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A Fast Estimation Method for the Phase Difference Between Two Quasi-harmonic Signals for Real-Time Systems

机译:实时系统中两个准谐波信号之间相位差的快速估计方法

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摘要

We propose a new method of phase difference estimation between two quasi-harmonic signals with slowly varying parameters. The proposed method does not require the solution of the overdetermined systems of equations, and it may be calculated in real time. The majority of operations for their calculation can be carried out on fixed-point numbers, and that substantially simplifies algorithm realization on signal processor or FPGA. The method accuracy is near to the Cramer-Rao lower bound within the statistical error for signals with SNR is in the range from 0 to 40 dB. The advantage of the proposed method is the possibility of signal processing with slow frequency and amplitude modulation. We compare proposed method and the method based on sine-wave-fits by numerical simulation.
机译:我们提出了一种在参数缓慢变化的情况下在两个准谐波信号之间进行相位差估计的新方法。所提出的方法不需要求解方程组的超定解,并且可以实时计算。计算的大多数运算都可以在定点数上进行,从而大大简化了在信号处理器或FPGA上的算法实现。对于SNR为0至40 dB的信号,该方法的精度接近统计误差内的Cramer-Rao下限。所提出的方法的优点是可以进行频率和幅度调制慢的信号处理。通过数值模拟,比较了提出的方法和基于正弦波拟合的方法。

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