Fourier

Fourier Series representation of a signal

Fourier Series representation of a signal
  1. What is Fourier series representation of a signal?
  2. How is Fourier series used in signal processing?
  3. Why do we need Fourier representation of signals?

What is Fourier series representation of a signal?

“The representation of periodic signals over a certain interval of time in terms of linear combination of orthogonal functions (i.e., sine and cosine functions) is known as Fourier series.”

How is Fourier series used in signal processing?

The Fourier series is a tool used for transforming a signal from time domain to the frequency domain. In the Fourier series the signal is decomposed into harmonically related sinusoidal functions.

Why do we need Fourier representation of signals?

Fourier transforms is an extremely powerful mathematical tool that allows you to view your signals in a different domain, inside which several difficult problems become very simple to analyze.

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