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Linear system models for ultrasonic imaging: application to signal statistics

机译:超声成像线性系统模型:在信号统计中的应用

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摘要

Linear equations for modeling echo signals from shift-variant systems forming ultrasonic B-mode, Doppler, and strain images are analyzed and extended. The approach is based on a solution to the homogeneous wave equation for random inhomogeneous media. When the system is shift-variant, the spatial sensitivity function-defined as a spatial weighting function that determines the scattering volume for a fixed point of time-has advantages over the point-spread function traditionally used to analyze ultrasound systems. Spatial sensitivity functions are necessary for determining statistical moments in the context of rigorous image quality assessment, and they are time-reversed copies of point-spread functions for shift variant systems. A criterion is proposed to assess the validity of a local shift-invariance assumption. The analysis reveals realistic situations in which in-phase signals are correlated to the corresponding quadrature signals, which has strong implications for assessing lesion detectability. Also revealed is an opportunity to enhance near- and far-field spatial resolution by matched filtering unfocused beams. The analysis connects several well-known approaches to modeling ultrasonic echo signals.
机译:分析和扩展了用于建模来自形成超声B型,多普勒和应变图像的位移变量系统的回波信号的线性方程。该方法基于针对随机非均匀介质的齐次波动方程的解。当系统变化时,空间灵敏度函数定义为确定固定时间点散射体积的空间加权函数,它比传统上用于分析超声系统的点扩散函数具有优势。空间敏感度函数对于在严格的图像质量评估中确定统计矩必不可少,并且它们是变速变体系统点扩展函数的时间反转副本。提出了一个评估局部平移不变假设有效性的标准。分析揭示了现实情况,其中同相信号与相应的正交信号相关,这对评估病变的可检测性具有重要意义。还揭示了通过匹配滤波未聚焦光束来增强近场和远场空间分辨率的机会。该分析连接了几种众所周知的超声回波信号建模方法。

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