Download View - Philadelphia University Jordan

Page 1 of 4
Philadelphia University
Faculty of Engineering
Department of Communication & Electronics Engineering
Second Semester, 2011/2012
Course Syllabus
Course Title:
Probability & Random Variables
Course code: 650364
Course Level: 3rd year
Course prerequisite:
Signals and Systems - 6503320
Lecture Time:
Credit hours: 3
Academic Staff
Specifics
Name
Rank
Office
Number
Office Hours
E-mail Address
Course description:
Introduction, Set definitions and operations, Probability, The Random variable,
Statistics of Random Variables, Multiple Random Variables & Operations on Multiple
Random Variables, Random Processes, Spectral Characteristics of Random Processes,
Linear Systems with Random Inputs
Course objectives:
The purpose of this course is to introduce students to
1. The principles of probability theory.
2. Random variables and multiple random variables
3. Random signals and to provide tools whereby one can deal with systems involving such
signals.
Course components




Books (title , author (s), publisher, year of publication)
- "Probability, Random Variables, and Random Signal Principles", Peyton Z. Peebles, 4th
edition, McGraw-Hill, Inc, 2001.
- “Probability and Stochastic Processes for Engineers “ Carl W. Helstrom, 2nd edition,
Macmillan Pub. Co, 1991.
Support material (s) (vcs, acs, etc).
Study guide (s) (if applicable)
Homework and laboratory guide (s) if (applicable)
Text book
Page 2 of 4
Teaching methods:
Lectures & Course Project.
Learning outcomes:
Learning outcomes describe what student should know and be able to do if he
makes full use of the opportunities for learning that the department provides.
A) Knowledge and Understanding Skills:
A1) Mathematical tools relevant to communications and electronics systems.
A2) Fundamental technological concepts, principles, and techniques associated
with electronics and communications systems.
B) Intellectual Skills:
B1) Develop a strong grounding in the fundamentals and how to apply them.
B5) Analyze and identify the specifications and tools to design typical process
control
applications, applicable to data communications and its related
electronics systems.
C) Practical Skills:
C1) Use appropriate numerical and mathematical skills to describe, analyze and
solve a problem in electronics or/and communication system.
D) Transferable Skills:
D3) Manage tasks and solve problems.
D5) Think logically and critically.
Course Intended Learning Outcomes
A - Knowledge and Understanding
A1.
A2.
A3.
A4
A5
A6
A7
B3
B4
C3
C4
C5
C6
D4
D5
D6
B - Intellectual Skills
B1.
B2.
B5
C - Practical Skills
C1.
C2
D - Transferable Skills
D1.
D2.
D3.
Assessment instruments




Short reports and/ or presentations, and/ or Short research projects
Quizzes.
Home works
Final examination: 50 marks
Page 3 of 4
Allocation of Marks
Assessment Instruments
Mark
First examination
20%
Second examination
20%
Final examination:
40%
Reports, research projects, Quizzes, Assignments, Projects
20%
Total
100%
Documentation and academic honesty
 Documentation style (with illustrative examples)
 Protection by copyright
 Avoiding plagiarism.
Course academic calendar
week
(1)
(2)
(3)
(4)
(5)
(6)
First examination
(7)
(8)
(9)
(10)
(11)
Second examination
(12)
(13)
(14)
Basic and support material to be
covered
Introduction, Set definitions and
operations
and conditional Probability, Bayes’
Theorem, Independent events
The Random variable concept,
Discrete and continuous random
variables
Mixed random variables,
Probability density function
Probability Distribution functions
Homework /
reports and
their due
dates
HW#1
HW#2
Gaussian random variable
Expectation, Moments
Transformations of a random
variable
Vector random variables,, Joint
density and distribution functions
Statistical
independence, Central
limit theorem, multiple random
variables
Deterministic and nondeterministic
processes
Correlation functions
Power spectral density,
autocorrelation function, White and
colored noise
Autocorrelation function, White and
HW#3
HW#4
Page 4 of 4
colored noise
(15)
Specimen
examination
(Optional)
(16)
Final Examination
Linear Systems with Random Inputs
---
Expected workload:
On average students need to spend 2 hours of study and preparation for each 50-minute
lecture/tutorial.
Attendance policy:
Absence from class and/or tutorials shall not exceed 15%. Students who exceed the 15%
limit without a medical or emergency excuse acceptable to and approved by the Dean of the
relevant college/faculty shall not be allowed to take the final examination and shall receive
a mark of zero for the course. If the excuse is approved by the Dean, the student shall be
considered to have withdrawn from the course.
Course references
Books
- "Probability, Random Variables, and Random Signal Principles", Peyton Z. Peebles, 4th
edition, McGraw-Hill, Inc, 2001.
- “Probability and Stochastic Processes for Engineers “ Carl W. Helstrom, 2nd edition,
Macmillan Pub. Co, 1991.