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| BIL3006 | Signals and Systems | 3+0+0 | ECTS:6 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of COMPUTER ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Prof. Dr. Bekir DİZDAROĞLU | | Co-Lecturer | PROF. DR. Ali GANGAL, | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | This course aims to provide Computers Engineering students with the basic mathematical concepts that useful for data communications, circuit design, control, image and speech processing. MATLAB based examples included in response to software developments, the wider availability of information technology, developments in the teaching of signal processing. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Understand basic signal properties | 1,3 | 1 | | LO - 2 : | Analyse linear tima invariant (LTI) systems in time domain | 1,3 | 1 | | LO - 3 : | Analyse LTI systems in frequency domain | 1,3 | 1 | | LO - 4 : | Understand the Laplace transform and analyse LTI systems in s domain | 1,3 | 1 | | LO - 5 : | Understand the z transform and analyse LTI systems in z domain | 1,3 | 1 | | LO - 6 : | Analyse LTI systems with random inputs | 1,3 | 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 | Frequency Domain Models of LTI Sytems | | | Week 7 | Frequency Domain Models of LTI Sytems | | | Week 8 | Frequency Domain Models of LTI Sytems | | | Week 9 | Mid-term exam | | | Week 10 | The Laplace Transform and s-Domain Models of LTI Systems | | | Week 11 | The Laplace Transform and s-Domain Models of LTI Systems | | | Week 12 | The Laplace Transform and s-Domain Models of LTI Systems | | | Week 13 | The z-Transform and z-Domain Models of LTI Systems | | | Week 14 | The z-Transform and z-Domain Models of LTI Systems | | | Week 15 | LTI Systems With Random Inputs | | | Week 16 | End-of-term exam | | | |
| 1 | Oppenheim, A. V. ve A. S. Willsky, "Signals and Systems ", Prentice Hall Int., Inc. | | | |
| 1 | Hsu, H. ve 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 | 16/11/2016 | 2 | 50 | | End-of-term exam | 16 | 06/01/2017 | 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 | 4 | 14 | 56 | | Arasınav için hazırlık | 10 | 1 | 10 | | Arasınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 15 | 1 | 15 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 127 |
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