基于非均匀同步采样的周期信号重构

基于适用于周期信号的一种非均匀同步采样方法,推导了利用非均匀采样值恢复原周期信号的内插重构算法. 重构的关键在于将非均匀采样信号分解为几个均匀采样信号的叠加,从而使得在非均匀采样时应用Shannon采样定理成为可能. 由于这种非均匀采样法不存在实际采样点偏离采样点理论计算值的弊端, 从而提高了内插公式的计算精度.该算法具有结构简单和计算精度高的特点, 数值实验的结果也验证了算法具有这些优点. 该算法在电网监测系统中具有实际应用意义.

Reconstruction of periodic signals based on non-uniformity synchronous sampling

On the basis of a non-uniformity synchronous sampling method which is applicable to periodic signal, an interpolation algorithm that restores the original signal using non-uniformity sampling value is derived. The key of the reconstruction is to substitute the non-uniformity sampling signal for the superposition of several uniformity sampling signals, which make it possible using Shannon theorem. Compared with the uniform synchronous sampling, the actual sampling points do not deviate from theoretic value via non-uniform sampling method. The simulation results show that not only the construction of the algorithm is simpler but also the accuracy of interpolation algorithm is enhanced. This algorithm can be applied extensively in the power supply monitoring system.