Fourier Transform: Signal Representation and Frequency Analysis

In course

Description

This lecture covers the Fourier transform, which converts a signal in time into a frequency representation, allowing the analysis of the signal's frequency components. It explains the relation with Fourier series, the complex form, and the integration of complex functions. The lecture also delves into the physical interpretation of the Fourier transform and its application in signal processing.

Official source

https://mediaspace.epfl.ch/media/0_c9l0b6sk

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In physics and mathematics, the Fourier transform (FT) is a transform that converts a function into a form that describes the frequencies present in the original function. The output of the transform is a complex-valued function of frequency. The term Fourier transform refers to both this complex-valued function and the mathematical operation. When a distinction needs to be made the Fourier transform is sometimes called the frequency domain representation of the original function.

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