Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
0MCTS418Signal Processing3+0+03517.11.2025

 
Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program Mechanical Engineering (English)
Type of Program Formal Education
Type of Course Unit Elective
Course Delivery Method Face To Face
Objectives of the Course Teaching the fundamental concepts (sampling and aliasing) of discrete-time system analysis to the students. Making the students able to analyze discrete-time LTI systems in both frequency and time domains via using digital signal processing methods.
Course Content Physical transforms of signals, sampling, the concept of periodicity of the sampled signal in frequency domain and aliasing. The sampling frequency and its specification conditions. The convolution sum, impulse response. The mathematical transforms of signals: The z-transform, the transfer function and its applications, continuous-time Fourier transform, discrete-time Fourier Transform, discrete Fourier series, discrete Fourier Transform, the relations between Fourier transforms, time and frequency domain circles. Mathematical transforms of the systems: Obtaining the difference equations from the differential equations. Various approximation methods (Euler's forward and backward approximations and their different interpretations (transforming method of the differential equations of analog filters (AF) to the difference equations of digital filters (DF) via using Euler's backward difference method).
Basics of FIR and IIR digital filters.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Asist Prof. Murathan ALPAY
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Schaum's Outline of Signals and Systems, Hwei P. Hsu, 3rd Ed., McGraw Hill LLC
S. Mitra, Digital Signal Processing, 3rd ed., McGraw-Hill, 2006.
J. G. Proakis and D. G. Manolakis, Digital Signal Processing, 4th ed., Prentice Hall, 2007.
Prof. Dr. Vedat TAVSANOGLU lecture slides

Course Category
Mathematics and Basic Sciences %80
Engineering %20

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Mid-terms 1 % 30
Quizzes 1 % 10
Final examination 1 % 60
Total
3
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 14 3 42
Hours for off-the-c.r.stud 14 3 42
Mid-terms 2 14 28
Final examination 1 28 28
Total Work Load   Number of ECTS Credits 5 140

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Learning and applying the sampling concept.
2 Understanding the aliasing concept
3 Transforming the continuous-time signals and systems to discrete-time signals and systems
4 Learning and applying the discrete-time Fourier transform, discrete Fourier transform and discrete Fourier series
5 Learning and applying Z and inverse Z-transforms
6 The ability to determine systems using linear difference equations

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Sampling Concept
2 Aliasing Concept-1
3 Aliasing Concept-2
4 Aliasing Concept-3
5 Fourier transforms and Fourier series-1
6 Fourier transforms and Fourier series-2
7 Fourier transforms and Fourier series-3
8 The discretization of the derivative operator: Euler's backward and forward approximations-1
9 The discretization of the derivative operator: Euler's backward and forward approximations-2
10 Relations between frequency transforms of linear time-invariant (LTI) systems
11 Z-transforms of discrete-time LTI systems
12 Inverse Z-transform 1
13 Inverse Z-transform 2
14 Filtering basics of discrete-time systems: FIR and IIR filters

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12
All
C1
C2
C3
C4
C5
C6

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