The Fourier Transform is a mathematical tool used to transform signals from the time domain to the frequency domain. It provides a representation of a signal in terms of its component frequencies and their amplitudes. The Fourier Transform is widely used in many fields, including signal processing, image processing, and communication systems.

In its most basic form, the Fourier Transform takes a timedomain signal and represents it as a sum of sinusoidal signals with different frequencies, amplitudes, and phases. This allows us to understand the frequency content of a signal and to analyze its behavior over time. The inverse Fourier Transform can be used to transform the signal back to the time domain.

The Fourier Transform can be expressed mathematically as an integral, where the input signal is multiplied by complex exponentials. The output of the Fourier Transform is a complexvalued function, called the spectrum, that represents the amplitude and phase of each frequency component.

To summarize, the Fourier Transform is a mathematical tool used to analyze signals in terms of their frequency content. It provides a powerful and flexible method for understanding and processing signals in a wide range of applications.