Homework 1
EENG 3810 Communication Systems
1. Find the energy of the following signal
𝑡
𝑔(𝑡) = { 𝑒4, 𝑡 ≥ 0
0, 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒
2. Find the power of the following periodic signal,
𝑔(𝑡) = {𝑡, −𝑇 ≤ 𝑡 ≤ 𝑇
Hint: Calculate the power for one time period.
3. Sketch the following signals for g(t)
𝑡 − 4, 4 < 𝑡 ≤ 8
𝑡
𝑔(𝑡) = {− + 8,8 < 𝑡 < 15
2
0, 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒
𝑔(𝑡)
b. 𝑔(−𝑡)
c. 𝑔((𝑡 + 5)/2)
d. 𝑔(−𝑡 + 5)
a.
Due Date: Jan 29, 2025
4. Sketch the following signals for g(t)
𝑔(𝑡) = 𝑢(𝑡 + 5) − 𝑢(𝑡 − 5)
𝑔(𝑡)
b. 𝑔(−𝑡/4)
c. 𝑔(−𝑡 + 4)
a.