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Information
| Code | CENG562 |
| Name | Stochastic Processes for Computer Engineers |
| Term | 2024-2025 Academic Year |
| Term | Spring |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Yüksek Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ZEKERİYA TÜFEKCİ |
| Course Instructor |
1 |
Course Goal / Objective
The objective of this course is to provide the fundamentals and advanced concepts of probability theory and random process to support graduate coursework and research in computer engineering
Course Content
This course covers basics of probability, random variables and random processes.
Course Precondition
no prerequisites
Resources
Random Signals Detection Astimation and Data Analysis K. Sam Shanmugan A. M. Breipohl
Notes
Statistical Digital Signal Processing and Modeling M. H. Hayes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Defines and uses the concepts of probability, random variable and, random process. |
| LO02 | Explains basic concepts of a random process, calculate the mean, variance, and autocorrelation of a stationary random process. |
| LO03 | Applies the fundamentals of probability theory and stochastic processes to practical engineering problems. |
| LO04 | Able to find response of linear systems to random inputs. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | On the basis of the competencies gained at the undergraduate level, it has an advanced level of knowledge and understanding that provides the basis for original studies in the field of Computer Engineering. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | By reaching scientific knowledge in the field of engineering, he/she reaches the knowledge in depth and depth, evaluates, interprets and applies the information. | 4 |
| PLO03 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the new and developing practices of his / her profession and examining and learning when necessary. | |
| PLO04 | Yetkinlikler - Öğrenme Yetkinliği | Constructs engineering problems, develops methods to solve them and applies innovative methods in solutions. | 2 |
| PLO05 | Yetkinlikler - Öğrenme Yetkinliği | Designs and applies analytical, modeling and experimental based researches, analyzes and interprets complex situations encountered in this process. | |
| PLO06 | Yetkinlikler - Öğrenme Yetkinliği | Develops new and / or original ideas and methods, develops innovative solutions in system, part or process design. | 3 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Has the skills of learning. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Being aware of new and emerging applications of Computer Engineering examines and learns them if necessary. | |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Transmits the processes and results of their studies in written or oral form in the national and international environments outside or outside the field of Computer Engineering. | 3 |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Has comprehensive knowledge about current techniques and methods and their limitations in Computer Engineering. | |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Uses information and communication technologies at an advanced level interactively with computer software required by Computer Engineering. | 3 |
| PLO12 | Bilgi - Kuramsal, Olgusal | Observes social, scientific and ethical values in all professional activities. | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Probability and Random Variables | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 2 | Random Vectors | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 3 | Bounds and Approximations | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 4 | Sequences of Random Variables and Convergence | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 5 | Definition of Random Processes | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 6 | Special Classes of Random Processes | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 7 | Stationarity | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 8 | Mid-Term Exam | Reading lecture notes and related chapters in the textbook | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Continuity, Differentiation, and Integration | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 10 | Time Averaging and Ergodicity | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 11 | Response of Linear Systems to Random Inputs | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 12 | Discrete Linear Models | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 13 | Markov Sequences and Processes | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 14 | Point Processes | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 15 | Gaussian Processes | Reading related chapter in the textbook | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 16 | Term Exams | Reading lecture notes and related chapters in the textbook | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Reading lecture notes and related chapters in the textbook | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||