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Fourier Transform Calculator
A Fourier transform breaks a signal into the frequencies it contains. Enter time-domain samples to see the frequency spectrum.
Fourier Transform Calculator
Enter your values below and press Calculate to see your result instantly.
Enter at least 8 data points to see spectral peaks
Dominant Frequency Component
Index 1 (1.0 Hz eq)
PEAK MAGNITUDE
4.00
NYQUIST THRESHOLD
Active
The Fourier Transform has isolated the core sine component. Peak energy is concentrated at Index 1.
About the Fourier Transform Calculator
A Fourier transform breaks a signal into the frequencies it contains. Enter time-domain samples to see the frequency spectrum.
How to use the Fourier Transform Calculator
- Enter the Signal Samples as comma-separated values.
- Press Calculate to see the frequency components and their magnitudes.
Formula and method
The discrete Fourier transform: X[k] = Σ x[n] · e^(−2πikn/N). The magnitude of X[k] shows how strongly frequency k is present.
Tips
- Use at least a few full cycles of the signal.
- Sampling must be at more than twice the highest frequency (the Nyquist rate) to avoid aliasing.
Frequently asked questions
What are the applications of the Fourier transform?
Audio and image processing, communications, vibration analysis and many other fields.