Examples
Examples
Try the starting example
- Real signal samples
- 0,1,0,-1,0,1,0,-1
- Sampling frequency (Hz)
- 8
- Segment length
- 8
- Hop samples
- 4
- Window: 0 rectangular, 1 Hann, 2 Hamming
- 0
- One-sided frequencies (Hz)
- [0,1,2,3,4]
- Welch power spectral density
- [0,7.70371977755e-34,0.5,5.62371543761e-32,3.74939945665e-33]
- Complete segment count
- 1
Try another scenario
- Real signal samples
- [0, 2, 0, -2, 0, 2, 0, -2]
- Sampling frequency (Hz)
- 8
- Segment length
- 8
- Hop samples
- 4
- Window: 0 rectangular, 1 Hann, 2 Hamming
- 0
- One-sided frequencies (Hz)
- [0,1,2,3,4]
- Welch power spectral density
- [0,3.08148791102e-33,2,2.24948617504e-31,1.49975978266e-32]
- Complete segment count
- 1
Calculation method
Calculation method
One-sided frequencies (Hz)
k×sample rate/segment length.
Welch power spectral density
Average one-sided |DFT(window×segment)|²/(fs sum(window²)); double positive non-Nyquist bins.
Complete segment count
Only complete segments retained; no detrending.
Symbols and units
- a
- Real signal samples
- b
- Sampling frequency (Hz)
- c
- Segment length
- d
- Hop samples
- e
- Window: 0 rectangular, 1 Hann, 2 Hamming
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
sum(list) adds all entries in the list.
Assumptions & limits
Assumptions & limits
- Samples, sample rate, window-segment settings. Returns PSD with explicit normalization. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Real signal samples: minimum None, maximum 1000000000000.0. Sampling frequency (Hz): minimum 1e-12, maximum 1000000000000.0. Segment length: minimum 4, maximum 128. Hop samples: minimum 1, maximum 128. Window: 0 rectangular, 1 Hann, 2 Hamming: minimum 0, maximum 2.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.