mona assignment

Signals and Systems

EE/CE-301-Spring-2 2020

Assessment 1- Week 1 - Fourier series (Textbook: Chapter-3)

Individuel submission: Upload a (pdf) scanned version of your hand written answer to Moodle

Student name :……………….. Student ID : ……………………

Question 1 [50 points]: For the continuous-time periodic signal

𝑥(𝑡) = 1 + cos 3𝜋

4 𝑡 −

𝜋

2 + 2sin (𝜋𝑡 +

𝜋

3 )

A) [15 points] Explain using drawing how to find the fundamental frequency 𝒘𝟎 B) [15 points] Determine the Fourier series coefficients 𝒂𝒌 C) [05 points] Draw a bar graph show the magnitude of the Fourier series coefficients 𝒂𝒌 D) [15 points] Explain what Fourier series is? and where it can be applied?

You need to show all the steps that lead to the final result.

Question 2 [50 points]: Using the Fourier series properties table,

A. [15 points] Find the FS coefficient 𝑐 of the periodic signal f(t) B. [20 points] Find the FS coefficients 𝑐 of the periodic signal f(t) C. [15 points] Explain (by writing paragraph/s) what are the differences between 𝑐 and

𝑐 ?

You need to show all the steps that lead to the final result.