Examples
Examples
Try the starting example
- Increasing angular frequencies (rad/s)
- 0.1,1,10,100
- Open-loop magnitudes (dB)
- 20,10,-10,-30
- Unwrapped phases (degrees)
- -30,-90,-150,-210
- Gain crossovers [rad/s,phase margin degrees] JSON
- [[3.16227766017,60]]
- Phase crossovers [rad/s,gain margin dB] JSON
- [[31.6227766017,20]]
Try another scenario
- Increasing angular frequencies (rad/s)
- [0.1, 2, 10, 100]
- Open-loop magnitudes (dB)
- [20, 10, -10, -30]
- Unwrapped phases (degrees)
- [-30, -90, -150, -210]
- Gain crossovers [rad/s,phase margin degrees] JSON
- [[4.472135955,60]]
- Phase crossovers [rad/s,gain margin dB] JSON
- [[31.6227766017,20]]
Calculation method
Calculation method
Gain crossovers [rad/s,phase margin degrees] JSON
Detect isolated0dB and odd180degree crossings including exact first-sample endpoints; interpolate dB and unwrapped phase against log frequency. Phase margins are principal signed angular differences in (−180,180]degrees. No bracketed crossing does not imply infinite stability margin.
Phase crossovers [rad/s,gain margin dB] JSON
Detect isolated0dB and odd180degree crossings including exact first-sample endpoints; interpolate dB and unwrapped phase against log frequency. Phase margins are principal signed angular differences in (−180,180]degrees. No bracketed crossing does not imply infinite stability margin.
Symbols and units
- a
- Increasing angular frequencies (rad/s)
- b
- Open-loop magnitudes (dB)
- c
- Unwrapped phases (degrees)
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
- User-supplied measurements and assumptions; Detect bracketed 0 dB and odd-180° crossings; interpolate dB and unwrapped phase against log frequency. Empty lists mean no crossing bracketed, not infinite stability margin. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits. A whole interval at0dB or odd180degrees has a continuum of crossovers and is rejected as nonisolated rather than assigned one margin.
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.