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A continuous-time signal x(t) is sampled at f_s Hz. By the Nyquist-Shannon theorem, reconstruction is exact when which holds?
Af_s > 2·B where B = highest frequency present
Bf_s > B/2 (half of the signal bandwidth)
Cf_s = 0.1·B always for any signal bandwidth
Df_s irrational with respect to bandwidth B
Answer & Solution
Correct answer: A. f_s > 2·B where B = highest frequency present
Nyquist-Shannon (Oppenheim Ch.7): perfect reconstruction needs f_s > 2B (the Nyquist rate). Below this, aliasing folds high frequencies onto low ones.
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