What is the Nyquist rate?

The Nyquist rate is the minimum sampling frequency required to represent a signal without aliasing. It equals exactly twice the highest frequency component in the signal: f_s,min = 2 × f_max.

What is the sampling period?

The sampling period T is the time between consecutive samples. It is the reciprocal of the sampling rate: T = 1 / f_s. For a 44.1 kHz audio system, T ≈ 22.68 microseconds.

Aliasing occurs when a signal is sampled at a rate below the Nyquist minimum. High-frequency components fold back into the baseband and appear as false lower-frequency signals, corrupting the digital output.

Why do real systems oversample beyond the Nyquist minimum?

Ideal brick-wall anti-aliasing filters are not physically realizable. Practical filters have a gradual roll-off, so engineers add oversampling margin (typically 1.5× to 10× the Nyquist rate) to allow the filter to attenuate out-of-band frequencies before they alias.

What is the maximum frequency a sampling rate can represent?

A system sampling at f_s can accurately represent signals up to f_s / 2, known as the Nyquist frequency. Frequencies above this limit alias to lower frequencies in the digital output.

Sampling Rate Calculator

Name: Sampling Rate Calculator
Availability: InStock
Author: Nham Vu

Enter a sampling rate or signal frequency to get the Nyquist rate, sampling period, and aliasing thresholds for DSP design.

Sampling Parameters

Sampling Rate (f_s) (optional)

Max Signal Frequency (f_max) (optional)

Quick Presets

Enter at least one value and press Calculate

Summary

Enter a sampling rate or signal frequency to get the Nyquist rate, sampling period, and aliasing thresholds for DSP design.

How it works

Choose your input mode: enter a sampling rate or a signal frequency.
Type the frequency value and select the unit (Hz, kHz, MHz, or GHz).
The calculator applies the Nyquist-Shannon theorem: f_s,min = 2 × f_max.
Sampling period T is computed as T = 1 / f_s.
Maximum representable frequency is f_max = f_s / 2 (the Nyquist frequency).
Optionally enter both values to check whether aliasing will occur.

Use cases

Selecting an ADC sampling clock for audio, RF, or sensor applications.
Verifying that a data-acquisition system captures all relevant signal content.
Computing the sampling period for microcontroller timer configuration.
Checking whether a proposed sampling rate satisfies the Nyquist criterion.
DSP coursework: exploring the relationship between sample rate and bandwidth.
Oscilloscope setup: confirming sample rate is sufficient for the measured signal.
Medical devices: sizing ECG or EEG digitizer clocks for clinical bandwidth.
Communications: calculating IF sampling requirements for software-defined radio.

Frequently Asked Questions

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Last updated: 2026-05-23 · Reviewed by Nham Vu