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Time-domain estimation of the center frequency and spread of Doppler spectra in diagnostic ultrasound

机译:诊断超声中多普勒频谱中心频率和扩展的时域估计

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摘要

Two sets of estimators of the center frequency and mean square bandwidth of a Doppler spectrum are analyzed. The first set is based on a linear combination of the complex autocorrelation of the Doppler signal for different lags. It is shown that the argument (phase angle) of the complex autocorrelation function at unit sample lag is a close approximation to the mean Doppler shift, whereas its modulus (magnitude) gives information about the mean square bandwidth of the spectrum. Approximate expressions for the bias and variance of the estimators are derived, valid for long averaging times. The performances of the estimators are compared for signals with rectangular spectra and different signal-to-noise ratios.
机译:分析了多普勒频谱的中心频率和均方带宽的两组估计器。第一组基于针对不同滞后的多普勒信号的复杂自相关的线性组合。结果表明,单位样本滞后下的复自相关函数的自变量(相位角)非常接近均值多普勒频移,而其模量(幅值)给出了有关频谱均方带宽的信息。得出了估计量的偏差和方差的近似表达式,适用于较长的平均时间。比较具有矩形频谱和不同信噪比的信号的估计器性能。

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