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Evaluation of an Extended Autocorrelation Phase Estimator for Ultrasonic Velocity Profiles Using Nondestructive Testing Systems

机译:使用无损检测系统评估超声速度分布的扩展自相关相位估计器

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In this paper the extended autocorrelation velocity estimator is evaluated and compared using a nondestructive ultrasonic device. For this purpose, three velocity estimators are evaluated and compared. The autocorrelation method (ACM) is the most used and well established in current ultrasonic velocity profiler technology, however, the technique suffers with phase aliasing (also known as the Nyquist limit) at higher velocities. The cross-correlation method (CCM) is also well known and does not suffer with phase aliasing as it relies on time shift measurements between emissions. The problem of this method is the large computational burden due to several required mathematical operations. Recently, an extended autocorrelation method (EAM) which combines both ACM and CCM was developed. The technique is not well known within the fluid engineering community, but it can measure velocities beyond the Nyquist limit without the ACM phase aliasing issues and with a lower computational cost than CCM. In this work, all three velocity estimation methods are used to measure a uniform flow of the liquid inside a controlled rotating cylinder. The root-mean-square deviation variation coefficient ( CV RMSD ) of the velocity estimate and the reference cylinder velocity was used to evaluate the three different methods. Results show that EAM correctly measures velocities below the Nyquist limit with less than 2% CV RMSD . Velocities beyond the Nyquist limit are only measured well by EAM and CCM, with the advantage of the former of being computationally 15 times faster. Furthermore, the maximum value of measurable velocity is also investigated considering the number of times the velocity surpasses the Nyquist limit. The combination of number of pulses and number of samples, which highly affects the results, are also studied in this work. Velocities up to six times the Nyquist limit could be measurable with CCM and EAM using a set of parameters as suggested in this work. The results validate the use of the NDT tool to measure velocities even beyond Nyquist limit by using EAM.
机译:在本文中,使用无损超声设备评估并比较了扩展的自相关速度估计器。为此,对三个速度估算器进行了评估和比较。自相关方法(ACM)是当前超声速度分析仪技术中使用最广泛且最完善的方法,但是,该技术在较高速度下会遭受相位混叠(也称为奈奎斯特极限)的困扰。互相关方法(CCM)也是众所周知的,并且不受相位混叠的困扰,因为它依赖于发射之间的时移测量。该方法的问题是由于需要几个数学运算而导致计算量大。最近,开发了一种结合了ACM和CCM的扩展自相关方法(EAM)。该技术在流体工程界尚不为人所知,但是它可以测量超过Nyquist极限的速度,而没有ACM相混叠问题,并且计算成本低于CCM。在这项工作中,所有三种速度估算方法均用于测量受控旋转缸内液体的均匀流量。速度估计的均方根偏差变化系数(CV RMSD)和参考气缸速度用于评估三种不同的方法。结果表明,EAM可以正确测量低于Nyquist极限的速度,且CV RMSD小于2%。超出奈奎斯特极限的速度只能通过EAM和CCM很好地测量,而前者的优势是计算速度快15倍。此外,考虑速度超过奈奎斯特极限的次数,还研究了可测量速度的最大值。在这项工作中,还研究了脉冲数量和样本数量的组合,这对结果有很大影响。使用这项工作中建议的一组参数,使用CCM和EAM可以测量高达奈奎斯特极限六倍的速度。结果验证了使用EDT使用NDT工具测量速度甚至超过Nyquist极限的情况。

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