Finding Fourier Series Coefficients

AI Thread Summary
The discussion revolves around finding the Fourier series coefficients for the periodic signal x(t) = 5cos(6w_0t+pi/2). Participants express confusion regarding the terms "digital or discrete spectrum" and the nature of the signal, noting that x(t) indicates a continuous time-dependent signal. There is a request for clarification on the three coefficients (a0, an, and bn) used in Fourier series representation and how to calculate them, including any potential shortcuts for even or odd functions. Some participants mention a lack of coverage on these coefficients in their study materials, which only included integral equations and summations for discrete signals. The conversation highlights the need for clearer explanations and resources on Fourier series coefficients.
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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.
 
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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).
 
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