2. Determine if each of the following signals is periodic. If a signal is period

Question

2. Determine if each of the following signals is periodic. If a signal is periodic, determine its period.
a) cos (squ 3t)
b)exp (
c) sin (2t) ^2
d) sin(2t^2)

)
3. A given set of functions is shown below. These are called Walsh functions.
a) Show that these functions form an orthogonal set over the interval (0,1). Is the set also orthonormal?
b) Represent a signal over the interval (0,1) using this set of orthogonal functions.
c) Sketch and the representation of on the same graph and compare.
d) Calculate the energy in each term of the series and the error energy remaining after each term is included.



4. Determine the trigonometric Fourier series representation for the signal
f (t) = 2 -1/2< t < 1/2
0 elseware
over the interval (-1,1).

Explanation / Answer

Problem 2.2.2.2

http://www.cst.uwaterloo.ca/courses/ece318/Problems1.pdf

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