Fourier Seriers Assignment | Online Assignment

Please solve in blue color
Question 1
1. Determine the Fourier transform of the following signal using the full integral solution: (5
Marks)
x(t)= !!
“”
#$
𝑢(𝑡) − 5%$ u(t) +3𝛿(𝑡 − 4)
Question 2
2. Calculate and sketch the Fourier transform for the following signals. You may use the
Fourier tables to perform the given tasks. (10 Marks)
A) 𝑥!(𝑡) = 200 cos(20𝜋𝑡) + 100𝑐𝑜𝑠(10𝜋𝑡)𝑒”#$%
(5 Marks)
B) 𝑥&(𝑡) = 100 Sin(2πt − 10π)
(3 Marks)
C) 𝑥’ (𝑡) = (
(% 920𝑆𝑖𝑛𝑐(𝑡)=
(2 Marks)
Tables and formulas
𝑋(𝑍) = Σ 𝑥(𝑛)𝑍”) *)
+,