The discussion focuses on finding the Fourier series coefficients \( X_k \) for the periodic signal \( x(t) = 5\cos(6\omega_0 t + \frac{\pi}{2}) \). Participants express confusion regarding the terms "digital or discrete spectrum" and the calculation of the three coefficients: \( a_0 \), \( a_n \), and \( b_n \). The conversation highlights the need for clarity on how to derive these coefficients and the implications of the continuous time signal represented by \( x(t) \).
PREREQUISITESStudents and professionals in electrical engineering, signal processing, and applied mathematics who are looking to deepen their understanding of Fourier series and their applications in analyzing periodic signals.
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?