Shannon Sampling Theorem
What condition is required for Shannon's sampling theorem to accurately reconstruct an analog signal from discrete sample points?
Expand Hint
The Nyquist sampling, or Nyquist-Shannon theorem is a fundamental theoretical principle that governs the design of mix signal systems.
Hint 2
When a continuous-time or analog signal is sampled using a discrete-time method, certain basic concepts should be considered. The sampling rate or frequency is:
$$$f_s=\frac{1}{\Delta t}$$$
The Nyquist sampling, or Nyquist-Shannon theorem is a fundamental theoretical principle that governs the design of mix signal systems. When a continuous-time or analog signal is sampled using a discrete-time method, certain basic concepts should be considered. The sampling rate or frequency is:
$$$f_s=\frac{1}{\Delta t}$$$
If a system uniformly samples an analog signal at a rate that exceeds the signal's highest frequency by at least a factor of 2, the original analog signal can be accurately reconstructed from the discrete sample points:
$$$f_s>2f_N$$$
where
$$f_s$$
is the sampling rate or frequency, and
$$f_N$$
is the Nyquist frequency which is the highest frequency contained in a measured signal.
In other words, Nyquist's (Shannon's) sampling theorem states that in order to accurately reconstruct the analog signal from the discrete sample points, the sample rate must be larger than twice the highest frequency contained in the measured signal.
The sample rate must be 2X larger than the highest frequency contained in the measured signal:
$$$f_s>2f_N$$$
Time Analysis
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Similar Problems from FE Section: Sampling
617. Nyquist’s Theorem