关键词 > EE242
EE 242 Signal Processing I Winter 2022 Quiz 1
发布时间:2022-04-26
Hello, dear friend, you can consult us at any time if you have any questions, add WeChat: daixieit
Department of Electrical and Computer Engineering
Winter 2022 - EE 242 Signal Processing I
Quiz 1
Problem 1 (20pts)
For each of the following signals, state whether the signal is periodic. If it is periodic, find the fundamental period T0 (continuous time) or N0 (discrete time).
a) (
) =
2 (4
)
b) (
) = sin(6
) + cos (5
)
c) [
] = cos (
) + sin(2
) + 3(−1)
+1
d)
[
] (even component of part c)
e)
[
] (odd component of part c)
Problem 2 (10pts)
For each of the following signals, calculate the E (Energy) and P (Power) components.
a) [
] = (
)
[
]
b) (
) =
0
Problem 3 (20pts)
For each of the following systems, determine whether its memoryless, causal, stable, invertible, time invariant, and linear. Mathematical derivations for positive proofs and counter examples for negative proofs.
a) (
) = cos(3
)
(
)
b) (
) =
(
)
Bonus Problem (5pts)
Graph the even and odd components of the following continuous signal.