eclass.uop.gr | Signals and Systems | Chapter 4 - Fourier Analysis (Series and Transform)

Signals and Systems

ECE_K340 - Michael Paraskevas, Nikos Spatiotis, Michael Nanos

Chapter 4 - Fourier Analysis (Series and Transform)

Question 1 / 10 (Multiple Choice (Single Answer) — 1 grade)

A periodic signal has fundamental angular frequency \(\Omega_0\) and exponential Fourier series coefficients \(X_k\). Which relation gives its Fourier transform in the sense of generalized functions?

\(X(\Omega)=\sum_{k=-\infty}^{\infty}X_k\delta(\Omega-k\Omega_0)\)

\(X(\Omega)=2\pi\sum_{k=-\infty}^{\infty}X_k\delta(\Omega-k\Omega_0)\)

\(X(\Omega)=\sum_{k=-\infty}^{\infty}X_ke^{jk\Omega_0t}\)

\(X(\Omega)=2\pi\sum_{k=-\infty}^{\infty}X_k\delta(\Omega+k\Omega_0)\)

Course : Signals and Systems

Course code : 4709

Signals and Systems

Question 1 / 10 (Multiple Choice (Single Answer) — 1 grade)