Calculateur de Rapport Signal sur Bruit

Calculez le rapport signal sur bruit (SNR) de votre système.

Hz
Hz

Aliased Frequency

14,100 Hz

Nyquist Frequency22,050 Hz
Is Signal Aliased?1

Aliased Frequency vs Sampling Rate

Formule

## How Aliasing Works When a signal exceeds the Nyquist frequency (half the sampling rate), it "folds" back into the representable range, appearing as a lower frequency. ### Formula The aliased frequency is found by folding the signal into the first Nyquist zone: **f_alias = |f_signal - round(f_signal / f_sample) x f_sample|** If this result is above Nyquist, subtract from the sampling rate. ### Example A 30 kHz tone sampled at 44.1 kHz aliases to 14.1 kHz (44.1 - 30 = 14.1 kHz).

Exemple Résolu

A 30 kHz signal sampled at 44.1 kHz.

  1. 01Nyquist: 44,100 / 2 = 22,050 Hz
  2. 0230,000 > 22,050, so aliasing occurs
  3. 03Alias: |30,000 - 1 x 44,100| = 14,100 Hz
  4. 04The 30 kHz signal appears as 14,100 Hz

Questions Fréquentes

Can I remove aliasing after sampling?

No. Once aliased, the false frequency is indistinguishable from a real signal at that frequency. Prevention (anti-aliasing filters) is the only solution.

Is aliasing always harmful?

Usually yes, but some systems exploit it intentionally (e.g., undersampling/bandpass sampling in RF receivers).

What is an anti-aliasing filter?

A low-pass filter placed before the ADC that removes frequencies above the Nyquist frequency to prevent aliasing.

Apprendre

Ohm's Law Guide

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