UAE University
Department of Electrical Engineering

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Course Name & Number:
Communications System (ELEC442)
Instructor:
Dr. Eesa Mohammed Abdulrazzaq Bastaki
Office:
EE Dept/ Jimi Campus, Tel- 7051582,
Email- eesa@uaeu.ac.ae,
Homepage:http://faculty.uaeu.ac.ae/~eesa/
http://www.bastaki.net/
Textbook:
Alberto L. Garcia, "Probability and Random Processes for Electrical Engineering,"
2nd Edition, Addison-Wesley, 1999
Simon Haykin, "An Introduction to Analog and Digital Communications,"
John Wiley, 1989

Grading:
1. Exams, Short Papers or Term Project25%
2. Homeworks and Labs15%
3. Midterm Exam20%
4. Final Exam40%
_______________________________________
Total100%

Objective:
  1. To develop statistical techniques and skills needed to evaluate the performance of simple analog and digital communication systems in the presence of noise
  2. To realize these skills through a simple communication systems design
  3. To simulate communications systems using available simulation packages, MATLAB, Systemview, Labview, etc..


Prerequisites: Communications Theory (ELEC441)

Course Outline:
  1. Basic Concepts of Probability & Random Variables
    1. Random experiments
    2. The axioms of probability
    3. Conditional probability
    4. Independence of events
    5. Bayes’ rule
    6. Sequential experiments
    7. Bernoulli trials
    8. Poisson distribution
    9. Communication engineering applications of probability, Binary Symmetric Channel (BSC) model
  2. Random Variables, Distributions & Density Functions
    1. Distribution and density functions
    2. Discrete-type random variables
    3. Continuous-type random variables
    4. Mixed-type random variables White Gaussian noise channel
    5. Histogram of data and density functions related to Gaussian noise
    6. Fading multipath channel
    7. Conditional distribution and density functions
  3. Random Variables & Statistical Averages
    1. Expected value
    2. Variance, moments and, Conditional expected values
    3. Markov and Chebyshew Inequalities in Communications
    4. Characteristic functions and Probability generating functions
    5. Performances & Comparisons Between the Modulation Techniques
  4. Functions of random variables
    1. One function of a random variable
    2. One function of two random variables
    3. Two functions of two random variables
    4. Joint distribution, marginal distribution, conditional distribution and independent random variables
    5. Correlation between random variables, joint moments and covariance
    6. Moment generating function and characteristic function
  5. Random Signals and Noise
    1. Discrete-time random processes
    2. Continuous-time random processes
    3. Statistical (ensemble) averages, stationarity, time averages and ergodicity
    4. Autocorrelation, covariance and power spectral density
    5. Transmission of random processes through linear systems: system response, mean and autocorrelation of the output, power spectral density of the output
    6. Special Classes of Random Processes: Gaussian random processes, white noise, band-limited white-noise, narrowband random process
  6. Performance of Communication Systems in the Presence of Noise
    1. Additive white noise and SNR
    2. Noise in Baseband communication systems
    3. Noise in AM systems: DSB, SSB, DSB-TC
    4. Noise in angle modulated systems, pulse modulated systems and optimum pre-emphasis-de-emphasis systems


References:
  1. Roden, Martin S., Analog & Digital Communication Systems, 3rd Ed., Prentice-Hall Inc.,1991
  2. Roden, Martin S. , Digital Communication Systems Design, Prentice-Hall Inc., Englewoods Cliff (1988).
  3. Haykin, Simon, Digital Communications, John Wiley & Sons, 1988
  4. Haykin, Simon, Communication Systems, 4th Ed., John Wiley & Sons, 2001
  5. Stark, H./Tuteur, F./Anderson, J., Modern Electrical Communications, 2nd Ed.,
    Prentice-Hall Inc., 1988

Communications Systems

Course Schedule

Week
No
Dates Coverage of
Course Contents
Problem Sessions,
Labs, Homeworks,
and Exams
1 Feb. 15 - 19 Random experiments
The axioms of probability
Conditional probability
Independence of events
Examples
2 Feb. 22 - 26 Bayes’ rule
Sequential experiments
Bernoulli trials
Poisson distribution
Binary Symmetric Channel (BSC) model
Problem Session
Homework #1
3 Mar. 1 - 5 Distribution and density functions
Discrete-type random variables
Problem Session
Homework #2
4 Mar. 8 - 12 Continuous-type random variables
Mixed-type random variables White Gaussian noise channel
Conditional distribution and density functions
Problem Session
Homework #3
5 Mar. 15 - 19 Expected value
Variance, moments and, Conditional expected values
Problem Session
Homework #4
6 Mar. 22 - 26 Characteristic functions and Probability generating functions
Performances & Comparisons Between the Modulation Techniques
Exam #1
7 Mar. 29 - Apr. 2 One function of a random variable
One function of two random variables
Two functions of two random variables
Problem Session
Homework #5
8 Apr. 5 - 9 Joint distribution, marginal distribution,
conditional distribution and independent random variables
Correlation between random variables,
joint moments and covariance
Moment generating function and characteristic function
Discussion
9 Apr. 12 - 16 Discrete-time random processes
Continuous-time random processes
Midterm Exam
10 Apr. 19 - 23 Statistical (ensemble) averages,
stationarity, time averages and ergodicity
Autocorrelation, covariance and power spectral density
LabVIEW Assignment
Homework #6
11 Apr. 26 - 30 Transmission of random processes
through linear systems: system response,
mean and autocorrelation of the output,
power spectral density of the output
Special Classes of Random Processes:
Gaussian random processes, white noise,
band-limited white-noise,
narrowband random process
Discussion
12 May 3 - 7 Additive white noise and SNR Exam #2
13 May 10 - 14 Noise in Baseband communication systems Problem Session
Homework #7
14 May 17 - 21 Noise in AM systems: DSB, SSB, DSB-TC Problem Session
Homework #8
15 May 24 - 28 Noise in angle modulated systems,
pulse modulated systems and
optimum pre-emphasis-de-emphasis systems
Project Presentations
16 May 31 - June 4 Review Review
17,18 June 7 - 19 Final Examinations Final
Males: 8/6/2003, 13:30-15:30

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