DFT stands for discrete Fourier transform and is one of the most essential and useful tools in digital signal processing. It calculates the range of a finite duration signal. The representation of a digital signal as it pertains to its frequency component in a frequency domain is of the utmost importance. The algorithm which converts the time domain signals into the frequency domain components is called Fourier transform or DFT. FFT stands for Fast Fourier Transform, which is an operation of the DFT, and it produces almost identical results.
However, FFT is a much faster option. (hence the name Fast Fourier Transform). DFT can be used for many purposes. These include calculating a signal’s frequency range and detection of targets from radar echoes. FFT has been used for acoustic measurements in churches and concert halls. It can also be used for spectral analysis in analog computations and filtering algorithms.
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