【摘要】 在虚拟仪器的技术基础上,提出了一种新的高精度反映被测信号的方法。这种方法利用高速数据采样技术对被测的正弦信号进行数据采集,然后利用采样数据对正弦函数的幅值和相位进行最小二乘法函数插值。由于最小二乘插值法不要求完全经过采样点数据,又具有连续性,所以能很好的滤除被测信号的突变点。仿真实验表明,在信噪比低于或略高于2%的条件下,当采样频率和被测信号频率比值为3倍时,就能高精度反映被测信号,并且精度高于直接利用三次样条插值的方法,又具有更高的光滑性。该算法简单、快速、具有一定的工程应用前景。更多还原

【Abstract】 On the basis of virtual instruments, a new high-precision approach of reflecting the measured signal has been developed. The method uses the high-speed data sampling technique to obtain the data of sine signal, then fitting the amplitude and phase of sine by the least square interpolation method. Because the method of least squares interpolation is not to request completely to pass through all sampling data, also has the continuity, so the method can very good filtering the signal point of discontinuity. The simulation experimental results indicate that, is less or slightly higher than 2% condition in the signal to noise ratio, when the sampling frequency and the measured signal frequency ratio is 3 times, the measured signal can highly accuracy reflected, and the precision is higher than the method of cubic spline interpolation, also has a higher smoothness. The method has good prospects in engineering because of its simplicity and time saving.更多还原