Series

Fourier series expansion

Fourier series expansion
  1. What is the Fourier series expansion of?
  2. What is the Fourier series formula?
  3. What is Fourier series expansion of signals?

What is the Fourier series expansion of?

What is the Fourier Series? A Fourier series is an expansion of a periodic function f(x) in terms of an infinite sum of sines and cosines. Fourier Series makes use of the orthogonality relationships of the sine and cosine functions.

What is the Fourier series formula?

A Fourier series is a sum of sine and cosine waves that represents a periodic function. Each wave in the sum, or harmonic, has a frequency that is an integer multiple of the periodic function's fundamental frequency.

What is Fourier series expansion of signals?

Fourier series is an expansion of a periodic signal in terms of the summing of an infinite number of sinusoids or complex exponentials, as any periodic signal of practical nature can be approximated by adding up sinusoids with the properly chosen frequencies, amplitudes, and initial phases.

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