Aliasing-Free Sampling and Complete-Reconstruction Sampling
Ding Zhi-zhong, Zhongfu Ye · Shuju caiji yu chuli · 2005
By analyzing the statement of the sampling theorem, it is pointed out that the aliasing-free-in-frequency-domain sampling and complete-reconstruction-in-time-domain sampling are not identical, and different conditions for fulfilling each sampling are formalated. Therefore this paper gives full answers, i.e. the lowest sampling frequency is the twice of the highest signal frequency. This paper analyzes further the sampling and reconstruction of sinusoidal signal since it is a typical situation where the problem of lowest sampling frequency arises, and reveals how the phase information of sinusoidal signal is lost when the sampling frequency is equal to the twice of the signal frequency. Conclusions are also useful in actual applications when the lowest sampling frequency is considered.