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Characterization of digital waveforms using thermodynamic analogs: applications to detection of materials defects

机译:使用热力学类似物表征数字波形:在检测材料缺陷中的应用

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摘要

We describe characterization of digital signals using analogs of thermodynamic quantities: the topological entropy, Shannon entropy, thermodynamic energy, partition function, specific heat at constant volume, and an idealized version of Shannon entropy in the limit of digitizing with infinite dynamic range and sampling rate. We show that analysis based on these quantities is capable of detecting differences between digital signals that are undetectable by conventional methods of characterization based on peak-to-peak amplitude or signal energy. We report the results of applying thermodynamic quantities to a problem from nondestructive materials evaluation: detection of foreign objects (FO) embedded near the surface of thin graphite/epoxy laminates using backscattered waveforms obtained by C-scanning the laminate. The characterization problem was to distinguish waveforms acquired from the region containing the FO from those acquired outside. In all cases the thermodynamic analogs exhibit significant increases (up to 20-fold) in contrast and for certain types of FO materials permit detection when energy or amplitude methods fail altogether.
机译:我们使用热力学量的类似物描述数字信号的表征:拓扑熵,香农熵,热力学能量,分配函数,恒定体积的比热以及在无限动态范围和采样率进行数字化的极限中的香农熵的理想化版本。我们表明,基于这些量的分析能够检测数字信号之间的差异,而这些差异是基于峰-峰幅度或信号能量的常规表征方法无法检测到的。我们报告了将热力学量应用于无损材料评估问题的结果:使用C扫描层压板获得的反向散射波形检测嵌入在薄石墨/环氧树脂层压板表面附近的异物(FO)。表征问题是将包含FO的区域获取的波形与外部获取的波形区分开。在所有情况下,热力学类似物的对比度都显着提高(最高20倍),并且对于某些类型的FO材料,当能量或振幅方法完全失败时,可以进行检测。

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