ECTS - Digital Signal Processing

Digital Signal Processing (EE306) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Digital Signal Processing EE306 Area Elective 3 2 0 4 6
Pre-requisite Course(s)
EE303
Course Language English
Course Type Elective Courses
Course Level Bachelor’s Degree (First Cycle)
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture, Demonstration, Discussion, Question and Answer, Drill and Practice.
Course Coordinator
Course Lecturer(s)
  • Asst. Prof. Dr. Hakan Tora
Course Assistants
Course Objectives •Understand how analog signals are represented by their discrete-time samples, and in what ways digital filtering is equivalent to analog filtering. •Master the representation of discrete-time signals in the frequency domain, using the notions of z-transform, discrete-time Fourier transform and discrete Fourier transform (DFT). •Learn the basic forms of FIR and IIR filters, and how to design filters with desired frequency responses. •Understand the implementation of the DFT in terms of the FFT, as well as some of its applications (computation of convolution sums, spectral analysis)
Course Learning Outcomes The students who succeeded in this course;
  • Ability to understand sampling in both time and frequency and its effect on signals and their information content
  • Ability to understand how sampling rate conversion affects the spectrum of signals
  • Ability to take the Z-transform of a LTI system
  • Ability to understand the relationship between poles, zeros, and stability
  • Ability to understand frequency transformations and bilinear transformation for mapping analog prototype filter designs to digital filter designs
  • Ability to design digital FIR and IIR filters
  • Ability to use Matlab to analyze and design discrete-time systems
  • Ability to complete a term project
Course Content Signals and signal processing, discrete-time signals and systems, discrete-time Fourier transform (DTFT) and computation of the DFT, the z-Transform, sampling of continuous-time signals, transform analysis of linear time-invariant (LTI) systems, structures for discrete-time systems, digital filter design techniques, discrete Fourier transform, app

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Discrete-Time (DT) Signals and Systems •DT signals: Sequences •DT systems: Memoryless, Linear, Time-Invariant, Causal, and Stable Systems •Frequency-Domain Representation of DT Signals and Systems Glance this week’s topics from the lecture
2 DT Signals and Systems Review last week and glance this week’s topics from the lecture
3 The z-Transform •Properties of the Region of Convergence (ROC) for the z-transform •The Inverse z-transform •z-transform Properties Glance this week’s topics from the lecture
4 The z-Transform Review last week and glance this week’s topics from the lecture Glance this week’s topics from the lecture
5 Transform Analysis of Linear Time-Invariant (LTI) Systems •The Frequency Response of LTI Systems: Ideal frequency-selective filters, Phase Distortion and Delay •System Functions: Stability, Causality, Inverse Systems, Impulse Response for Rational System Functions •Relationship between Magnitude and Phase •All-Pass Systems •Minimum-Phase Systems •Linear Systems with Generalized Linear Phase Glance this week’s topics from the lecture
6 Transform Analysis of LTI Systems Review last week and glance this week’s topics from the lecture
7 Structures for Discrete-Time Systems •Block Diagram Representation of Linear Constant-Coefficient Difference Equations •Signal Flow Graph •Basic Structures for IIR Systems: Direct, Cascade, and Parallel Forms Glance this week’s topics from the lecture
8 Structures for Discrete-Time Systems •Basic Network Structures for FIR Systems Review last week and glance this week’s topics from the lecture
9 Filter Design Techniques •Prototype Analog Filters: Butterworth, Chebyshev, and Elliptic Filters •Design of DT IIR Filters from CT Filters: Impulse Invariance method, Bilinear Transformations Glance this week’s topics from the lecture
10 Filter Design Techniques •Design of FIR Filters by Windowing Review last week and glance this week’s topics from the lecture
11 The Discrete Fourier Transform (DFT) •Relationship between DFT and Discrete Cosine Transform (DCT) Glance this week’s topics from the lecture
12 The DFT Review last week and glance this week’s topics from the lecture
13 Applications to Speech and Image Processing Glance this week’s topics from the lecture
14 Applications to Speech and Image Processing Glance this week’s topics from the lecture
15 Final examination period Review topics
16 Final examination period Review topics

Sources

Course Book 1. Discrete-Time Signal Processing, Second Edition, Alan V. Oppenheim, Ronald W. Schafer and John R. Buck, Prentice Hall, 1999
Other Sources 2. Digital Signal Processing , A Computer Based Approach, Sanjit. K. Mitra, McGraw-Hill, 1998
3. Digital Signal Processing, Algorithms and Applications, John G. Proakis and Dimitris G.Manolakis,3rd Edition, 2000

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments - -
Presentation - -
Project 4 20
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 40
Final Exam/Final Jury 1 40
Toplam 7 100
Percentage of Semester Work 60
Percentage of Final Work 40
Total 100

Course Category

Core Courses X
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Possesses sufficient knowledge in mathematics, natural sciences, and discipline-specific topics in Electrical and Electronics Engineering; uses this theoretical and practical knowledge to solve complex engineering problems. X
2 Identifies, defines, formulates, and solves complex engineering problems; selects and applies appropriate analytical and modeling methods for this purpose. X
3 Designs complex systems, processes, devices, or products under realistic constraints and conditions to meet specific requirements; applies modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, depending on the nature of the design.) X
4 Selects and uses modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications; effectively uses information technologies. X
5 Designs experiments, conducts tests, collects data, analyzes, and interprets results to investigate complex engineering problems or discipline-specific research topics. X
6 Works effectively in disciplinary and interdisciplinary teams; develops the ability to work independently. X
7 Communicates effectively in both written and verbal forms; possesses proficiency in at least one foreign language; writes effective reports, understands written reports, prepares design and production reports, delivers effective presentations, and gives and receives clear instructions. X
8 Recognizes the need for lifelong learning; accesses information, follows developments in science and technology, and continuously renews oneself. X
9 Acts in accordance with ethical principles, assumes professional and ethical responsibility, and possesses knowledge about the standards used in engineering practices. X
10 Possesses knowledge about professional practices such as project management, risk management, and change management; gains awareness of entrepreneurship and innovation; understands the principles of sustainable development. X
11 Understands the universal and societal impacts of engineering practices on health, environment, and safety; recognizes the contemporary issues reflected in the field of engineering and understands the legal implications of engineering solutions. X

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 16 3 48
Laboratory 4 2 8
Application
Special Course Internship
Field Work
Study Hours Out of Class 16 5 80
Presentation/Seminar Prepration
Project
Report
Homework Assignments
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 4 8
Prepration of Final Exams/Final Jury 1 5 5
Total Workload 149