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Nyquist Frequency Formula:
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The Nyquist frequency is the highest frequency that can be accurately represented in a digital signal when sampled at a given rate. It is equal to half of the sampling frequency (f_s/2) and is a fundamental concept in signal processing and digital communications.
The calculator uses the Nyquist frequency formula:
Where:
Explanation: The Nyquist frequency represents the maximum frequency that can be accurately sampled without aliasing according to the Nyquist-Shannon sampling theorem.
Details: Understanding and calculating the Nyquist frequency is crucial for proper signal sampling, preventing aliasing effects, and ensuring accurate digital representation of analog signals in various applications including audio processing, telecommunications, and data acquisition systems.
Tips: Enter the sampling frequency in Hz. The value must be positive and greater than zero. The calculator will compute the corresponding Nyquist frequency.
Q1: What happens if a signal contains frequencies above the Nyquist frequency?
A: Frequencies above the Nyquist frequency will cause aliasing, where higher frequencies are misrepresented as lower frequencies in the digital signal.
Q2: How can aliasing be prevented?
A: Aliasing can be prevented by using an anti-aliasing filter before sampling to remove frequencies above the Nyquist frequency.
Q3: Is the Nyquist frequency the same as the sampling rate?
A: No, the Nyquist frequency is exactly half of the sampling rate (f_s/2), not the sampling rate itself.
Q4: Why is it called the Nyquist frequency?
A: It is named after Harry Nyquist, a Swedish-American engineer who made important contributions to information theory and signal processing.
Q5: Can the Nyquist frequency be exceeded in practical applications?
A: In practical applications, signals should be bandlimited to frequencies below the Nyquist frequency before sampling to avoid aliasing artifacts.