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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.