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基于期望最大化算法的捷變頻聯(lián)合正交頻分復用雷達高速多目標參數(shù)估計

全英匯,  高霞,  沙明輝,  陳俠達,  李亞超,  邢孟道,  岳超良

全英匯, 高霞, 沙明輝, 陳俠達, 李亞超, 邢孟道, 岳超良. 基于期望最大化算法的捷變頻聯(lián)合正交頻分復用雷達高速多目標參數(shù)估計[J]. 電子與信息學報, 2020, 42(7): 1611-1618. doi: 10.11999/JEIT190474
引用本文: 全英匯, 高霞, 沙明輝, 陳俠達, 李亞超, 邢孟道, 岳超良. 基于期望最大化算法的捷變頻聯(lián)合正交頻分復用雷達高速多目標參數(shù)估計[J]. 電子與信息學報, 2020, 42(7): 1611-1618. doi: 10.11999/JEIT190474
Yinghui QUAN, Xia GAO, Minghui SHA, Xiada CHEN, Yachao LI, Mengdao XING, Chaoliang YUE. High Speed Multi-target Parameter Estimation for FA-OFDM Radar Based on Expectation Maximization Algorithm[J]. Journal of Electronics & Information Technology, 2020, 42(7): 1611-1618. doi: 10.11999/JEIT190474
Citation: Yinghui QUAN, Xia GAO, Minghui SHA, Xiada CHEN, Yachao LI, Mengdao XING, Chaoliang YUE. High Speed Multi-target Parameter Estimation for FA-OFDM Radar Based on Expectation Maximization Algorithm[J]. Journal of Electronics & Information Technology, 2020, 42(7): 1611-1618. doi: 10.11999/JEIT190474

基于期望最大化算法的捷變頻聯(lián)合正交頻分復用雷達高速多目標參數(shù)估計

doi: 10.11999/JEIT190474

  • 西安電子科技大學雷達信號處理國家重點實驗室 西安 710071

基金項目: 國家自然科學基金(61303035, 61772397)，中央高?；究蒲袠I(yè)務(wù)費專項資金，西安電子科技大學研究生創(chuàng)新基金
詳細信息
    作者簡介:

    全英匯：男，1981年生，博士，教授，研究方向為雷達信號處理，主動波形對抗

    高霞：女，1996年生，碩士生，研究方向為雷達信號處理

    沙明輝：男，1986年生，博士生，研究方向為雷達抗干擾和信號處理

    陳俠達：男，1995年生，碩士生，研究方向為雷達信號處理

    李亞超：男，1981年生，博士，教授，研究方向為雷達成像和實時信號處理

    邢孟道：男，1981年生，博士，教授，研究方向為雷達成像和實時信號處理

    岳超良：男，1979年生，碩士，研究方向為雷達信號處理

    通訊作者:

    高霞　2636897970@qq.com

  • 中圖分類號: TN957.51

High Speed Multi-target Parameter Estimation for FA-OFDM Radar Based on Expectation Maximization Algorithm

  • National Key Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, China

Funds: The National Natural Science Foundation of China (61303035, 61772397), The Foundation Research Funds for Central University, The Innovation Fund of Xidian University
  • 摘要:

    參數(shù)估計對雷達的目標檢測和識別有著重要的意義。該文提出了一種基于期望最大化(EM)算法的捷變頻聯(lián)合正交頻分復用(FA-OFDM)雷達高速多目標參數(shù)估計方法。首先，將窄帶正交頻分復用(OFDM)信號與傳統(tǒng)捷變頻雷達相結(jié)合，在每個脈沖寬度內(nèi)同時發(fā)射多個載頻隨機跳變的子載波。然后，對單個脈沖內(nèi)所有子載波的回波進行脈沖壓縮和稀疏重構(gòu)處理，得到1維高分辨距離。進一步地，將多個目標在不同脈沖時刻的高分辨距離信息構(gòu)成觀測數(shù)據(jù)，建立混合高斯模型。采用EM算法對模型參數(shù)和多個目標的距離、速度進行估計，并同時擬合多條時間-距離直線。直線斜率對應(yīng)目標速度，直線縱軸截距對應(yīng)目標初始距離。最終，分別分析了信噪比(SNR)對檢測概率以及目標速度對相對估計誤差的影響。仿真實驗驗證了所提算法的有效性。

    Abstract:

    Parameter estimation is very important for radar to detect and recognize targets. In this paper, a high speed multi-target parameter estimation method for Frequency Agility-Orthogonal Frequency Division Multiplexing(FA-OFDM) radar based on Expectation Maximization(EM) algorithm is proposed. Firstly, a promising idea is to combine narrowband Orthogonal Frequency Division Multiplexing (OFDM) signals and frequency agility, multiple subcarriers that frequency hopping randomly are simultaneously transmitted within each pulse width. Then, all echoes of a single pulse are compressed and sparsely reconstructed to achieve 1-demension high range resolution. Subsequently, the high resolution range of multiple targets at each pulse time are obtained to constitute the observation data, and Gauss mixture model is established. EM algorithm is applied to estimate the parameters of the model and the range and velocity of multiple targets. Also, multiple time-range lines are fitted at the same time, and the slope of the line corresponds to the velocity of the target, as well as, the vertical intercept of the line corresponds to the initial range of the target, separately. Finally, the influence of the Signal-to-Noise Ratio (SNR) on detection probability and the target velocity on relative error of estimation are analyzed, respectively. Simulations are provided to verify the effectiveness of the proposal.

    • HTML全文

  • 圖  1  FA-OFDM雷達發(fā)射信號示意圖

    圖  2  基于EM算法的高速多目標參數(shù)估計方法的流程圖

    圖  3  單目標仿真結(jié)果

    圖  4  多目標仿真結(jié)果

    圖  5  信噪比對檢測概率的影響

    圖  6  目標速度對估計誤差的影響

    表  1  仿真參數(shù)

    參數(shù)數(shù)值參數(shù)數(shù)值
    脈沖寬度4 μs脈沖重復頻率25 kHz
    信號帶寬24 MHz采樣頻率48 MHz
    子載波個數(shù)64中心載頻14 GHz
    跳頻總數(shù)128跳頻帶寬20 MHz
    脈沖總數(shù)64信噪比–12 dB
    目標距離[3994,4001,4006] m目標速度[600,1220,5800] m/s
    下載: 導出CSV
  • 霍凱, 趙晶晶. OFDM新體制雷達研究現(xiàn)狀與發(fā)展趨勢[J]. 電子與信息學報, 2015, 37(11): 2776–2789. doi: 10.11999/JEIT150335

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出版歷程
  • 收稿日期:  2019-06-27
  • 修回日期:  2020-03-17
  • 網(wǎng)絡(luò)出版日期:  2020-04-17
  • 刊出日期:  2020-07-23

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