t A
2 /
T T
0
TL9081 Signal theory
Examination 1 20.10.2005
1. Please answer briefly the following questions:
a. For what kind of signal it is possible to calculate average power (1p) ? b. What kind of a spectrum does a periodic time domain signal has (1p) ? c. What is an even signal (1p) ?
d. What is an odd signal (1p) ?
e. What does the Fourier series presentation in time domain tells about the original signal (1p)
?
2. Calculate either the total energy or the average power of the signals, depending on which one is possible (2 x 2,5p).
3.
a. What symmetry properties does this signal has ? Please explain (1p) ! b. What is the Fourier coefficient av (1p) ?
c. What is the Fourier coefficient ak (1,5 p) ? d. What is the Fourier coefficient bk (1,5 p) ?
4. Give the full Fourier series presentation of the above signal and plot the amplitude spectrum (5 p).
t
) (t g 1
1 2 3
T
−T T
−2 2T
t )
(t g 1
KUVA
A
−A T
−3 3T
