Fourier Transform Calculator
Compute continuous Fourier transform formulas and magnitude/phase at a selected angular frequency.
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What This Calculator Does
Compute continuous Fourier transform formulas and magnitude/phase at a selected angular frequency.
It combines Signal Type, Amplitude A, Pulse Width T, Gaussian sigma to estimate F(ω) Formula, F(ω) Complex Value, Magnitude |F(ω)|.
Formula & Method
Notation used in the formulas: R = F(ω) Formula; x_{1} = Signal Type; x_{2} = Amplitude A; x_{3} = Pulse Width T; x_{4} = Gaussian sigma; x_{5} = Sinc parameter b; x_{6} = Decay a.
Method summary: inputs are normalized to consistent units, core equations are evaluated, then secondary values are derived and rounded for display.
Use this calculator for quick scenario analysis. Start with baseline values, change one driver at a time, and compare how sensitive the results are to each input shown above.
Inputs Used
- Signal Type: Used directly in the calculation.
- Amplitude A: Used directly in the calculation.
- Pulse Width T: Used directly in the calculation.
- Gaussian sigma: Used directly in the calculation.
- Sinc parameter b: Used directly in the calculation.
- Decay a: Used directly in the calculation.
- Angular Frequency ω: Used directly in the calculation.
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