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论文:2012,Vol:30,Issue(5):694-698 |
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引用本文： |
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梁红, 张恒. 空时欠采样下多目标频率和方位联合估计新方法[J]. 西北工业大学 |
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Liang Hong, Zhang Heng. An Effective Method for Joint Estimation of Frequency and DOA with Sub-Nyquist Spatial-Temporal Signals Based on GRCRT for Multiple Numbers[J]. Northwestern polytechnical university |
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| 空时欠采样下多目标频率和方位联合估计新方法 |
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| 梁红, 张恒 |
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| 西北工业大学 航海学院, 陕西 西安 710072 |
| 摘要: |
| 针对空时欠采样下多个窄带信号参量估计问题,提出了一种基于同时估计多实数的广义稳健中国剩余定理的频率和方位联合解模糊方法。该方法首先对任意单阵元采用多次时域欠采样,获得多个目标的模糊的频率估计值,然后利用同时估计多个实数的广义稳健中国剩余定理估计出多目标的无模糊频率;在空时欠采样下,获得多组阵元接收到的信号相位差的模糊值,再利用广义稳健中国剩余定理解相位模糊,从而估计出多源信号的真实方位。仿真实例表明新提出的方法可以在空时欠采样情况下有效地对多个目标同时解频率和方位模糊,频率和方位联合估计的精度高,稳健性好。 |
| 关键词:
到达方向
效率
估计
频带
数学模型
蒙特卡洛方法
采样
传感器阵列
声纳
目标
广义稳健中国剩余定理
频率和方位联合估计
空时欠采样
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| An Effective Method for Joint Estimation of Frequency and DOA with Sub-Nyquist Spatial-Temporal Signals Based on GRCRT for Multiple Numbers |
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| Liang Hong, Zhang Heng |
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| College of Marine Engineering,Northwestern Polytechnical University,Xi'an 710072,China |
| Abstract: |
| Aim.We propose a new approach to joint estimation of frequencies and DOAs(direction of arrivals) formultiple narrow-band signals with sub-Nyquist spatial-temporal sampling.Sections 1 through 3 explain our methodof joint estimation mentioned in the title, which we believe is effective.In section 2, we brief GRCRT(GeneralizedRobust Chinese Remainder Theorem) for multiple numbers proposed by us in Ref.4.The core of section 3 is:"Weapply GRCRT for multiple numbers to solve frequency ambiguity and DOA ambiguity for multiple signals.In sub-section 3.1, we applied the GRCRT for multiple numbers to multiple signals'frequency estimation in multiple un-dersampled waveforms.In subsection 3.2, we obtain ambiguous phase differences of multiple signals from severalpairs of array antennas with sub-Nyquist spatial-temporal sampling; then we apply GRCRT to estimate the real DOAof each signal."Section 4 presents a numerical example; the simulation results, given in Figs.2 and 3, show pre-liminarily that our new approach based on GRCRT for multiple numbers can indeed accurately and robustly estimatefrequencies and DOAs of multiple narrow-band signals. |
| Key words:
direction of arrival
efficiency
estimation
frequency bands
mathematical models
Monte Carlomethods
sampling
sensor arrays
sonar
targets;GRCRT(Generalized Robust Chinese RemainderTheorem)
joint estimation of frequency and DOA
sub-Nyquist spatial-temporal sampling
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| 收稿日期: 2011-10-24
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金(61201322)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 |
| 张恒 在本刊中的所有文章 |
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参考文献: |
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[1] 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
[2] 梁 红,张 琦,杨长生.广义稳健的中国剩余定理及其在欠采样率下频率估计中的应用.电子与信息学报,2010,32(8):1802-1805Liang Hong,Zhang Qi,Yang Changsheng.A Generalized Robust Chinese Remainder Theorem and Its Application to FrequencyEstimation with Undersampling.Journal of Electronics & Information Technology,2010,32(8):1802-1805 (in Chinese)
[3] 梁 红,张 琦,杨长生.广义稳健中国剩余定理及其在空间欠采样信号 DOA 估计中的应用.西北工业大学学报,2010,28(3):409-414Liang Hong,Zhang Qi,Yang Changsheng.A Generalized Robust Chinese Remainder Theorem(GRCRT) and Its Successful Ap-plication to DOA Estimation for Undersampled Spatial Signals.Journal of Northwestern Polytechnical University,2010,28(3):409-414 (in Chinese)
[4] Liang Hong,Zhang Heng,Jia Ning.A Generalized Robust Chinese Remainder Theorem for Multiple Numbers and Its Applica-tion in Multiple Frequency Estimation with Low Sampling Rates.Proc Int Conf Signal Processing,Communication and Compu-ting (IEEE ICSPCC2011),Xi'an,China,2011
[5] Zoltwoski M D,Cherian P.Mathews.Real-Time Frequency and 2-D Angle Estimation with Sub-Nyquist Spatio-Temporal.IEEETrans on SP,1994,42:2781～2794 |
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