The numbers in parentheses indicate the number of marked items (1 mark
each). Annotations in the marked PDF indicate the number of marks
deducted. A red X "(see solutions)" indicates one mark was deducted.
Quizzes
Quiz 1 (12)
Q1
- correct rho in dB
- correct rho in linear units
- correct probability
Q2
- correct f_m (2)
- correct tau-bar
- correct bits
Q3
- correct excess delays, dB to power conversion and normalized levels (3)
- correct mean excess delay
- correct RMS delay spread
Quiz 2 (9)
Q1
- use of mutual information equation
- correct joint probabilities
- correct marginal probabilities
- correct answer
Q2
- correct equation
- correct answer
Q3
- correct G(x) as bit sequence
- correct method
- correct result
Quiz 3 (12)
Q1 (3)
- sampling rate = 10 MHz
- guard time - 1000ns/100ns = 10 samples
- subcarrier spacing = 10 MHz / 256 ~= 39.1 kHz
Q2 (6)
(lambda = 300e6/3e9 = 0.1m, 4pi d ~= 1e5)
- path loss = (1e-1/1e5)^2 = 1e-12 = 120dB
- received signal power is 30 + 15 - 120 = -75 dBm
- received noise power -174 + 2 + 62 = -110 dBm
- SNR = 35 dB
- link margin = 10 dB
- YES
Q3 (3)
- OIP3 is 40dB/2 = 20 dB above output
- need 20 dBm output
- need 40 dBm OIP3
Midterm Exam 1
(marked out of 15)
[Unlike Quiz 1, if the wrong method/equation was used or a mistake was
made in a previous part of the same question, I deducted marks for
subsequent wrong answers as well.]
Q1
- only positive frequencies
- "bathtub" shape
- correct f_m=30 Hz
Q2
- equation
- result = 0.92
Q3
- convert to threshold (-20/10)
- equation
- answer = 2.3%
Q4
- probability w/o ~0.1
- probability w/ ~0.1E-3
Q5
- equation
- wavelength & loss in linear units 2/3m, 1/4
- received power ~18nW or ~-48 dBm
Q6
- switching
- why (only receive/monitor one branch)
Midterm Exam 2
(marked out of 19)
Q1 (3)
- used AWGN capacity formula
- capacity ~= 40 Mb/s
- conclusion is "not plausible"
Q2 (3)
- n=5 k=3
- transmitted codeword = [ 1 0 1 0 1 ]
- parity check matrix = [ 1 1 1 1 0 ; 0 1 1 0 1 ]
Q3 (4)
- G = [ 1 0 0 1 ; 0 1 1 1 ]
- codewords = 0000 0111 1001 1110
- distances = 3 2 3 ; 3 2 ; 3
- minimum distance = 2
[or some other reasonable explanation for dmin = 2]
Q4 (4)
- Eb/No with coding (2) (-2 if code rate not taken into account)
- Eb/No without coding
- coding gain ~= 3 or 4.8 dB
Q5 (5)
- duration ( = 102.4 us + 2 * 10 = 122.4 us) (2)
- bps ~= 10E6 (~15 if had wrong duration)
- bandwidth ~= 6 MHz
- spectral efficiency ~= 1.7 b/s/Hz (~2.5 if had wrong duration)
Final Exam
Q1 (3)
- use of Rayleigh CDF (no marks deducted here if got probabilites
"backwards" although 1 mark was deducted for wrong answer final
answer)
- solve CDF equation for rho & compute the mean
- correct answer and units (no marks deducted if also computed correct
RMS voltage of the envelope)
Q2 (5)
- convert distance to time
- convert to powers to linear units
- compute normalized delays
- compute excess delay spread
- OFDM guard time
Q3 (5)
- correct wavelength
- correct path loss
- correct area of circle, correct gain from Ae
- convert (or give) power to dBm
- correct power
Q4 (2)
- correct normalized weights
- correct resulting SNR
Q5 (2)
- correct capacity equation for BSC
- correct result
Q6 (2)
- a correct generator matrix
- the parity-check matrix for this generator matrix
Q7 (3)
- correct method (e.g. output level in dBm - difference/2)
- correct OIP3
- correct IIP3
Q8 (1)
- correct answer (FHSS) and explanation
Q9 (1)
- correct answer (MIMO) and explanation
Labs
Lab 1 (3)
- a plot of amplitude vs time
- a histogram of the amplitude and a fit Rayleigh
- a log-log plot of path loss vs distance
[The calculation of the path loss exponent was not marked for reasons
that will be explained in a lecture.]
Lab 2 (8)
- four results (GUI and spectrum analyzer captures) (4)
- basic
- frequency shift
- increased PRBS period
- disabling the low-pass filter
- answers to questions (4):
- one frequency equal to the sum
- any correct differences
- periods are 500/7 ~= 71 kHz and 500/255 ~= 2 kHz
- no anti-alising
Lab 3 (6)
- GRC flowgraph without FEC
- GRC flowgraph with FEC
- screen capture with showing signals
- spreadsheet with data
- plot
- calculation of coding gain
Lab 4 (5)
- GRC flow graph
- frequency spectra for N=128, 32 subcarrier, 1 MHz
- " for N=256 & explanation
- " for nc=64 & explanation
- " for fs=2 MHz & explanation
Lab 5 (3)
- successful publishing of secret (2)
- screen capture of RSSI display in report (1)