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eng.transfer-function-bode Calculator
Calculates and plots the Bode magnitude and phase response of a transfer function from poles, zeros, and gain. Bode plots are the primary tool for frequency domain control system design — gain margin and phase margin are read directly from the magnitude and phase curves.
Inputs
Gain Db
Reference formula or conversion factor shown for context.
Num Poles
Count of items or occurrences.
Natural Freq Rad S
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Damping Ratio
Reference formula or conversion factor shown for context.
Results
gain margin (dB)
The improvement or increase over the baseline.
phase crossover frequency (rad/s)
The current phase of the cycle or process.
bandwidth frequency (rad/s)
The computed width.
peak magnitude (dB)
Sample size or count used in the calculation.
stability criterion
Measure of how robust the system, structure, or process is to perturbations. Low stability means small changes can cause large deviations.