits and Systems, Dec., 2003: 463-466
[66] Tanasa D, Trousse B. Data preprocessing for WUM[J].Potentials IEEE, 23(3):22 -25
[67] Boche, H., Behavior of discrete-time linear systems of infinite order, The 6th IEEE Conference on Electronics, Circuits and Systems, Sept. 1999, Volume 2:1115-1118
[68] Pintelon R., Schoukens J., Time series analysis in the frequency domain, IEEE Transactions on Signal Processing:1999,47(1): 206 - 210
[69] Yuan-Pei Lin, Yung-Yih Ban. Windowed multicarrier systems with minimum spectral leakage, IEEE International Conference on Acoustics, Speech, and Signal Processing, May 2004, Vol.4:749-752
[70] Mathews V., Youn D., Spectral leakage suppression properties of linear and Quadratic windowing, IEEE Transactions on Acoustics, Speech, and Signal Processing,1984,32(5): 1092 - 1095
[71] Proakis, John G. Algorithms for statistical signal processing [M]. Prentice Hall, c2002
[72] V.A. Gholkar. Mean Square Convergence Analysis of LMS Algorithm [Adaptive Filters].Electronics Letters,1990,26(20):1705-1706
[73] C.Caraiscos, Liu Bede. A Round off Error Analysis of The LMS Adaptive Algorithm.IEEE Trans.on Signal Processing,1984,32(1): 34-41
[74] S.Karn, G.Zeng. The Analysis of The Continuous-Time LMS Algorithm. IEEE Trans. on Signal Processing, 1989, 37(4):595-597
[75] 黄翔东,王兆华.基于系数查找表的全相位 FIR 自适应陷波器[J].电子测量与仪器学报,2006,20(3),80-84
[76] Guo J, Zou J, Zhang B, He J. L,Guan Z.C., An Interpolation Model to Accelerate the Frequency-Domain Response Calculation of Grounding Systems Using the Method of Moments[J], IEEE Transactions on Power Delivery, 2006,21(1):121-128
[77] Al-Nashi H., Phase unwrapping of digital signals[J], IEEE Transactions on Acoustics, Speech, and Signal Processing, 1989, 37(11):1693 -1702
[78] O'Meara, T., The Symmetrical Transfer Characteristics of the Narrow- Bandwidth Four-Crystal Lattice Filter[J]. IRE Transactions on Component Parts,1958,5(2):84-89
[79] Jun Won Choi, Nam Ik Cho. Narrow-band interference suppression in direct sequence spread spectrum systems using a lattice Fir notch filter [J]. Acoustics, Speech, and Signal Processing, 2001,vol.4:2237- 2240
[80] Kotaro Hirano, Shotard Nishimura. Design of Digital Notch Filters[J]. IEEE Trans. on Commun,1974,vol.22:964-970
[81] Pavel Zahradník. Fast Analytical Design Algorithms for FIR Notch Filters[J]. IEEE Trans on Circuits and systems, 2004, 51(3):608- 611
[82] X.P. Lai. Constrained Chebyshev Design of FIR Filters[J].IEEE Trans. on Circuits and Systems-II, 2004, 51(3):143-146
[83] Chen Xiaoping, Qu Bo, Lu Gang. An application of immune algorithm in FIR filter design[J]. Proceedings of the 2003 International Conference on Neural Networks and Signal Processing,Nanjing,china, Dec,2003,Vol.1:473- 475
[84] Zahradnik, P., Vlcek, M., An analytical procedure for critical frequency tuningFIR filters[J], IEEE Transactions on Circuits and Systems II: Express Briefs,2006,53(1):72-76
[85] Proakis J.G., Manolakis D.G. Digital Signal Processing: Principles, Algorithms and Applications [M]. Macmillan, New York, NY, third edition, 1996
[86] Rykaczewski P., Pienkowski D., Signal path optimization in software-defined radio systems[J]. IEEE Transactions on Microwave Theory and Techniques,2005,53(3),Part2: 1056 - 1064
[87] 张玉良,吴伟陵,田宝玉.宽带数字下变频器的一种新的实现结构[J].电路与统学报,2003,8(4):95 - 99
[88] Tongwen Chen, Li Qiu, Er-Wei Bai, General multirate building structures with application to nonuniform filter banks[J]. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing,1998,45(8): 948 - 958
[89] Sarkar S, Poor H.V., Multirate signal processing on finite fields[J].IEEE Proceedings of Vision, Image and Signal Processing,148(4),2001:254 - 262
[90] Abu-Al-Saud W.A., Stuber G.L., Efficient sample rate conversion for software radio systems[J]. IEEE Transactions on Signal Processing, 2006,54(3):932 - 939
[91] Y.C.Lim. Frequency-response masking approach for the synthesis of sharp linear phase digital filters[J].IEEE Transactions on Circuits and System, 1986, CAS-33(4):357 - 364
[92] Charng-Kann Chen, Ju-Hong Lee. Design of sharp-cutoff FIR digital filters with prescribed constant group delay[J]. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1996, 43(1):1 - 13
[93] Wu-Sheng Lu, Hinamoto T., Optimal design of frequency- response masking filters using semidefinite programming[J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications,2003, 50(4):557- 568
[94] Yong Lian. A new frequency-response masking structure with reduced complexity for FIR filter design[C]. The 2001 IEEE International Symposium on Circuits and Systems(ISCAS 2001), Sydney, May, 2001,vol.2: 609 - 612
[95] Yong Ching Lim, Ya Jun Yu, Saramaki T., Optimum masking levels and coefficient sparseness for Hilbert transformers and half-band filters designed using the frequency-response masking technique [J]. IEEE Transactions on Circuits and Systems I: Regular Papers, 2005, 52(11): 2444 - 2453
[96] 张玉良,吴伟陵,田宝玉.基于 FRM 结构的 FIR 滤波器的采样率变换方法[J].电子与信息学报,2003,25(8):1021 - 1028
[97] WAN G, HAN W M. Minimum error bound of signal reconstruction[J]. IEEE Transactions on Signal Processing Letters, 1999, 6(2): 309-311
[98] W. Pennebaker, J. Mitchell. JPEG Still Image Data Compression Standard[M]. New York: Van No strand, 1993
[99] ISO/IEC 13818-2.Generic coding of moving pictures and associated audio information: video,1996
[100] S.Mallat. A theory for multiresolution signal decomposition: The wavelet representation[J].IEEE Trans. Part. Ana1. and Machine intel1.,1989,11(2):674-693
[101] Ford C., Etter D.M..Wavelet basis reconstruction of nonuniformly sampled data, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1998, 45(8): 1165-1168
[102] ISO/IEC, ISO/IEC FCD 15444-1: Information technology JPEG2000 image coding system-part I:core coding system, March 16, 2000, http://www.jpeg.org
[103] A. Cohen, I. Daubechies, J.-C. Feaveau. Biorthogonal bases of compactly supported wavelets. Communications on Pure and Applied Mathematics, 1992, 45:485- 560
[104] Elbaz M., Abraham Z., Rubinstein J., Zeevi Y., Signal and image reconstruction from partial Fourier phase[C]. Proceedings of the 12th IAPR International Conference on Pattern Recognition - Conference C: Signal Processing, Jerusalem, October, 1994, vol.3: 82- 87
[105] Porat M., Shachor G.. Signal representation in the combined phase-spatial space: reconstruction and criteria for uniqueness[J]. IEEE Transactions on Signal Processing, 1999, 47(6):1701- 1707
[106] CHEN P. Gibbs Phenomenon Removal and Digital Filtering Directly through the Fast Fourier Transform[J]. IEEE Transactions on Signal Processing, 2001, 49(2):444- 449
[107] 潘文杰.傅立叶分析及其应用[M].北京:北京大学出版社,2000,48-49
[108] 塞缪尔(美)著,高顺泉译.数字信号分析[M].北京:人民邮电出版社,1983,24-25
[109] CHANG P S, HUNG Y M, LIANG L T. Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform[C]. IEEE Transactions on Signal Processing, 1999, 2883- 2888
[110] A. V. Oppenheim, R. W. Schafer. Digital Signal Processing[M]. Englewood Cliffs, NJ: Prentice-Hall, 1975
[111] Parks T., Signal processing: Discrete spectral analysis, detection, and estimation[J]. IEEE Transactions on Acoustics, Speech, and Signal Processing, 1976, 24(2):197- 197
[112] Sanjit K. Mitra 著 , 孙 洪 等 译 .Digital Signal Processing— A computer-Based Approach, second Edition[M]. Beijing, Publishing House of Electronics Industry, 2005: 99-109
[113] Gough PT., A fast spectral estimation algorithm based on the FFT [J]. IEEE Transactions on Signal Processing, 1994, 42(6):1317-1322
[114] Jacobsen S., Statistics of Leakage-Influenced Squared Coherence Estimated by Bartlett's and Welch's Procedures[J].IEEE Transactions on Signal Processing, 1993 , 41(1), 267-277
[115] Ayhan B, Mo-Yuen Chow, Trussell H J, Myung-Hyun Song. A case study on the comparison of non-parametric spectrum methods for broken rotor bar fault detection[C]. Industrial Electronics Society, 2003. IECON '03. The 29th Annual Conference of the IEEE, Nov.2003, 3(2-6):2835 -2840
[116] Lobos T, Leonowicz Z., Rezmer J, Schegner P., High-resolution spectrum-estimation methods for signal analysis in power systems[J]. IEEE Transactions on Instrumentation and Measurement, 2006, 55(1): 219-225
[117] Wear K A, Wagner R F, Garra BS. A comparison of autoregressive spectral estimation algorithms and order determination methods in ultrasonic tissue characterization[J]. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 1995, 42(4):709 -716
[118] Harris F.J., On the use of windows for harmonic analysis with the discrete Fourier transform[J]. Proceedings of the IEEE, 1978, 66(1): 51- 83
[119] Lanczos, C. Discourse on Fourier Series, Chapter 1[M]. Hafner Publishing Co., Newyork, 1966:7-47
[120] Jain V.K., Collins W. L., Davis D. C., High-accuracy analog measurements via interpolated FFT [J]. IEEE Trans. on Instrum Meas., 1979, 28(6):113-122
[121] Grandke T. Interpolating Algorithms for Discrete Fourier Transforms of Weighted signal. IEEE Transactions on Instrum. Meas., 1983, 13(2): 350-355
[122] 张伏生,耿中行,葛耀中.电力系统谐波分析的高精度FFT算法.中国电机工程学报,1999,19(3):50-54
[123] 丁康,谢明.离散频谱三点卷积幅值校正法的误差分析[J].振动工程学报,1996,9(1):92 - 98
[124] Xie Ming, Dins Kang. Correction For the Frequency, Amplitude and phase in FFF of Harmonic signal [J]. Mechanical Systems and Signal Processing, 1996, 10(20): 211 - 221
[125] 丁康,江利旗.离散频谱的能量重心校正法[J].振动工程学报,2001,14(3):354 – 359
[126] 刘渝.正弦波频率快速估计方法[J].数据采集与处理,1998,13(1):8 – 11
[127] 刘渝.快速高精度正弦波频率估计综合方法[J].电子学报,1999,27(6):126– 128
[128] 谢明,张晓飞,丁康.频谱分析中用于相位和频率校正的相位差较正法[J].振动工程学报,1999,12(4):454 - 459
[129] 丁康,罗江凯,谢明.离散频谱时移相位差校正法[J].应用数学和力学,2002,23(7):729-735
[130] 齐国清,贾欣乐.基于DFT的正弦波频率和初相的高精度估计方法[J].电子学报,29(9):1164-1167
[131] 刘进明,应怀樵.FFT谱连续细化分析的傅立叶变换法[J].振动工程学报,1995,18(2):162 -166
[132] Soo-chang Pei, Chien-Cheng Tseng. Adaptive IIR Notch Filter Based on Least Mean p-Power Error Criterion[J].IEEE Transactions on Circuits and Systems-II: Analog and Digital Signal Processing, 1993, 40(8): 525-528
[133] 朱晓勇,丁康.离散频谱校正法的综合比较[J].信号处理,2001,17(1):91-97
[134] 裴亮,李晶,郭发东,刘雷,胡军锋.电力系统谐波分析中Hanning窗插值算法的应用[J].山东科学,2005,18(5):76-79
[135] 徐志钮,律方成,赵丽娟.基于加汉宁窗插值的谐波分析法用于介损角测量的分析[J].电力系统自动化,2006,30(2):81- 85
[136] Theagenis J Abatzoglou., A fast maximum likelihood algorithm for frequency estimation of a sinusoid based on Newton’s method[J]. IEEE Transactions on Acoustics, Speech and Signal Processing, 1985, 33(1):77-89
[137] 徐钟济.蒙特卡罗方法[M].上海:上海科学技术出版社,1985,6
[138] Andria G., Savino M., Windows and Interpolation Algorithms to Improve Electrical Measurement Accuracy[J]. IEEE Transactions on Instrumentation and Measurement, 1989, 38(4):856 – 863
[139] 科技日报.2006年9月13日
[140] 江亚群,何怡刚.基于加窗DFT的相位差高精度测量算法[J].电路与系统学报,10(2):112-116
[141] 刘慧强,于殿泓,王玉峰,刘芸,乔闹生.利用快速傅立叶变换分析PMP相移机构的相移误差[J].西安理工大学学报,2006,22(1):85-88
[142] 胡雪梅,孙旭松.电力系统谐波的产生和危害[J].西安航空技术高等专科学校学报,2006,24(1):6-8
[143] 潘文,钱俞寿,周鹗.基于加窗插值FFT的电力谐波测量理论一窗函数研究[J].电工技术学报,1994,(1):50-54
[144] 赵文春,马伟明,胡安.电机测试中谐波分析的高精度FFT算法[J].中国电机工程学报,2001,21(12):83-92
[145] RifeD G, VincentG A. Use of the discrete Fourier Transform in the measurement of levels and tones[J]. Bell Syst. Tech.J., 1970, 49(2): l97-228
[146] 刘 敏,王克英.基于加窗双峰谱线插值的高精度FFT谐波分析[J].电测与仪表,2006,43(3):112-116
[147] Rifai M. R., Ortmeyer T. H., McQuillan W. J., Evaluation of current inter-harmonics from AC drives[J]. IEEE Transaction on Power Delivery, 2000, 150):1094-1098
[148] 赵秀山,谈克雄,朱德恒等.介质损耗角的数字化测量[J].清华大学学报(自然科学版),1996,36(9):51-53
[149] 王楠,律方成,梁英等.基于高精度DFT的介损数字测量方法.高电压技术,2003,29(4):3-5
[150] 尚勇,杨敏中,王晓蓉等.谐波分析法介质损耗因数测量的误差分析.电工技术学报,2002,17(3):67-71
[151] 邢晓异,仲新莉. FSK信号检测的高分辨率实现方法[J].华东交通大学学报,2000,17(3):47-51
[152] 王庆,孟宪德.车载FSK信号的实时高精度检测与DSP实现[J].通信学报,2001,22(9) :78-83
[153] 杨轶桢,马瑞军,魏学业.时频分布在FSK信号解调中的应用研究[J].铁道学报,2006,28(2):95-99
[154] Yu Renjun, Tan Eng Chong. Spectrogram Analysis of Genome Small Patterns Using Pseudo Smoothed Wigner-Ville Distribution[C].2005 Fifth International Conference on Information, Communications and Signal Processing, 06-09 Dec.2005: 1044 - 1047
[155] Yu R , OzkaramanliH. Hilbert transform pairs of biorthogonal wavelet bases[J]. IEEE Transactions on Signal Processing, 2006, 54(6), 2119 - 212
[156] Yih-Chyun Jenq. Direct digital synthesizer with jittered clock[J]. IEEE Transactions on Instrumentation and Measurement, 1997, 46(3):653 - 65
[157] Marques P.A.C. Dias J.M.B. Velocity estimation of fast moving targets using a Single SAR sensor[J]. IEEE Transactions on Aerospace and Electronic Systems, 2005, 41(1):75 - 89
[158] Qinghui Liu,Tsuruta S. New method of measuring phase characteristics of antenna using Doppler frequency measurement technique[J].IEEE Transactions on Antennas and Propagation, 2004, 52(12):3312-3318
[159] 曹延伟,张昆帆等.一种稳健的离散频谱校正方法[J].电子与信息学报,27(9):1353-1356
[160] 李世祥.光电对抗技术[M].长沙:国防科技大学出版社,2000:102 –113
[161] Hernandez-Cordero J., Kozlov V.A., Morse T.F., Highly accurate method for single-mode fiber laser wavelength measurement[J], IEEE Photonics Technology Letters,2002,14(1): 83 - 85
[162] 程玉宝,王炳健,刘上乾. 一种提高激光波长测量精度的改进算法[J].光子学报,2003,32(9):1041-1044
[163] 程玉宝,周慧鑫,刘上乾.一种激光探测与波长测定装置的研究[J].光电工程,2002,29(6):25 - 27
[164] 谢蕾,李季,陈结祥,戚俊,黄正英.基于FFT的激光测距数字相位计的实现[J].量子电子学报,2003,20(1):85-89
[165] 谢春健,郭陈江,马瑞峰,杨琳.基于 RLS 算法的直接序列扩频抗窄带干扰技术[J].无线通信技术,2005,14(3):10-13