论文标题
部分可观测时空混沌系统的无模型预测
An Adaptive Strain Estimation Algorithm Using Short Term Cross Correlation Kernels and 1.5D Lateral Search
论文作者
论文摘要
储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。
Adaptive stretching, where the post compression signal is iteratively stretched to maximize the correlation between the pre and post compression rf echo frames, has demonstrated superior performance compared to gradient based methods. At higher levels of applied strain however, adaptive stretching suffers from decorrelation noise and the image quality deteriorates significantly. Reducing the size of correlation windows have previously showed to enhance the performance in a speckle tracking algorithm but a correlation filter was required to prevent peak hopping errors. In this paper, we present a novel strain estimation algorithm which utilizes an array of overlapping short term cross correlation kernels which are about one-fourth the size of a typical large kernel, to implement an adaptive stretching algorithm. Our method does not require any supplementary correlation filter to prevent false peak errors. Additionally, a lateral search is incorporated using 1.5D algorithm to account for the mechanically induced lateral shift. To validate the efficacy of our proposed method we analyzed the results using simulation and in-vivo data of breast tumors. Our proposed method demonstrated a superior performance compared to classical adaptive stretching algorithm in both qualitative and quantitative assessment. Strain SNRe, CNRe and image resolution are found to improve significantly. Lesion's shape and boundary are more clearly depicted. The results of improvement are clearly evident at higher levels of applied strain.