Fourier Coefficients

1. What are the Fourier coefficients?
2. What is the Fourier coefficients in the Fourier series?
3. Why are Fourier coefficients useful?

What are the Fourier coefficients?

Explanation: The fourier coefficient is : X_n = 1/T∫x(t)e^-njwtdt.

What is the Fourier coefficients in the Fourier series?

Fourier series representation of a periodic function. Where: n is the integer sequence 1,2,3,... av , an , and bn are known as the Fourier coefficients and can be found from f(t)

Why are Fourier coefficients useful?

The primary reason that we use Fourier series is that we can better analyze a signal in another domain rather in the original domain. Sometimes a signal reveals itself more in another domain.