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A spline-based algorithm for continuous time-delay estimation using sampled data

机译:基于样条的采样数据连续时延估计算法

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Time delay estimation (TDE) lies at the heart of signal processing algorithms in a broad range of application areas, including communications, coherent imaging, speech processing, and acoustics. In medical ultrasound for example, TDE is used in blood flow estimation, tissue motion measurement, tissue elasticity estimation, phase aberration correction, and a number of other algorithms. Because of its central significance, TDE accuracy, precision, and computational cost are of critical importance. Furthermore, because TDE is typically performed on sampled signals - and delay estimates are usually desired over a continuous domain - time delay estimator performance should be considered in conjunction with associated interpolation. We present a new time-delay estimator that directly determines continuous time-delay estimates from sampled data. The technique forms a spline-based, piece-wise continuous representation of the reference signal then solves for the minimum of the sum squared error between the reference and the delayed signals to determine their relative time delay. Computer simulation results clearly show that the proposed algorithm significantly outperforms other algorithms in terms of jitter and bias over a broad range of conditions. We also describe a modified version of the algorithm that includes companding with only a minor increase in computational cost.
机译:时延估计(TDE)是广泛应用领域中信号处理算法的核心,包括通信,相干成像,语音处理和声学。例如,在医学超声中,TDE用于血流估计,组织运动测量,组织弹性估计,相差校正以及许多其他算法。由于其至关重要的意义,TDE的准确性,精度和计算成本至关重要。此外,由于TDE通常是在采样信号上执行的,并且通常需要在连续域上进行延迟估计,因此应结合相关的插值来考虑时间延迟估计器的性能。我们提出了一种新的时间延迟估算器,它可以直接从采样数据中确定连续的时间延迟估算。该技术形成了基于样条的参考信号的分段连续表示,然后求解参考信号和延迟信号之间的平方误差的最小值,以确定它们的相对时间延迟。计算机仿真结果清楚地表明,在广泛的条件范围内,所提出的算法在抖动和偏差方面明显优于其他算法。我们还描述了该算法的修改版本,该压缩版本包括压扩并且仅增加了少量计算成本。

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