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Main points of this exam paper are: Cellular System, Average, Fade Duration, Parameters, Communication Parameters, Mobile Station, Experiences, Normalised, Rayleigh Fading, Modulation Schemes
Typology: Exams
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Answer any three questions for full marks
Maximum available marks is 100.
Examiners: Dr. D. Pesch Prof. G. Hurley Dr. S. Foley
Q1. (a) Calculate the average fade duration a mobile station experiences when the communication parameters are as follows:
(b) List three requirements for modulation schemes for use in mobile communication systems. Which are the typical modulation schemes used in commercial systems and briefly state as to how they fulfil the listed requirements [9 marks]
(c) For the cellular system shown in Figure 1, show a detailed calculation of the value of the worst case signal to interference ratio in uplink (^) and downlink based on a cluster size K = 7. Consider in your calculation a worst case interferers constellation with all interferers excited, assume omni-directional antennae, constant transmitter power P (^) TX , and a propagation path loss
D
Figure 1
Q.
(a) Consider the 1/2 convolutional encoder with constraint length K = 4 shown in Figure 2. Write down the channel encoded binary sequence generated for the source message M = 1100101101. Assume that all shift registers have an initial value of zero. [12 marks]
u (^1)
u (^2)
Input (^4) Output
Figure 2 (b) Briefly explain the concepts underlying direct sequence spread spectrum communications and how this can be used to design a multiple access radio interface for cellular mobile networks. [11.33 marks] (c) Consider a CDMA based multiple access mobile radio system with bandwidth B = 1.6MHz.Calculate the maximum theoretically possible error free data rate per user when there are K = 15 users in the system and the signal to noise ratio requirements is (^) E (^) b /N 0 = 12dB. [10 marks]
[13.33 marks]
Appendix:
Some formulae you may find useful in answering questions 1 to 4.
Level crossing rate and average fade duration for Rayleigh fading channel: 2
ρ π
ρ
2
c
m
Shannon channel capacity theorem (^)
C B log 1 P 2
Relationship between frequency resue distance, cell size and cluster size in hexagonal shaped
cellular environments K R
Boundary crossing rate:
Pollazcek-Kinchine formula for the average time in a M/G/1 queuing system
W ; X is service time random variable, μ is the mean service rate; μ
ρ=λ
∞
−∞
∞
−∞
X^2 = x^2 f ( x ) dx ; f(x) is pdf of the service time for continuous random variables
k 0
k
0
(^2 2) , for discrete random variables
Table 1. Erlang-B call attempt blocking formula