论文:2014,Vol:32,Issue(6):888-893
引用本文:
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
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

欠采样下多个线性调频信号参数估计方法
梁红, 闫照南, 叶陈诚, 金磊磊, 张恒
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   
An Effective Method for Joint Estimation of Chirp Rates and Initial Frequencies of Multiple LFM Signals with Sub-Nyquist Sampling
Liang Hong, Yan Zhaonan, Ye Chencheng, Jin Leilei, Zhang Heng
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   
收稿日期: 2014-04-28     修回日期:
DOI:
基金项目: 国家自然科学基金(61379007);航空科学基金(2012ZC53032)资助
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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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参考文献:
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