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Nyquist Sampling Frequency 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. According to the Nyquist-Shannon sampling theorem, this frequency must be at least twice the highest frequency component of the signal.
The calculator uses the Nyquist sampling formula:
Where:
Explanation: The formula ensures that the sampling rate is sufficient to capture all frequency components of the signal without distortion.
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 maximum frequency component of your signal in Hz. The value must be greater than zero. The calculator will compute the minimum required sampling frequency.
Q1: What happens if I sample below the Nyquist rate?
A: Sampling below the Nyquist rate causes aliasing, where higher frequencies appear as lower frequencies, distorting the reconstructed signal.
Q2: Is the Nyquist rate always exactly 2×f_max?
A: Yes, the Nyquist theorem states that the sampling frequency must be at least twice the highest frequency component to avoid aliasing.
Q3: What is the practical implication of the Nyquist theorem?
A: In practice, engineers often sample at rates higher than the Nyquist frequency (oversampling) to provide a safety margin and make filtering easier.
Q4: How do I determine f_max for my signal?
A: f_max is determined through frequency analysis of your signal using tools like Fourier transforms or by knowing the bandwidth limitations of your signal source.
Q5: Does the Nyquist theorem apply to all types of signals?
A: The theorem applies to bandlimited signals - signals whose Fourier transform is zero above a certain frequency. For signals with infinite bandwidth, some aliasing is unavoidable.