点击蓝字关注我们01著名的Nyquist采样定理尽管大家都知道,但还是提一提。大牛奥本海姆的《信号与系统》中是这样描述的:Let x(t) be a band-limited signal with X(jw) = 0 for |w|> wM. Then x(t) is uniquely determined by its samples x(nT),n=1,±1,±2,...,ifws> 2wMwhere ws= 2 pi/T.Given these samples, we can reconstruct x(t) by generating a periodic impluse train in which successive impluse have amplitudes that are successive sample values. This impluse train is then processed through an ideal lowpass filter with gain T and cutoff frequency greater than wMand less than ws-wM. The resulting output signal will exactly equal x(t).来捋一捋,几个点:带宽有限(band-limited) 采样频率大于2倍信号最高频率后可以无失真的恢复出原始信号。实际中,信号往往是无线带宽的,如何保证带宽有限?所以,
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