Accelerating near-field 3D imaging approach for joint high-resolution imaging and phase error correction

Accelerating near-field 3D imaging approach for joint high-resolution imaging and phase error correction
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加速近场 3D 成像方法,实现联合高分辨率成像和相位误差校正

DOI:
10.1007/s11045-017-0546-0
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发表时间:
2017-12
影响因子:
2.5
通讯作者:
Wang Shuzhen
Wang Shuzhen
中科院分区:
工程技术4区
文献类型:
--
作者:
Fang Yang;Wang Baoping;Sun Chao;Song Zuxun;Wang Shuzhen

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大规模数据的计算复杂度和存储需求严重影响了压缩感知在近场三维成像系统中的应用。此外,由于测量环境的影响,回波相位的误差导致成像散焦。提出了一种基于非均匀快速傅里叶变换和相位误差校正的压缩感知近场三维成像方法。该方法采用快速高斯网格非均匀快速傅里叶变换技术和矩阵与向量相乘的可分离替代泛函,加快了成像速度,降低了存储需求;采用相位误差校正技术实现了高聚焦成像;提出了一种基于Logistic序列的稀疏观测方法,便于工程实现。数值分析和暗室实测表明,与传统的成像方法相比,本文方法具有以下优点:利用少量的观测数据(10%)就能获得目标的高分辨率精确三维图像,计算复杂度从O(LN)降到O(3 N),内存占用量从O(LN)降到O(N);该方法能有效地对存在相位误差的回波信号进行高聚焦成像,所设计的测量矩阵具有较好的非相干性,易于工程实现。
The computational complexity and memory requirements of large-scale data seriously affect the application of compressed sensing (CS) in near-field three-dimensional (3-D) imaging system. In addition, as influenced by the measurement environment, the error in echo phase results in imaging defocusing. This paper proposes a CS near-field 3-D imaging approach based on nonuniform fast Fourier transform and phase error correction. It applies the fast Gaussian gridding nonuniform fast Fourier transform technique and Separable Surrogate Functionals with only matrix and vector multiplied to accelerate imaging speed and reduce memory requirements; it adopts the phase error correction technique to realize highly-focused imaging; in addition, a sparse observation approach based on Logistic sequence is proposed in this paper for easy availability of engineering realization for CS imaging. As indicated by numerical analysis and actual measurement in anechoic chamber, the approach proposed in this paper, compared with traditional imaging approaches, has the following advantages: accurate high resolution 3-D image of target can be obtained by applying small amount of observation data (10%); the computational complexity falls fromO(LN) toO(3N) and memory occupation quantity drops fromO(LN) toO(N); it can effectively perform highly-focused imaging for echo signal with phase error; the measurement matrix designed has better non-coherence and easy availability for engineering realization.
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