# COURSE UNIT TITLE

: PROBABILITY AND RANDOM SIGNAL PRINCIPLES

#### Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
EED 3005 PROBABILITY AND RANDOM SIGNAL PRINCIPLES COMPULSORY 4 0 0 5

#### Offered By

Electrical and Electronics Engineering

#### Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

#### Course Coordinator

ASSOCIATE PROFESSOR DAMLA GÜRKAN KUNTALP

#### Offered to

Electrical and Electronics Engineering

#### Course Objective

Purpose of the course is to introduce the fundamental concepts of random variables and random processes.

#### Learning Outcomes of the Course Unit

 1 . To be able to model random experiments and their nondeterministic outcomes 2 To be able to apply the probability laws such as total probability, independence, conditional probability, unconditional probability, Bayes Theorem, Central Limit Theorem to engineering problems concerning random experiments 3 To be able to identify, model and analyze nondeterministic sources in enginnering problems 4 To be able to use models of known discrete and continuous random variables to define nondeterministic events in engineering problems 5 To be able to define and use tools such as probability mass function, probability density function, and probability distribution function in solving probabilistic problems in engineering 6 To be able to identify, model and analyze random signals in engineering problems 7 To be able to represent random signals in frequency domain using power spectral density concept 8 To be able find the responses of linear time-invariant systems to random input signals 9 To be able to model and classify random processes according to their properties

Face -to- Face

None

None

#### Course Contents

 Week Subject Description 1 Definition of random experiments, modeling of random experiments and different definitions of probability 2 Axiomatic Probability Theory, joint , conditional, unconditional probability definition, independence, Bayes theorem 3 Binomial Law, Poisson Law 4 Concept of random variables, types of random variables, Discrete random variables, probability mass, probability distribution, and probability density function, families of discrete random variables 5 Continuous random variables, probability distribution, and probability density function, families of continuous random variables 6 Expected value,moments of random variables, functions of random variables 7 Multiple random variables, joint densit, distribution, and moments 8 Functions of multiple random variables, Central Limit Theorem 9 Midterm 10 Concept of random process: definition and classification 11 Spectral representation random processes 12 Response of linear time-invariant system to a random input signal 13 Some important and frequently encountered random processes 14 Some important and frequently encountered random processes

#### Recomended or Required Reading

Ana kaynak: Proabability & Stochastic processes, 2nd ed. by R.D. Yates, D.J.Goodman, Wiley
Yardımcı kaynaklar: Probabaility, Statistics and Random Processes for Electrical Enginneering, 3rd ed. by A.L. Garcia, Pearson
Referanslar:
Diğer ders materyalleri: Probabaility and Statistics in Engineering, 4th ed., by W.W.Hines,
D. Montgomery, D.M. Goldsman,C.M. Borror, Wiley

#### Planned Learning Activities and Teaching Methods

Lectures will be supported by regularly assigned homeworks and resitation hours in class. There will be unannounced quizes in some of the lectures.

#### Assessment Methods

 SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE1 MIDTERM EXAM 1 2 MTE2 MIDTERM EXAM 2 3 FIN FINAL EXAM 4 FCG FINAL COURSE GRADE MTE1 * 0.25 + MTE2 * 0.25 + FIN * 0.50 5 RST RESIT 6 FCG FINAL COURSE GRADE MTE 1 * 0.25 + MTE 2 * 0.25 + RST * 0.50

*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

None

#### Assessment Criteria

Learning outcomes will be tested and evaluated through properly assigned homeworks, quizes and exams.

English

To be announced.

#### Contact Details for the Lecturer(s)

damla.kuntalp@deu.edu.tr
Ofice Ph #: 232-3017166

#### Office Hours

To be announced at the beginning of the semester.

#### Work Placement(s)

None

 Activities Number Time (hours) Total Work Load (hours) Lectures 13 4 52 Preparations before/after weekly lectures 13 2 26 Preparation for midterm exam 1 12 12 Preparation for final exam 1 15 15 Preparing assignments 5 3 15 Final 1 3 3 Midterm 1 2 2 TOTAL WORKLOAD (hours) 125

#### Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.12
LO.2443
LO.344
LO.4442
LO.555
LO.6452
LO.744
LO.8442
LO.9442