Sampling

Determine minimum sample rate for continuous sinusoid

Determine minimum sample rate for continuous sinusoid
  1. How do you calculate minimum sampling rate?
  2. What is the minimum sampling rate to avoid aliasing for continuous time signal?
  3. What is the minimum Nyquist sampling rate?
  4. What is the minimum sample frequency needed to reconstruct an analog signal?

How do you calculate minimum sampling rate?

MINIMUM NUMBER OF SAMPLES

f. The sampling theorem states that a real signal, f(t), which is band-limited to f Hz can be reconstructed without error from samples taken uniformly at a rate R > 2f samples per second. This minimum sampling frequency, fs = 2f Hz, is called the Nyquist rate or the Nyquist frequency (6).

What is the minimum sampling rate to avoid aliasing for continuous time signal?

a. According to the Nyquist sampling theorem, the minimum sampling frequency fs to avoid aliasing is 2 times the signal bandwidth ⇒ fs = 6 kHz.

What is the minimum Nyquist sampling rate?

Nyquist's theorem states that a periodic signal must be sampled at more than twice the highest frequency component of the signal. In practice, because of the finite time available, a sample rate somewhat higher than this is necessary. A sample rate of 4 per cycle at oscilloscope bandwidth would be typical.

What is the minimum sample frequency needed to reconstruct an analog signal?

The Sampling Theorem states that a signal can be exactly reproduced if it is sampled at a frequency F, where F is greater than twice the maximum frequency in the signal. The sampling rate for an analog signal must be at least two times as high as the highest frequency in the analog signal in order to avoid aliasing.

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