The Fourier Transform Calculator works with the Fourier transform, a mathematical tool for representing a signal or function in terms of its frequency components.
Fourier transform idea
In the continuous case, a common convention is F(Ο) = β«βββ f(t)eβ»β±Οt dt. The transform changes the description from the time or spatial domain to the frequency domain.
Simple example
A sinusoid such as f(t) = cos(Οβt) contains a single fundamental frequency in an ideal continuous setting. Its Fourier representation therefore concentrates energy at the corresponding positive and negative frequencies.
How to use the calculator
- Enter the supported function or signal.
- Choose the transform settings required by the calculator.
- Calculate the transform.
- Inspect the resulting frequency-domain expression or values.
Fourier transforms are widely used for signal analysis, filtering, vibration studies, image processing, and other applications where frequency content matters.