Frequency Angle 2D Angle Estimation of Wide Frequency Band Signals with Sub-Nyquist Spatio-temporal Sampling

SI De-yi; LIU Rong-ke; CHENG Dai-song; SHEN Shi-tuan; ZHOU Yin-qing

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Frequency Angle 2D Angle Estimation of Wide Frequency Band Signals with Sub-Nyquist Spatio-temporal Sampling

更新时间：2025-07-16

- Frequency Angle 2D Angle Estimation of Wide Frequency Band Signals with Sub-Nyquist Spatio-temporal Sampling
- Acta Electronica Sinica Vol. 28, Issue 3, Pages: 9-12(2000)
- 作者机构：
  
  北京航空航天大学204教研室,北京,100083
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN971
- Published：2000
- 稿件说明：
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SI De-yi, LIU Rong-ke, CHENG Dai-song, et al. Frequency Angle 2D Angle Estimation of Wide Frequency Band Signals with Sub-Nyquist Spatio-temporal Sampling[J]. Acta Electronica Sinica, 2000, 28(3): 9-12.
DOI：

SI De-yi, LIU Rong-ke, CHENG Dai-song, et al. Frequency Angle 2D Angle Estimation of Wide Frequency Band Signals with Sub-Nyquist Spatio-temporal Sampling[J]. Acta Electronica Sinica, 2000, 28(3): 9-12. DOI：

摘要

本文提出了一种时空欠采样宽频段(2~18GHz)信号频率、方位角和仰角三维参数估计方法.该方法采用均匀圆阵和阵元延时

可在时间欠采样条件下实现频率无模糊估计;在空间欠采样条件下

用整数搜索法实现方位角和仰角无模糊估计

且频率、方位角和仰角估计可自动配对.该方法不仅可用于二阶统计量阵元空间和DFT波束空间

而且还可用于四阶累积量

可在高斯白或色噪声背景下

估计非高斯信源的参数.在DFT波束空间、阵元数相同和最大孔径相当时

该方法方位角和仰角估计的方差比L阵方法的方差小1~2个数量级.仿真实验表明了算法的有效性.

Abstract

A method is presented for estimation of the frequency

azimuth and elevation angles of the signal over a very wide frequency band (2~18GHz) with sub-Nyquist spatio-temporal sampling.Using a uniform circular array and antennas time-delaying

it can provide unambiguous frequency estimation under temporal undersampling

and provides unambiguous azimuth and elevation estimation using integer search algorithm under spatial undersampling.The estimations of azimuth and elevation and corresponding frequency are automatically paired.It not noly can use second-order statistics in element space or DFT beamspace

but also can use fourth-order cumulants to estimate the parameters of non-Gaussian sources in Gaussian white or colored noises.The variance of the azimuth and elevation estimates of this method is 1~2 orders less than that of L-shaped array algorithm under the same antenna numbers and the maximum aperture in DFT beamspace.Simulations are presented to show the capabilities of the algorithm.

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