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论文:2014,Vol:32,Issue(6):888-893 |
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引用本文: |
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梁红, 闫照南, 叶陈诚, 金磊磊, 张恒. 欠采样下多个线性调频信号参数估计方法[J]. 西北工业大学学报 |
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Liang Hong, Yan Zhaonan, Ye Chencheng, Jin Leilei, Zhang Heng. An Effective Method for Joint Estimation of Chirp Rates and Initial Frequencies of Multiple LFM Signals with Sub-Nyquist Sampling[J]. Northwestern polytechnical university |
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欠采样下多个线性调频信号参数估计方法 |
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梁红, 闫照南, 叶陈诚, 金磊磊, 张恒 |
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西北工业大学 航海学院, 陕西 西安 710072 |
摘要: |
针对时域欠采样下多分量线性调频信号参量估计问题,提出了一种基于同时估计多个实数的广义稳健中国剩余定理的调制斜率和初始频率的解模糊方法。研究了忽略信号交叉项影响所需的条件及利用广义稳健中国定理对多个LFM信号参数解模糊的原理和方法。仿真实例表明,提出的方法在低信噪比及时域欠采样下对多个LFM信号的调制斜率和初始频率估计精度高、稳健性好。 |
关键词:
时域欠采样
解模糊
广义稳健中国剩余定理
信号交叉项
多个LFM的参数估计
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An Effective Method for Joint Estimation of Chirp Rates and Initial Frequencies of Multiple LFM Signals with Sub-Nyquist Sampling |
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Liang Hong, Yan Zhaonan, Ye Chencheng, Jin Leilei, Zhang Heng |
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College of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China |
Abstract: |
Aim. We propose a new approach to joint estimation of chirp rates and initial frequencies of multipleLFM signals with sub-Nyquist temporal sampling. Sections 1 through 3 explain our method of joint estimation men-tioned in the title,which we believe is effective. In section 2,we brief GRCRT(Generalized Robust Chinese Re-mainder Theorem) for multiple numbers proposed by us in Ref.4. The core of section 3 is :"We apply GRCRT formultiple numbers to estimate chirp rates and initial frequencies for multiple LFM signals. In subsection 3. 1,we ap-plied the GRCRT for multiple numbers to multiple LFM signals'chirp rates estimation in multiple undersampledwaveforms and obtained the condition for ignoring the effect of cross term. In subsection 3. 2,we applied theGRCRT for multiple numbers to multiple LFM signals'initial frequencies estimation". Section 4 presents a numeri-cal example; the simulation results,given in Figs. 1 and 2,and their analysis show preliminarily that our new ap-proach based on GRCRT for multiple numbers can indeed accurately and robustly estimate chirp rates and initialfrequencies of multiple LFM signals. |
Key words:
autocorrelation
errors
fast Fourier transforms
frequency modulation
mean square error
MonteCarlo methods
parameter estimation
probability
sampling
signal to noise ratio
time delay
timeseries
chirp rate
cross term
GRCRT(Generalized Robust Chinese Remainder Theorem)
sub-Nyquist spatial-temporal sampling
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收稿日期: 2014-04-28
修回日期:
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DOI: |
基金项目: 国家自然科学基金(61379007);航空科学基金(2012ZC53032)资助 |
通讯作者:
Email: |
作者简介: 梁红(1969-),女,西北工业大学教授,主要从事信号处理研究。
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相关功能 |
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作者相关文章 |
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梁红 在本刊中的所有文章 |
闫照南 在本刊中的所有文章 |
叶陈诚 在本刊中的所有文章 |
金磊磊 在本刊中的所有文章 |
张恒 在本刊中的所有文章 |
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参考文献: |
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[1] 齐林, 陶然, 周思永, 等. 基于分数阶 Fourier 变换的多分量 LFM 信号的检测和参数估计[J]. 中国科学(E 辑), 2003, 33(8):749-759Qi Lin,Tao Ran,Zhou Siyong,et al. Multicomponent LFM Signal Detection Parameter Estimation Based on Fractional FourierTransform. Science in China(Series E),2003,33(8): 749-759 (in Chinese)[2] 沈显祥, 叶瑞青, 唐斌, 等. 基于欠采样的宽带线性调频信号参数估计. 电波科学学报,2007, 22(1):43-46Shen Xianxiang,Ye Ruiqing,Tang Bin,et al. An Algorithm for Estimation of Wideband LFM Signal Parameters Based on Sub-sampling. Chinese Journal of Radio Science,2007,22(1): 43-46 (in Chinese)[3] Li Xiaowei,Liang Hong,Xia Xianggen. A Robust Chinese Remainder Theorem with its Applications in Frequency Estimationfrom Undersampled Waveforms. IEEE Trans on Signal Processing,2009, 57(11): 4314-4322[4] Hong Liang,Heng Zhang,Ning Jia. A Generalized Robust Chinese Remainder Theorem for Multiple Numbers and Its Applica-tion in Multiple Frequency Estimation with Low Sampling Rates[C] ∥Proc Int Conf Signal Processing,Communication andComputing,2011 |
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1.叶陈诚, 梁红.空间欠采样下多个LFM信号方位估计新方法[J]. 西北工业大学学报, 2015,33(5): 849-853 |
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