Use this Fourier Transform calculator to convert a time-domain signal into its frequency components with ease.

## How to Use This Fourier Transform Calculator

Enter the sequence of real numbers separated by commas in the first input field. If your sequence has an imaginary part, enter the sequence of imaginary numbers (also comma-separated) in the second input field. Click on the ‘Calculate’ button to compute the Fourier Transform. The result will display in the Result field.

## How It Works

This calculator performs the Discrete Fourier Transform (DFT) on a sequence of complex numbers. It applies the DFT formula on each element of the input sequence to compute the corresponding element in the frequency domain. If only the real part is provided, it assumes the imaginary part is zero for all elements.

## Limitations

The calculator uses the naive DFT algorithm, which is not optimized for large datasets. It has a time complexity of O(N^2) and may be slow for long sequences. For performance reasons, itâ€™s best to use this calculator for relatively short sequences. The precision of calculations is limited by JavaScript’s floating-point arithmetic.