多分量二维线性调频信号瞬时频率变化率估计

Abstract

Abstract: For the problem of the instantaneous frequency rate estimation of multicomponent two-dimensional(2-D) chirp signals,a new method is presented.The 2-D cubic phase function(CPF) is defined,which is efficient to estimate the parameters of monocomponent 2-D chirp signals.However,when the 2-D CPF is applied to deal with multicomponent 2-D chirp signals,the spurious peak can arise from the existing of cross terms.And then the definition of the 2-D product cubic phase function(PCPF) is given.Using 2-D PCPF,the instantaneous frequency rate of 2-D chirp signals under low SNR can be estimated accurately.The simulation examples demonstrate the effectiveness of the proposed method.

CLC Number:

TN911.72

ZHANG Kun-lei, WANG Shu-xun, CAO Fan. Instantaneous frequency rate estimation of multicomponent two-dimensional chirp signals[J]. Journal of Systems Engineering and Electronics, 2009, 31(5): 1001-1006.

References

[1] Hlawatsch F,Boudreaux-Bartels G F.Linear and quadratic time-frequency signal representations[J].IEEE SPIE Mag,1992(9):21-267.
[2] 邵智超,吴彦鸿,贾鑫.基于时频分析的LMF信号检测参数估计[J].装备技术指挥学院学报,2004,15(2):71-75.
[3] Abotzoglou T.Fast maximum likelihood joint estimation of frequency and frequency rate[J].IEEE Trans.on Acoust.Speech Signal Processing,1986,22:708-715.
[4] 张容权,杜雨,杨建宇.一种LMF信号最大似然估计模型与参数快速估计算法[J].电波科学学报,2005,20(5):651-655.
[5] Djuric P M,Kay S M.Parameter estimation of chirp signals[J].IEEE Trans.on Signal Processing,1990,38:2118-22126.
[6] Xia X G.Discrete Chirp-2Fourier transform and its application to chirp rate estimation[J].IEEE Trans.on Signal Processing,2000,48:3122-3133.
[7] Peleg S,Friedlander B.Muhicomponent signal analysis using the polynomial-phase transform[J].IEEE Trans.on Aerospace Electron.Syst.,1996,32:378-387.
[8] 李靖,王树勋,汪飞.基于多项式变换的自适应Chirp信号参数估计[J].吉林大学学报(工学版),2004,32(4):617-621.
[9] Wang M,Chan A K,Chui C K.Linear frequency-modulated signal detection using radon-ambiguity transform[J].IEEE Trans.on Signal Processing,1998,46:571-586.
[10] Almeida L B.The fractional Fourier transform and time-frequency representations[J].IEEE Trans.on Signal Processing,1994,42:3084-3091.
[11] Maragos P,Kaiser J F,Quatieri T F.On amplitude and frequency demodulation using energy operators[J].IEEE Trans.on Signal Processing,1993(4):1532-1549.
[12] Bovik A C,Maragos P,Quatieri T F.AM-FM frequency detection and separaten in noise using multiband energy operators[J].IEEE Trans.on Signal Processing,1993:3245-3265.
[13] Havlicek J P,Bovik A C.Multi-component AM-FM image models and wavelet-based demodulation with component tracing[C]//IEEE International Conference on Image Processing,1993:41-45.
[14] Benjamin F,Joseph M F.An estimation algorithm for 2-D Polynomial Phase Signals[J].IEEE Trans.on Image Processing,1996,5(6):1084-1087.
[15] Joseph M F,Benjamin F.Optimal parameter selection in the phase differencing algorithm for 2-D phase estimation[J].IEEE Trans.on Signal Processing,1999,47(1):273-279.
[16] Joseph M F,Benjamin F.Two-dimensional polynomial phase signal:parameter estimation and bounds[J].Multidim.Syst.Signal Processing,1998(9):173-206.
[17] Joseph M F,Benjamin F.Parameter estimation of 2-D random amplitude polynomial-phase signals[J].IEEE Trans.on Signal Processing,1999,47(7):1795-1810.
[18] Cao Fan,Wang Shuxun,Wang Fei.Cross spectral method based on 2-D cross polynomial transform for 2-D chirp signal parameter estimation[C]//8th International Con ference on Signal Processing,2006:190-193.
[19] 曹凡,王树勋,陈巧霞.基于四阶累积量的线性调频信号参量估计[J].系统工程与电子技术,2007,29(9):1441-1444.(Cao Fan,Wang Shuxun,Chen Qiaoxia.Parameter estimation of chirp signal based on fourth-order cumulant[J].Systems Engineering and Electronics,2007,29(09):1441-1444.)
[20] Shea P O.A fast algorithm for estimating the parameters of a quadratic FM signal[J].IEEE Trans.on Signal Processing,2004,52:385-393.
[21] Wang Pu,Yang Jianyu.Muhicomponent chirp signals analysis using product cubic phase function[J].Digital Signal Processing,2006,16:654-669.
[22] Ikram M Z,Zhou G T.Estimation of multicomponent polynomial phase signals of mixed orders[J].Signal Processing,2001,81:2293-2308.

Instantaneous frequency rate estimation of multicomponent two-dimensional chirp signals

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Shiyan SUN, Gang ZHANG, Weige LIANG, Bo SHE, Fuqing TIAN. Remaining useful life prediction method of rolling bearing based on time series data augmentation and BLSTM [J]. Systems Engineering and Electronics, 2022, 44(3): 1060-1068.
[2]	Xiangdong HUANG, Yiran ZHAO, Di MIAO. Beamformer design based on noise subspace characteristics [J]. Systems Engineering and Electronics, 2021, 43(8): 2297-2302.
[3]	Kai SHAO, Liancheng CHEN, Yin LIU. Learning and estimation of high mobility Jakes channel [J]. Systems Engineering and Electronics, 2021, 43(4): 1119-1125.
[4]	Shiyan SUN, Gang ZHANG, Fuqing TIAN, Weige LIANG. Health indicator construction method of multi-input hybrid deep learning network [J]. Systems Engineering and Electronics, 2020, 42(10): 2390-2398.
[5]	Gang ZHANG, Fuqing TIAN, Weige LIANG, Bo SHE. Construction method of bearing health indicator based on multi-scale AlexNet network [J]. Systems Engineering and Electronics, 2020, 42(1): 245-252.
[6]	HUANG Xiang-dong, WANG Zhao-hua, LÜ Wei. Design of high-efficiency FRM notch filter with frequency point accurately controlled [J]. Journal of Systems Engineering and Electronics, 2009, 31(10): 2320-2322,2454.
[7]	RONG Hai-na, ZHANG Ge-xiang, JIN Wei-dong. Novel detection method for multi-component radar emitter signals [J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2096-2100.
[8]	WANG Fei, ZHOU Jian-jiang. Multi-parameter estimation of harmonics based on quaternion matrix [J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2037-2041.
[9]	YIN Fu-lian, GUO Li-li, LU Man-hong. Research on common interference detection techniques of spread spectrum TT&C systems [J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2195-2199.
[10]	ZHANG Zhong-hua, ZHANG Duan-jin. New variable step size LMS adaptive filtering algorithm and its performance analysis [J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2238-2241.
[11]	ZHANG Chao-zhu, ZHANG Jian-pei, SUN Xiao-dong. Blind source separation based on adaptive particle swarm optimization [J]. Journal of Systems Engineering and Electronics, 2009, 31(6): 1275-1278.
[12]	YANG Shen-yuan, ZHAO Li-quan, ZHANG Chao-zhu, JIA Yan-fei. Research on adaptive real-time blind separation algorithm of complex mixed signals [J]. Journal of Systems Engineering and Electronics, 2009, 31(5): 1018-1021.
[13]	MA She-xiang, ZHAO Chao-xia. Acoustic passive localization algorithm and its performance analysis based on spatial cross array [J]. Journal of Systems Engineering and Electronics, 2009, 31(3): 553-556.
[14]	DONG Hang, SUN Hong. Adaptive filter based on coefficient order control and applied to acoustic echo cancellation [J]. Journal of Systems Engineering and Electronics, 2009, 31(01): 15-17,32.
[15]	WANG Fei, WANG Shu-xun, LIU Yu. Time-delay estimation based on quaternion theory [J]. Journal of Systems Engineering and Electronics, 2009, 31(01): 25-28.