Which of the following statements is presented as a typical relationship between Fc and Fs in sampling?

• A. Fc = Fs
• B. Fc = 2*Fs
• C. Fc = Fs/2
• D. Fs = 10*Fh

Answer: (D)

The key idea is how often you should sample a signal relative to its highest frequency content. According to the Nyquist criterion, you must sample at least twice as fast as the highest frequency component to avoid aliasing. In practice, though, real systems add margins for non-ideal filters and reconstruction, so engineers often choose a sampling rate well above the bare minimum—commonly around ten times the highest frequency present in the signal. That conservative rule-of-thumb is why the relationship Fs = 10·Fh is considered typical: it communicates a substantial safety margin between the signal’s highest frequency and the sampling rate, reducing distortion and making reconstruction easier. The exact requirement is still Fs ≥ 2·Fmax, but 10× is a common design choice to ensure clean sampling and reconstruction.