1. What is Nyquist Frequency?

Definition: The Nyquist frequency is the highest frequency that can be accurately represented in a digital signal, equal to half the sampling rate.

Purpose: It's fundamental in digital signal processing to prevent aliasing and ensure accurate signal reconstruction.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( f_{Nyquist} \) — Nyquist frequency (Hertz, Hz)
• \( f_s \) — Sampling frequency (Hertz, Hz)

Explanation: The sampling frequency is divided by 2 to determine the maximum frequency that can be represented without aliasing.

3. Importance of Nyquist Frequency

Details: Proper understanding of Nyquist frequency helps in designing anti-aliasing filters and ensuring signal integrity in digital systems.

4. Using the Calculator

Tips: Enter the sampling frequency in Hertz (Hz). The value must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is Nyquist frequency half the sampling rate?
A: Because you need at least two samples per cycle to accurately represent a waveform (one for the peak, one for the trough).

Q2: What happens if a signal exceeds the Nyquist frequency?
A: Aliasing occurs, where higher frequencies appear as lower frequencies in the sampled signal.

Q3: How do I prevent aliasing?
A: Use an anti-aliasing filter before sampling to remove frequencies above the Nyquist frequency.

Q4: What's a typical sampling frequency for audio?
A: 44.1 kHz (CD quality), which gives a Nyquist frequency of 22.05 kHz.

Q5: Does Nyquist frequency apply to all sampling systems?
A: Yes, it's a fundamental principle of all digital sampling systems.