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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Evaluation of the transverse oscillation method using the cramer???rao lower bound
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Evaluation of the transverse oscillation method using the cramer???rao lower bound

机译：使用Cramer ??? rao下界评估横向振荡方法

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摘要

The transverse oscillation method enables lateral displacement tracking by generating an oscillation orthogonal to the conventional RF signal. The widely varying methods used in the field to create such oscillations and perform displacement estimation make it difficult to compare the expected performance of alternative techniques. We derive closed-form expressions for the oscillating pressure fields produced by two common apodization functions???the rectangular and bi-lobed Gaussian apodizations???after heterodyning demodulation is applied to separate the orthogonally-oscillating signals. With these fields and spectra we present a form of the Cramer???Rao lower bound for ultrasonic signals that contains a spectrum shape term, allowing theoretical prediction of relative performance across different techniques and parameter choices. Simulations show good agreement with the trends predicted by the theoretical results for the chosen class of aperture functions. The simulations demonstrate the importance of frequencyspace analysis in devising a transverse oscillation scheme and suggest that the study of other classes of aperture functions and field formation techniques should be continued to further improve the accuracy of lateral displacement tracking.
机译：横向振荡方法通过产生与常规RF信号正交的振荡来实现横向位移跟踪。在该领域中使用广泛的方法来产生这种振荡并执行位移估计，这使得很难比较替代技术的预期性能。我们应用了杂散解调来分离正交振荡信号后，得出了由两个常见的变迹函数（矩形和双瓣高斯变迹）产生的振荡压力场的封闭形式。利用这些场和频谱，我们为超声信号提供了一种Cramer ??? Rao下界的形式，其中包含频谱形状项，从而可以对不同技术和参数选择之间的相对性能进行理论预测。对于所选的孔径函数，仿真结果与理论结果所预测的趋势非常吻合。仿真结果证明了频率空间分析在设计横向振荡方案中的重要性，并建议应继续研究其他类别的孔径函数和场形成技术，以进一步提高横向位移跟踪的精度。

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