The sampling frequency (which includes sample hold time) must be at least twice the highest signal frequency (preferably higher), in order to avoid "aliasing". This is called the Nyquist criterion.

Question

BlackTom AI · Accepted Answer

The question discusses sampling frequency, sample-and-hold time, and aliasing in relation to the Nyquist criterion.
Option 1 (True): The core idea is that to avoid aliasing, the sampling frequency should be at least twice the highest frequency component of the signal (the Nyquist rate), and it is often beneficial to sample at a rate higher than this to account for practical non-idealities such as non-ideal filters and bandwidth limits. This aligns with the standard statement of the Nyquist criterion and is widely taught in signal processing as the rule of thumb to prevent aliasing.
Option 2 (False): Saying that the sampling frequency must be at least twice the highest signal frequency is incorrect if taken to imply aliasing cannot occur in all cases, because practical systems may have additional factors (like non-ideal anti-aliasing filters, quantization effects, and sample-and-hold dynamics) that require a higher margin than exactly 2x. However, the fundamental Nyquist rule itself is: sampling at 2x the highest frequency is the minimum to avoid aliasing in ideal conditions, and the statement in the question reflects that standard formulation rather than contradicting it.
In summary, the claim presented in the statement corresponds to the conventional Nyquist criterion, acknowledging that in practice you might choose a higher sampling rate for safety margins; the alternative choice would misrepresent the basic principle by asserting a fundamental error where there is none in the ideal sense.

The sampling frequency (which includes sample hold time) must be at least twice the highest signal frequency (preferably higher), in order to avoid "aliasing". This is called the Nyquist criterion.判断题

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