Sampling & Nyquist Calculator
Free signal processing tool for sampling rate analysis and aliasing detection
Sampling & Nyquist Calculator
Professional signal processing calculator for sampling rate analysis and aliasing detection
Perfect for digital signal processing, ADC design, and signal analysis applications
Signal Frequency & Sampling Parameters
Common Examples
Nyquist Theorem
The Nyquist-Shannon sampling theorem states that a signal can be perfectly reconstructed if sampled at a rate greater than twice its highest frequency component.
Key Terms:
- Nyquist Rate: 2 × signal frequency
- Aliasing: Distortion from undersampling
- Oversampling: Sampling above Nyquist rate
Key Formulas
Nyquist Rate:
Oversampling Ratio:
Alias Frequency:
Usage Tips
• Always sample at least 2× signal frequency
• Higher oversampling improves SNR
• Use anti-aliasing filters for real signals
• Consider bandwidth for complex signals
• Aliasing creates false frequency components
Sampling Parameters
Examples
Quick Reference
Nyquist Theorem:
Key Points:
- • Sample at least 2× signal frequency
- • Aliasing occurs when undersampled
- • Oversampling improves signal quality
About Sampling & Nyquist Rate Calculations
Sampling Theory Fundamentals
The Nyquist-Shannon sampling theorem is fundamental to digital signal processing. It states that a continuous signal can be completely reconstructed from its samples if the sampling rate is greater than twice the highest frequency component of the signal.
Applications
- • Audio Processing: CD quality (44.1 kHz), digital audio recording
- • Telecommunications: Digital communication systems, modulation
- • Medical Imaging: MRI, ultrasound, medical signal processing
- • Control Systems: Digital control, sensor data acquisition
- • RF Engineering: Software-defined radio, signal analysis
Key Concepts
Nyquist Rate
Minimum sampling rate: 2 × highest signal frequency
Ensures perfect signal reconstruction
Aliasing
Distortion caused by undersampling
Creates false frequency components in the signal
Oversampling
Sampling above the Nyquist rate
Improves SNR and simplifies anti-aliasing
How to Use
- 1. Enter your signal frequency and unit
- 2. Enter your sampling frequency and unit
- 3. View the analysis results automatically
- 4. Check if sampling rate is sufficient
- 5. Review recommendations for improvement