What is the use of Fast Fourier Transform?

1. **Signal Processing**: FFT is widely used to analyze the frequency components of signals, which is useful in applications such as audio processing, image processing, and telecommunications.

2. **Data Compression**: FFT is employed in data compression algorithms, like JPEG for image compression and MP3 for audio compression, by transforming data into a frequency domain where it's easier to compress.

3. **Filtering**: In digital filtering, FFT helps in designing and applying filters to signals, including removing noise or enhancing certain frequencies.

4. **Spectral Analysis**: FFT is used in spectral analysis to study the frequency spectrum of signals, which is crucial in fields like seismology, astronomy, and acoustics.

5. **Solving Differential Equations**: FFT can be used to solve partial differential equations by transforming them into the frequency domain, where they are easier to handle.

The efficiency of the FFT algorithm makes it a fundamental tool in various fields of science and engineering.