Finding Fourier Series Coefficients

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
2 replies · 7K views
Pete_01
Messages
49
Reaction score
0

Homework Statement


Find the Fourier series coefficients X_k of the periodic signal:
x(t) = 5cos(6w_0t+pi/2)
(digital or discrete spectrum)


Homework Equations





The Attempt at a Solution



I am really confused with all of this and don't even know how to start.
 
Physics news on Phys.org
What do you mean by "digital or discrete spectrum" ? The '(t)' in x(t) designates a continuous time dependent signal.

Anyway, are you familiar with the 3 co-efficients (a0, an, & bn), the way the Fourier series will be represented after you find them, how to calculate each one, and any shortcuts (like an odd or even function) that may hasten the process?
 
Zryn said:
What do you mean by "digital or discrete spectrum" ? The '(t)' in x(t) designates a continuous time dependent signal.

Anyway, are you familiar with the 3 co-efficients (a0, an, & bn), the way the Fourier series will be represented after you find them, how to calculate each one, and any shortcuts (like an odd or even function) that may hasten the process?

I am not familiar with the 3 coefficients. The book did not cover this. I was only give an integral equation and a summation (for discrete signals).