Reveal hidden patterns across sampled waveforms instantly. Measure peaks, bandwidth, power, and harmonics confidently today. Turn raw samples into clear frequency insight for action.
This sample illustrates a short waveform containing repeating oscillations that produce a clear dominant frequency and harmonic pattern.
| Parameter | Example Value | Meaning |
|---|---|---|
| Signal Samples | 0, 1, 0, -1, 0, 1, 0, -1 | One repeating sinusoidal cycle pattern |
| Sample Rate | 8 Hz | Eight samples collected each second |
| Window | Hann | Reduces leakage around sharp spectral edges |
| Zero Padding | 16 | Improves displayed frequency spacing |
| Band Range | 0.5 to 2.5 Hz | Measures power inside the main signal band |
The calculator applies a discrete Fourier transform to the processed sequence. For sample index n and frequency bin k, the complex spectrum is:
X[k] = Σ x[n] · w[n] · e^(-j2πkn/N)
Magnitude is computed with |X[k]| = √(Re² + Im²). Single-sided amplitude uses A[k] = 2|X[k]| / (N · CG) for non-edge bins, where CG is coherent gain from the selected window. RMS equals amplitude divided by √2, while power equals RMS².
Frequency resolution is Δf = fs / N, where fs is sample rate and N is FFT length after zero padding.
It estimates the discrete frequency spectrum of sampled data, then reports amplitudes, RMS values, phase angles, power, dominant peaks, and harmonic matches.
Mean removal suppresses the zero-frequency offset. This helps reveal oscillatory content more clearly when the original signal has a strong DC component.
Zero padding increases the number of displayed bins. It improves visual spacing and interpolation, but it does not add new physical information to the signal.
Rectangular preserves raw values, while Hann, Hamming, and Blackman reduce leakage. Strongly periodic clean data may use rectangular; noisier signals often benefit from tapered windows.
It is the frequency bin inside your selected display range with the highest reported amplitude after processing, scaling, and optional mean removal.
Band power ratio is the fraction of total spectral power that falls between your chosen lower and upper band limits.
Yes. Non-sinusoidal waveforms often produce several peaks and harmonics, which the calculator lists to help explain the waveform shape.
It is excellent for quick studies, education, and lightweight checks. Advanced instruments may still offer better noise handling, calibration, and larger datasets.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.