非凸的稀散光束变形器
Jeunghoon Lee1, Yongsung Park2, Peter Gerstoft3
1School of Mechanical Engineering, Changwon National University, Uichang-gu, Changwon, 51140, South Korea.
The Journal of the Acoustical Society of America
|May 2, 2025
概括
在稀疏光束成形中,新的非凸处罚 (NCP) 改善了源幅度估计. 非凸的合最小绝对收缩和选择操作员 (NFL) 方法准确地回收点和延伸源的振幅,克服了传统稀疏光束成型的局限性.
科学领域:
- 信号处理 信号处理
- 阵列信号处理 阵列信号处理
- 计算电磁学 计算机电磁学
背景情况:
- 像LASSO和FL这样的稀疏光束成形方法通常低估源振幅,因为l1-规范规范化的软值效应.
- 这种幅度低估是准确表征源的重要局限,特别是扩展的源.
研究的目的:
- 引入一套新型的非凸调节器 (NCP),旨在减轻稀疏光束成形中的振幅偏差.
- 开发和验证非形合最小绝对收缩和选择操作员 (NFL) 方法,该方法可以保持稀疏性和光滑性,同时改善振幅恢复.
主要方法:
- 将非凸处罚 (NCP) 集成到合并的最小绝对收缩和选择操作员 (FL) 框架中,以创建NFL模型.
- 使用近接运算符来有效处理非凸的处罚.
- 使用乘数 (ADMM) 的交替方向方法解决NFL模型.
主要成果:
- 拟议的NFL方法有效地减少了大系数的收缩,从而可以更准确地估计源幅度.
- 与现有的稀疏光束成形技术相比,对点光源和扩展光源的振幅恢复有明显的改善.
- 该NFL方法成功地保持了所需的稀疏性和源资料的光滑性.
结论:
- 开发的非凸合最小绝对收缩和选择运算符 (NFL) 在稀疏梁成形方面取得了重大进展.
- 这种方法克服了传统的基于l1规范的稀疏光束成形技术中固有的振幅低估问题.
- 在各种场景中,NFL为准确的源幅估计提供了强大的解决方案,包括扩展源.
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