Department of Electrical Engineering

**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

1. Exams, Short Papers or Term Project | 25% |

2. Homeworks and Labs | 15% |

3. Midterm Exam | 20% |

4. Final Exam | 40% |

_____________________________ | __________ |

Total | 100% |

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

- Basic Concepts of Probability & Random Variables
- Random experiments
- The axioms of probability
- Conditional probability
- Independence of events
- Bayes’ rule
- Sequential experiments
- Bernoulli trials
- Poisson distribution
- Communication engineering applications of probability, Binary Symmetric Channel (BSC) model

- Random Variables, Distributions & Density Functions
- Distribution and density functions
- Discrete-type random variables
- Continuous-type random variables
- Mixed-type random variables White Gaussian noise channel
- Histogram of data and density functions related to Gaussian noise
- Fading multipath channel
- Conditional distribution and density functions

- Random Variables & Statistical Averages
- Expected value
- Variance, moments and, Conditional expected values
- Markov and Chebyshew Inequalities in Communications
- Characteristic functions and Probability generating functions
- Performances & Comparisons Between the Modulation Techniques

- Functions of random variables
- One function of a random variable
- One function of two random variables
- Two functions of two random variables
- Joint distribution, marginal distribution, conditional distribution and independent random variables
- Correlation between random variables, joint moments and covariance
- Moment generating function and characteristic function

- Random Signals and Noise
- Discrete-time random processes
- Continuous-time random processes
- Statistical (ensemble) averages, stationarity, time averages and ergodicity
- Autocorrelation, covariance and power spectral density
- 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

- Performance of Communication Systems in the Presence of Noise
- Additive white noise and SNR
- Noise in Baseband communication systems
- Noise in AM systems: DSB, SSB, DSB-TC
- Noise in angle modulated systems, pulse modulated systems and optimum pre-emphasis-de-emphasis systems

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

Prentice-Hall Inc., 1988

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 | FinalMales: 8/6/2003, 13:30-15:30 |

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