EED-201 (Signals and Systems): ASSIGNMENT 2
Submit on / before Oct. 16, 2020.
Solve all the questions.
1. Determine the Fourier series coefficients and the corresponding Fourier series representation
for the continuous time signal below (with time period of 2):
๐ฅ(๐ก) = ๐โ๐ก for โ 1 < ๐ก < 1
2. Determine the signal ๐ฅ(๐ก), having a time period 4 and given the following Fourier series
coefficients (๐๐):
๐๐= (โ1)๐sin๐๐/8
2๐๐ , ๐0=1
16
3. Determine the Fourier series coefficients and the corresponding Fourier series representation
for the discrete time signal below (with period 12):
๐ฅ[๐] = 1 โ sin ๐๐
4 for0 โค ๐ โค 11
4. Determine the signal ๐ฅ[๐], having a period 8 and given Fourier series coefficients (๐๐) in the
figure below:
5. Consider a discrete-time LTI system with the following impulse response:
โ[๐] = (1
2)|๐|
Find the Fourier series representation of the output ๐ฆ[๐] for each of the following inputs ๐ฅ[๐]:
1) ๐ฅ[๐] = โโ
๐=โโ ๐ฟ[๐ โ 4๐]
2) ๐ฅ[๐] is periodic signal with period 6 and,
๐ฅ[๐] = {1, ๐ = 0, ยฑ1
0, ๐ = ยฑ2,ยฑ3
