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《遥测技术》第5卷第1期“对采样定理的一个小修正”(下简称《小修正》)一文中,提出采样频率f_s应大于信号最大频率f_c的2倍,而不是大于等于。这个问题还值得商榷。《小修正》提出第一个论据(见图1及图2)认为:一个直流信号(图1 a)在取样周期为T的取样脉冲(图1 c)取样后,它的频谱是周期为_T~1的脉冲串(图1d)。图1b画出了它的
In “Telemetry” Volume 5, Number 1, “A Small Revision to the Sampling Theorem,” it is proposed that the sampling frequency f_s should be greater than 2 times, not greater than or equal to, the maximum frequency of the signal f_c. This issue is also debatable. The first argument (see Figure 1 and Figure 2) suggests that a DC signal (Figure 1a) is sampled at a sampling pulse of sampling period T (Figure 1c) and its spectrum is of period T ~ 1 pulse train (Figure 1d). Figure 1b shows it