Bode frequency response calculator

Calculate frequency/magnitude dB/unwrapped phase degrees with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use frequency/magnitude dB/unwrapped phase degrees to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Numerator coefficients descending powers
1
Denominator coefficients descending powers
1,1
Angular frequencies (rad/s)
0.1,1,10
Frequency/magnitude dB/unwrapped phase degrees (JSON)
[[0.1,-0.0432137378264,-5.7105931375],[1,-3.01029995664,-45],[10,-20.0432137378,-84.2894068625]]

Try another scenario

Numerator coefficients descending powers
[2]
Denominator coefficients descending powers
[1, 1]
Angular frequencies (rad/s)
[0.1, 1, 10]
Frequency/magnitude dB/unwrapped phase degrees (JSON)
[[0.1,5.97738617545,-5.7105931375],[1,3.01029995664,-45],[10,-14.0226138245,-84.2894068625]]
Calculation method

Calculation method

Frequency/magnitude dB/unwrapped phase degrees (JSON)

Evaluate G(jω); output magnitude 20log10|G| and phase unwrapped over increasing positive frequency samples.

Symbols and units
a
Numerator coefficients descending powers
b
Denominator coefficients descending powers
c
Angular frequencies (rad/s)

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; Evaluate G(jω); output magnitude 20log10|G| and phase unwrapped over increasing positive frequency samples. 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.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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