Nyquist Frequency Calculator

Enter your Sampling Frequency and Signal Frequency (with your chosen Frequency Unit) to calculate the Nyquist Frequency, check the Aliasing Status of your signal, and find the Perceived Frequency and Minimum Sampling Rate needed to capture it cleanly.

Hz

The frequency at which the signal is sampled

Hz

The frequency of the input signal to be sampled

Results

Nyquist Frequency

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Aliasing Status

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Perceived Frequency

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Minimum Sampling Rate

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Frequency Analysis

Frequently Asked Questions

What is the Nyquist frequency?

The Nyquist frequency is half of the sampling rate of a digital signal processing system. It represents the highest frequency that can be accurately represented in the sampled signal without aliasing.

How do I calculate the minimum sampling rate?

According to the Nyquist-Shannon sampling theorem, the minimum sampling rate must be at least twice the highest frequency component in the signal. This is called the Nyquist rate.

What happens when aliasing occurs?

Aliasing occurs when the signal frequency exceeds the Nyquist frequency. The signal appears at a lower frequency in the sampled data, causing distortion and loss of the original signal information.

Why is 44.1 kHz used for CD audio?

CD audio uses 44.1 kHz sampling because human hearing extends up to about 20 kHz. The 44.1 kHz rate provides a Nyquist frequency of 22.05 kHz, safely above the audible range with room for anti-aliasing filters.

What is oversampling and why is it used?

Oversampling uses a sampling rate much higher than the Nyquist rate. It reduces noise, simplifies anti-aliasing filter design, and improves the signal-to-noise ratio in the final output.

How does the Nyquist frequency relate to ADC and DAC performance?

In ADC and DAC systems, the Nyquist frequency determines the maximum input frequency that can be converted without aliasing. It's crucial for analyzing dynamic performance and harmonic distortion.

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