The Sampling Theorem Calculator is a specialized tool designed to help users determine the minimum sampling rate required to accurately reconstruct a continuous signal from its discrete samples. This is based on the Nyquist-Shannon Sampling Theorem, a fundamental principle in signal processing and digital communications.

Usage Guidance:

• Enter the highest frequency component (in Hz) of the signal you wish to sample.
• The calculator will compute the Nyquist rate, which is twice the highest frequency of the signal.
• For practical applications, a sampling rate higher than the Nyquist rate is often recommended to account for real-world imperfections.

Example:

If you have an audio signal with a maximum frequency of 20 kHz, the calculator will output a Nyquist rate of 40 kHz. In practice, audio CDs use a sampling rate of 44.1 kHz to ensure high-quality reproduction.

Key Considerations:

• Aliasing: Sampling below the Nyquist rate can cause distortion or aliasing, where higher frequencies appear as lower frequencies.
• Anti-aliasing Filter: Always use an anti-aliasing filter to remove frequencies above the Nyquist rate before sampling.
• Bandwidth: The theorem assumes the signal is band-limited, meaning it has no frequency components above a certain limit.