EE 242 Signal Processing I Winter 2022 Quiz 1
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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.
2022-04-26