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基于混合三角變異差分進化算法的平面稀疏陣列約束優(yōu)化

陳志坤 杜康 彭冬亮 朱新挺

陳志坤, 杜康, 彭冬亮, 朱新挺. 基于混合三角變異差分進化算法的平面稀疏陣列約束優(yōu)化[J]. 電子與信息學(xué)報, 2020, 42(4): 895-901. doi: 10.11999/JEIT190705
引用本文: 陳志坤, 杜康, 彭冬亮, 朱新挺. 基于混合三角變異差分進化算法的平面稀疏陣列約束優(yōu)化[J]. 電子與信息學(xué)報, 2020, 42(4): 895-901. doi: 10.11999/JEIT190705
Zhikun CHEN, Kang DU, Dongliang PENG, Xinting ZHU. Planar Sparse Array Constraint Optimization Based on Hybrid Trigonometric Mutation Differential Evolution Algorithm[J]. Journal of Electronics & Information Technology, 2020, 42(4): 895-901. doi: 10.11999/JEIT190705
Citation: Zhikun CHEN, Kang DU, Dongliang PENG, Xinting ZHU. Planar Sparse Array Constraint Optimization Based on Hybrid Trigonometric Mutation Differential Evolution Algorithm[J]. Journal of Electronics & Information Technology, 2020, 42(4): 895-901. doi: 10.11999/JEIT190705

基于混合三角變異差分進化算法的平面稀疏陣列約束優(yōu)化

doi: 10.11999/JEIT190705
基金項目: 國家自然科學(xué)基金(61701148)
詳細信息
    作者簡介:

    陳志坤:男,1982年生,博士,講師,研究方向為雷達陣列信號處理與電子偵察

    杜康:男,1996年生,碩士生,研究方向為陣列優(yōu)化與波束形成

    彭冬亮:男,1977年生,博士,教授,博士生導(dǎo)師,研究方向為信息融合

    朱新挺:男,1996年生,碩士生,研究方向為信號檢測技術(shù)

    通訊作者:

    杜康 dk@hdu.edu.cn

  • 中圖分類號: TN957.2

Planar Sparse Array Constraint Optimization Based on Hybrid Trigonometric Mutation Differential Evolution Algorithm

Funds: The National Natural Science Foundation of China (61701148)
  • 摘要:

    針對旁瓣零陷凹面約束的稀疏平面陣列優(yōu)化及算法早熟等問題,該文基于參數(shù)自適應(yīng)的思想,提出一種混合三角變異差分進化算法。通過引入旁瓣零陷凹面約束矩陣,構(gòu)建自適應(yīng)懲罰函數(shù),時變權(quán)重組合變異策略與交叉策略,提高算法前期全局搜索能力和后期收斂能力,最終實現(xiàn)峰值旁瓣電平和旁瓣零陷凹面的平面陣列約束優(yōu)化。仿真結(jié)果表明,對比混合三角變異策略前的算法,該算法在完成稀疏陣列峰值旁瓣電平優(yōu)化的同時,能在指定旁瓣區(qū)域完成零陷凹面設(shè)計,降低有源干擾影響。

  • 圖  1  稀疏陣列3維方向圖

    圖  2  算法收斂曲線對比和稀疏陣元分布

    圖  3  可行解比例和$u = 0$比平面方向圖

    圖  4  稀疏陣列3維方向圖

    圖  5  算法收斂曲線和稀疏陣元分布

    圖  6  可行解比例和$u = 0$平面方向圖

    表  1  最大零陷深度約束為45時旁瓣零陷凹面增益(c = 1)

    序號123456789
    $p$505050515151525252
    $q$505152505152505152
    增益(dB)–41.7232–47.8437–43.4869–41.2586–53.0450–44.7019–43.8560–46.1852–46.9309
    下載: 導(dǎo)出CSV

    表  2  最大零陷深度約束為50時旁瓣零陷凹面增益(c = 1)

    序號123456789
    $p$505050515151525252
    $q$505152505152505152
    增益(dB)–46.6703–45.7740–42.0270–43.5748–55.1658–43.9545–42.9269–49.6869–45.4186
    下載: 導(dǎo)出CSV

    表  3  最大零陷深度約束為55時旁瓣零陷凹面增益(c = 1)

    序號123456789
    $p$505050515151525252
    $q$505152505152505152
    增益(dB)–46.4656–47.1974–43.3241–47.4544–58.0909–43.7558–55.5215–48.7782–45.2064
    下載: 導(dǎo)出CSV

    表  4  最大零陷深度約束為45時旁瓣零陷凹面增益(c = 2)

    序號123456789
    p494949494950505050
    q495051525349505152
    增益(dB)–46.5458–45.8412–46.2580–40.8917–40.9214–49.3585–55.9305–47.3353–42.1900
    序號101112131415161718
    p505151515151525252
    q534950515253495051
    增益(dB)–42.6126–43.5500–51.2554–49.3633–44.1652–43.3289–44.5767–60–60
    序號19202122232425
    p52525353535353
    q52534950515253
    增益(dB)–45.5003–42.0649–46.5876–45.0475–48.2879–44.7265–41.0207
    下載: 導(dǎo)出CSV

    表  5  最大零陷深度約束為50時旁瓣零陷凹面增益(c = 2)

    序號123456789
    p494949494950505050
    q495051525349505152
    增益(dB)–37.6175–40.3846–45.7498–48.2500–43.6255–36.8799–41.7660–49.6858–45.8806
    序號101112131415161718
    p505151515151525252
    q534950515253495051
    增益(dB)–41.8181–37.2718–43.5080–60–45.8777–39.6356–39.5716–45.9265–60
    序號19202122232425
    $p$52525353535353
    $q$52534950515253
    增益(dB)–47.8587–39.4033–43.4406–50.7166–60–51.4716–40.3799
    下載: 導(dǎo)出CSV

    表  6  最大零陷深度約束為55時旁瓣零陷凹面增益(c = 2)

    序號123456789
    p494949494950505050
    q495051525349505152
    增益(dB)–44.8401–46.0399–39.5838–38.3594–45.4208–54.4196–59.5659–43.2692–43.0806
    序號101112131415161718
    p505151515151525252
    q534950515253495051
    增益(dB)–51.9257–41.3720–45.5307–55.5682–49.6248–40.8617–36.9498–40.1514–48.4430
    序號19202122232425
    $p$52525353535353
    $q$52534950515253
    增益(dB)–43.0303–37.3386–35.2466–38.9316–46.3749–42.4130–37.3552
    下載: 導(dǎo)出CSV
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  • 收稿日期:  2019-09-10
  • 修回日期:  2019-11-28
  • 網(wǎng)絡(luò)出版日期:  2020-01-11
  • 刊出日期:  2020-06-04

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