Examples
Examples
Try the starting example
- JSON sections [b0,b1,b2,a0,a1,a2]
- [[1,0,0,1,-0.5,0],[0.5,0.5,0,1,0,0]]
- Frequencies (Hz)
- 0,5,10,20
- Sampling frequency (Hz)
- 100
- Frequency, magnitude, phase degrees
- [[0,2,0],[5,1.80644765424,-25.4148851647],[10,1.43217272634,-44.2676985523],[20,0.834001351796,-65.3546280922]]
Try another scenario
- JSON sections [b0,b1,b2,a0,a1,a2]
- [[1,0,0,1,-0.5,0],[0.5,0.5,0,1,0,0]]
- Frequencies (Hz)
- [0, 2, 8, 15]
- Sampling frequency (Hz)
- 100
- Frequency, magnitude, phase degrees
- [[0,2,0],[2,1.96530011667,-10.688495086],[8,1.5844525845,-37.6059485948],[15,1.0949176582,-56.8071479074]]
Calculation method
Calculation method
Frequency, magnitude, phase degrees
Multiply each section frequency response at each requested frequency.
Symbols and units
- a
- JSON sections [b0,b1,b2,a0,a1,a2]
- b
- Frequencies (Hz)
- c
- Sampling frequency (Hz)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Section coefficients, frequency grid. Returns Combined magnitude-phase response. 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. Frequencies (Hz): minimum None, maximum 1000000000000.0. Sampling frequency (Hz): minimum 1e-12, maximum 1000000000000.0.
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.