Velichko A, Croxford A J
Department of Mechanical Engineering, University of Bristol, Queens Building, University Walk, Bristol BS8 1TR, UK.
Proc Math Phys Eng Sci. 2018 Oct;474(2218):20180451. doi: 10.1098/rspa.2018.0451. Epub 2018 Oct 17.
Ultrasonic phased arrays have produced major benefits in a range of fields, from medical imaging to non-destructive evaluation. The maximum information, which can be measured by an array, corresponds to the Full Matrix Capture (FMC) data acquisition technique and contains all possible combinations of transmitter-receiver signals. However, this method is not fast enough for some applications and can result in a very large volume of data. In this paper, the problem of optimal array data acquisition strategy is considered, that is, how to make the minimum number of array measurements without loss of information. The main result is that under the single scattering assumption the FMC dataset has a specific sparse structure, and this property can be used to design an optimal data acquisition method. An analytical relationship between the minimum number of array firings, maximum steering angle and signal-to-noise ratio is derived, and validated experimentally. An important conclusion is that the optimal number of emissions decreases when the angular aperture of the array increases. It is also shown that plane wave imaging data are equivalent to the FMC dataset, but requires up to an order of magnitude fewer array firings.
超声相控阵在从医学成像到无损检测等一系列领域都带来了重大益处。阵列能够测量的最大信息量对应于全矩阵采集(FMC)数据采集技术,且包含发射 - 接收信号的所有可能组合。然而,这种方法对于某些应用来说速度不够快,并且可能导致数据量非常大。本文考虑了最优阵列数据采集策略的问题,即如何在不损失信息的情况下进行最少次数的阵列测量。主要结果是,在单次散射假设下,FMC数据集具有特定的稀疏结构,并且该特性可用于设计一种最优数据采集方法。推导了阵列发射最少次数、最大扫描角度和信噪比之间的解析关系,并通过实验进行了验证。一个重要的结论是,当阵列的角孔径增大时,最优发射次数会减少。研究还表明,平面波成像数据与FMC数据集等效,但所需的阵列发射次数要少一个数量级。