# Discrete Fourier Transform (DFT) Calculator

Use the below Discrete Fourier Transform (DFT) calculator to identify the frequency components of a time signal, momentum distributions of particles and many other applications. DFT is a process of decomposing signals into sinusoids.

Use the below Discrete Fourier Transform (DFT) calculator to identify the frequency components of a time signal, momentum distributions of particles and many other applications. DFT is a process of decomposing signals into sinusoids.

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#### DFT Formula:

N-1
X(k) = ∑ x(n) e^{ -j2πnk / N}

n=0
**Where,**
n - n^{th} value series
k - iterative value
N - number of period
**Discrete Fourier Series:** In physics, Discrete Fourier Transform is a tool used to identify the frequency components of a time signal, momentum distributions of particles and many other applications. It is a periodic function and thus cannot represent any arbitrary function.

**DFT Uses:** It is the most important discrete transform used to perform Fourier analysis in various practical applications.

Feel free to use our **online Discrete Fourier Transform (DFT) calculator** to compute the transform for the set of values. Just enter the set of values in the text box, the online DFT calculator tool will update the result. The discrete fourier transform calculator can accept up to 10 numbers as input series.