Simulate Cost Channel Matlab Function | ECE 732, Assignments of Electrical and Electronics Engineering

Material Type: Assignment; Professor: Paris; Class: Mobile Comm Systems; Subject: Electrical & Computer Enginrg; University: George Mason University; Term: Unknown 1989;

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ECE 732: Mobile Communication Systems
Prof. B.-P. Paris
Homework 3
Due: September 17, 2008
Suggested Reading: Review - Tse and Viswanath, chapter 2. Preview -
Tse and Viswanath, chapter 3.
Problems
1. Tse and Viswanath: Problem 2.15
2. MATLAB Experiment
(a) Retrieve the MATLAB function SimulateCOSTChannel.m and
analyze it.
(b) In MATLAB, generate a constant input signal of duration one
second (20,000 samples per second) and let it be input to the
the function SimulateCOSTChannel. Choose, the carrier fre-
quency equal to 1 GHz and vary the Doppler shift to simulate
vehicle speeds from 0 km/h to 100 km/h. Plot the absolute
value of the resulting signal for different vehicle speeds.
(c) In Matlab generate a BPSK modulated signal (see e.g. MATLAB function LinearModulation.m
and MATLAB function plot LinearModRect.mfor an exam-
ple how to do this).
Consider 20 bit periods and sample the signal 10 times per bit-
period. Let the BPSK signal be input to SimulateCOSTChannel
and plot the real part of the resulting signal. Vary the bit rate
between 50 Kbit/s and 1 Mbit/s.
(d) Summarize and analyze your findings. Do NOT include any
plots without clearly labeling the plot and accurately describ-
ing how it contributes to your conclusions. Do NOT include
MATLAB code unless it contributes to your observations.
3. Discuss the relevance of the parameters delay spread and maxi-
mum doppler spread. Explain how they capture the characteristics
of a multi-path fading channel and how they will affect transmis-
sion of message bearing signals. What properties do signals have
to possess so that they are essentially immune to the consequences
of
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ECE 732: Mobile Communication Systems Prof. B.-P. Paris Homework 3 Due: September 17, 2008

Suggested Reading: Review - Tse and Viswanath, chapter 2. Preview - Tse and Viswanath, chapter 3.

Problems

  1. Tse and Viswanath: Problem 2.
  2. MATLAB Experiment (a) Retrieve the MATLAB function SimulateCOSTChannel.m and analyze it. (b) In MATLAB, generate a constant input signal of duration one second (20,000 samples per second) and let it be input to the the function SimulateCOSTChannel. Choose, the carrier fre- quency equal to 1 GHz and vary the Doppler shift to simulate vehicle speeds from 0 km/h to 100 km/h. Plot the absolute value of the resulting signal for different vehicle speeds. (c) In Matlab generate a BPSK modulated signal (see e.g. MATLAB function LinearMo and MATLAB function plot LinearModRect.mfor an exam- ple how to do this). Consider 20 bit periods and sample the signal 10 times per bit- period. Let the BPSK signal be input to SimulateCOSTChannel and plot the real part of the resulting signal. Vary the bit rate between 50 Kbit/s and 1 Mbit/s. (d) Summarize and analyze your findings. Do NOT include any plots without clearly labeling the plot and accurately describ- ing how it contributes to your conclusions. Do NOT include MATLAB code unless it contributes to your observations.
  3. Discuss the relevance of the parameters delay spread and maxi- mum doppler spread. Explain how they capture the characteristics of a multi-path fading channel and how they will affect transmis- sion of message bearing signals. What properties do signals have to possess so that they are essentially immune to the consequences of

(a) fading (b) delay spread (c) fading and delay spread.

  1. A fictitious mobile FDMA system operates at a data rate of 100Kbit/s. Assume that the bandwidth occupied by the transmitted signals is 100KHz and that transmissions continue for an infinite time. A competing TDMA system divides each frequency band of 800KHz into 8 time-slots in which 500 bits are transmitted. Hence, the data rate in each frequency band is 800Kbit/s but 8 different users combine their signals by transmitting non-overlapping bursts of 500 bits each. For each of the two systems, discuss the provisions that must be made at the receiver to allow reliable transmission over multi- path fading channels. Try to assess their relative complexity and indicate which system approach you would choose.