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Results Exam S-38.411 Signal Processing in Telecommunications I


Exam MAY 24, 2000

St. No.
#1
#2
#3
#4
#5
Total
Hw extras
Total Hw + Exam
Grade
46687E
5
6
1
-
1
13
0
13
0
52748E
6
6
6
8
6
32
4
36
5
94040L
5
5
5
6
5
26
2.5
28.5
4
94037H
5
5
6
7
4
27
2
29
4
94025R
5
8
5
8
4
30
3
33
5
                   
46727H
5
4
5
-
4
18
0
18
2
94035E
6
4
6
7
6
29
3.5
32.5
5
45493J
5
4
5
3
4
21
1
22
3
76408L
2
2
6
2
1
13
2
15
1
50943E
5
1
5
7
6
24
1.5
25.5
3
                   
93700N
6
6
6
5
5
28
4
32
5
94215R
5
5
6
6
7
29
-
29
4
52497A
5
5
6
6
5
27
1.5
28.5
4
94005P
4
4
6
6
6
26
3
29
4
52478A
6
6
5
8
6
31
3
34
5
                   
94034D
6
6
6
8
5
31
3.5
34.5
5
41823E
6
5
5
5
4
25
-
25
3
49984S
3
0
0
-
-
3
-
3
0
50991S
4
4
5
5
2
22
2
24
3
94022M
6
6
5
6
3
26
3.5
29.5
4
                   
94018H
6
5
6
6
4
27
3
30
5
49395S
6
4
6
6
3
25
3.5
28.5
4



 

COMMENTS ON THE EXAM (MAY 24, 2000)

In general, the results were very good - perhaps too good! More than half of
the participants got points that give the grade 4 or 5 even without the
homework points. I was afraid that the exam would be to easy or too
laborious but looks like this was not the case.

Some comments on the problems and answers obtained:

1. The small questions were answered well. Many guessed wrong what the 'A' in
ADSL stands for, it is not Asynchronous or Advanced, but Asymmetric: the
main idea is that the downstream (towards the user) data rate is much higher
than that for upstream.

2. The answers to questions 2a) and 2b) were more diverse. It was apparently
a problem that the questions were based on guest lectures, the echo canceler
on the network and xDSL lectures and the multipath RAKE on the CDMA lecture.
Only the basic ideas with pictures were required for full points.

3. The capacity calculations in Problem 3 were interesting. Most solutions
for a) gave optimum power spectrum Sx,opt(f) = Px/W correctly and also
obtained for b) the capacity C = W log2(1+PxK2/Pn). In c) the notch means
that the power must be distributed over the remaining band, giving
Sx,opt(f) = Px/(W-delta f) and the capacity C = (W-delta f) log2(
1+PxK2W/(Pn(W-delta f)) ), some solutions failed to notice this.

4. Also the adaptive equalizer problem seemed to be easier than I expected.
The most frequent omission was that no solution was given for the step
parameter beta, and I decided to give the extra 2 points only if beta was
solved correctly as beta= 2/lambda,max = 2/R0.

5. The DFE equalizer was perhaps the most tricky problem. It was modified
 from the problem sessions. The linear ZF equaliser in a) is easy to get from
the Nyquist criterion
HT(z)C(z)HR(z)=C(z)HR(z)=1 (HT(z)=1) or HR(z)=1/C(z)= 1+kz-1. However, in b)
one must first decide the criterion of optimality (which was not specified).
If ZF criterion is taken, then solution for a) is one possibility which
meets the criterion for the linearized model C(z)HR(z)-FR(z)=1 when the
feedback is set to zero (FR(z)=1). However, if the MMSE criterion is used,
then the noise power or integral of HR(f)2Sn(f) must be minimized. If the
noise is white, then the optimum choice for HR(z)=1 and the feedback filter
is solved from the Nyquist criterion as FR(z)=C(z)-1=-kz-1/(1+kz-1).

As stated in the exam paper, problem 4 could give 2 extra points. In
addition, some extra point were given for other exceptionally brilliant
solutions.

Thank you for great performance in the exam! I hope you will be able to
complete the MATLAB project as well.

The next exam has been tentatively scheduled for December 13, but I feel it
would be better to have it in September instead. Please contact me by e-mail
if you have any wishes for the date of the exam.

June 6, in Otaniemi
Timo Laakso


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