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| ELKE311 | Signals and Systems | 3+0+0 | ECTS:4 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of ELECTRICAL and ELECTRONICS ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | -- | | Co-Lecturer | Doç. Dr. Ali GANGAL | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The objectives of this course are to provide students with a basic understanding of signals and systems properties, and ability of modeling-analysis of linear time invariant (LTI) systems using time and frequency domain approaches such as differential equations, unit impulse response, state-variable, Fourier series and Fourier transforms, transfer function, Laplace transform and z-transform. These topics of study will be the basis for later courses in communications, digital signal processing and control theory. Students will confirm their theoretical knowledge by computer simulations using MATLAB. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | understand basic signal properties | 1,3,5 | 1 | | LO - 2 : | analyse linear tima invariand (LTI) systems in time domain | 1,3,5 | 1 | | LO - 3 : | analyse LTI systems in frequency domain | 1,3,5 | 1 | | LO - 4 : | understand the Laplace transform and analyse LTI systems in s domain | 1,3,5 | 1 | | LO - 5 : | understand the z transform and analyse LTI systems in z domain | 1,3,5 | 1 | | LO - 6 : | analyse LTI systems with random inputs | 1,3,5 | 1 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Classification of Signals and Basic Signal Properties. Some MATLAB Examples. Time Domain Models of Linear Time Invariant (LTI) Systems: Continuous time systems. Basic system properties. Causal LTI systems described by differential equations. System block diagrams. The solutions of differential equations. The unit impulse response and convolution integral. State variable analysis of LTI systems. Discrete time systems. Difference equations. The unit sample response and discrete convolution. Frequency Domain Models of LTI Sytems: Fourier series representation of continuous-time and discrete- time periodic signals. The continuous-time and discrete-time Fourier transform. Discrete Fourier transform. Time and frequency characterization of signals and systems. Frequency-domain analysis of systems. The Laplace Transform and s-Domain Models of LTI Systems: Definition of the two-sided (bilateral) and one-sided (unilateral) Laplace transform. Inverse Laplace transform and contour integration. Impulse response and convolution. S-domain analysis of LTI differential systems. Pole-zero plot. Stability analysis. The z-Transform and z-Domain Models of LTI Systems. z-transform and inverse z-transform. Region of convergence of the z-transform. z-domain analysis of discrete LTI systems. LTI Systems With Random Inputs: Introduction to random process. Definition of Random variables, stochastic process, first and second order statistics, moment, correlation and co-variance, stationary process, ergodicity. System resonse.
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Classification of Signals and Basic Signal Properties. | | | Week 2 | Classification of Signals and Basic Signal Properties. | | | Week 3 | Time Domain Models of Linear Time Invariant (LTI) Systems | | | Week 4 | Time Domain Models of Linear Time Invariant (LTI) Systems | | | Week 5 | Time Domain Models of Linear Time Invariant (LTI) Systems | | | Week 6 | The Laplace Transform and s-Domain Models of LTI Systems | | | Week 7 | The Laplace Transform and s-Domain Models of LTI Systems | | | Week 8 | Frequency Domain Models of LTI Sytems | | | Week 9 | Midterm Exam | | | Week 10 | Frequency Domain Models of LTI Sytems | | | Week 11 | Frequency Domain Models of LTI Sytems | | | Week 12 | Analyzing some problems | | | Week 13 | The z-Transform and z-Domain Models of LTI Systems | | | Week 14 | The z-Transform and z-Domain Models of LTI Systems and analyzing some problems | | | Week 15 | LTI Systems With Random Inputs | | | Week 16 | End-of-term exam | | | |
| 1 | Signals and Systems Using Matlab, Lois F. Chaparro, Elsevier Academic Press | | | |
| 1 | Sinyaller ve Sistemler Dönşüm Yöntemleri ve Matlab ile Çözümleme 2. Basımdan Çeviri M.J. Roberts, Nobel Yayınevi | | | 2 | Oppenheim, A. V. and A. S. Willsky, "Signals and Systems ", Prentice Hall Int., Inc. | | | 3 | Basılmamış ders notları Doç. Dr. Ali GANGAL | | | 4 | Hsu, H. and H. P. Hse, "Schaum's Outline of Signals and Systems ", McGraw-Hill. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | | 2 | 50 | | End-of-term exam | 16 | | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 3 | 14 | 42 | | Arasınav için hazırlık | 5 | 1 | 5 | | Arasınav | 2 | 1 | 2 | | Ödev | 10 | 1 | 10 | | Dönem sonu sınavı için hazırlık | 8 | 1 | 8 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 111 |
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