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Nyquist Sampling Formula:
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The Nyquist Sampling Frequency is the minimum sampling rate required to accurately reconstruct a continuous signal from its samples without aliasing. It is defined as twice the highest frequency component of the signal being sampled.
The calculator uses the Nyquist sampling formula:
Where:
Explanation: The Nyquist theorem states that to avoid aliasing and perfectly reconstruct a signal, the sampling frequency must be at least twice the highest frequency component present in the signal.
Details: Proper sampling according to the Nyquist criterion is essential in digital signal processing, telecommunications, and audio/video applications to prevent aliasing and ensure accurate signal reconstruction.
Tips: Enter the message signal frequency in Hertz (Hz). The value must be greater than zero. The calculator will compute the minimum required sampling frequency according to the Nyquist theorem.
Q1: What happens if I sample below the Nyquist frequency?
A: Sampling below the Nyquist frequency causes aliasing, where higher frequency components appear as lower frequencies, distorting the reconstructed signal.
Q2: Is the Nyquist frequency the minimum or maximum sampling rate?
A: The Nyquist frequency represents the minimum sampling rate required to avoid aliasing and accurately reconstruct the original signal.
Q3: What is the relationship between Nyquist frequency and bandwidth?
A: For a signal with bandwidth B Hz, the Nyquist sampling rate is 2B samples per second to perfectly reconstruct the signal.
Q4: Are there practical considerations beyond the Nyquist rate?
A: Yes, in practice, sampling rates higher than the Nyquist rate are often used to provide a safety margin and account for non-ideal reconstruction filters.
Q5: Does the Nyquist theorem apply to all types of signals?
A: The Nyquist theorem applies to bandlimited signals - signals whose Fourier transform is zero above a certain maximum frequency.