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Main points of this exam paper are: Channel Coding, Relation, Data Transmission, Schemes Commonly, Coding Schemes, Convolutional Encoder, Constraint Length, Channel Encoded, Binary Sequence, Shift Registers
Typology: Exams
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(NFQ Level 8)
Answer any three questions for full marks Examiners: Dr. K. Murray Maximum available marks is 100 Prof. G. Hurley Dr. S. Foley
Q1. (a) Explain the term Channel Coding in relation to data transmission over a wireless channel. Briefly describe two FEC coding schemes commonly used in GSM. [7 marks] (b) Consider the ½ convolutional encoder with constraint length K = 3 shown in Figure 1. Draw the trellis diagram for this encoder and show the path through the trellis created by encoding the message M = 11001011. Write down the channel encoded binary sequence generated for the source message M. Assume that all shift registers have an initial value of zero. [10 marks]
Figure 1 (c) A DS-CDMA system has an available bandwidth of B = 1.25MHz. Individual users transmit at a data rate of R = 16kb/s. The system can sustain a signal to interference ratio of S/I = -12dB, and the system stability factor η = 0.12. Calculate the Erlang capacity of the DS-CDMA system. You may find some of the information given in the Appendix below useful for the required calculations. [8 marks]
U 2
U 1 Input (^1 2 3) Output
Q2. (a) For the cellular system shown in Figure 2, 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 PTX , and a propagation path loss exponent of γ = 4. You may find some of the information given in the Appendix below useful for the required calculations.
[10 marks]
Figure 2 (b) Briefly explain why the simple worst case inference calculation method applied in part (a) is typically not used for determining the co-channel reuse distance and cluster size in real cellular systems. Briefly describe the technique that is used. [8 marks] (c) Explain a technique commonly used in cellular network planning to increase the traffic carrying capacity in areas of increased demand. [7 marks]
R D
Appendix: Some formulas you may find useful in answering questions 1 to 3
Shannon channel capacity theorem: (^)
C B log 1 P 2
DS-CDMA stability formula:
0
n BR b
− η ≤ +