COMPUTER ENGINEERING | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | 1410321008 | ||||||||
Ders İsmi: | Signals and Systems | ||||||||
Ders Yarıyılı: | Spring | ||||||||
Ders Kredileri: |
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Language of instruction: | TR | ||||||||
Ders Koşulu: | |||||||||
Ders İş Deneyimini Gerektiriyor mu?: | No | ||||||||
Type of course: | Necessary | ||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Dr.Öğr.Üyesi Recep DURANAY | ||||||||
Course Lecturer(s): |
Prof. Dr. Çağatay ULUIŞIK |
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Course Assistants: |
Course Objectives: | To teach general concepts in systems theory, to teach transformation techniques developed for the representation and analysis of continuous and discrete-time systems, and to emphasize their similarities and differences with each other. |
Course Content: | Basic concepts, definitions, linear time invariant systems, eigenfunction, convolution in continuous and discrete time, differential equations and difference equations, laplace transform and its applications, z-transform and discrete linear time invariant systems, Fourier series, Fourier transform, filtering, bandwidth , discrete Fourier transform. |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | Classification of Signals and Systems: Discrete-Time, Continuous-Time, Analog, Digital etc. Some typical signals: Impulse, Step, Ramp, Rectangular Pulse, Periodical, Exponential etc. | 1.Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. 2.Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. 3.Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
2) | System Properties: Causal, Memoryless, Linear, Time-Invariant, Finite Dimension, Continuous etc. | 1.Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. 2.Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. 3.Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
3) | Convolution Representation, Convolution of two Signals, Array Method, Properties of Convolution Operation, Impulse Response | 1.Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. 2.Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. 3.Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
4) | Difference Equation Representation of Discrete-Time Systems, Solutions of Difference Equations: Homogeneous, Particular, Complete Solutions. | 1.Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. 2.Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. 3.Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
5) | Implementation of Discrete-Time Systems, System Modelling with Simulation (Block) Diagrams, Direct Form I and Direct Form II Implementation | 1.Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. 2.Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. 3.Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
6) | Solution of Discrete-Time State Equations: State Transition Matrix and Impulse Response Stability: Bounded-Input Bounded-Output, in the sense of Lyapunov. | 1.Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. 2.Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. 3.Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
7) | Frequency-Domain Description of Continuous-Time Systems: Signal Representation by Orthogonal Signals, Exponential Fourier Series, Trigonometric Fourier Series of Real Signals, Effects of Symmetry | 1.Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. 2.Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. 3.Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
8) | Midterm exam | |
9) | Energy and Power Signals, Parseval’s Theorem, Gibbs Phenomenon. | 1.Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. 2.Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. 3.Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
10) | Fourier Dönüşümü, Fourier Dönüşümünün Özellikleri: Doğrusallık, Simetri, Ölçekleme Kaydırma | 1.Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. 2.Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. 3.Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
11) | Properties of the Fourier Transform: Modulation, Convolution, Differentiation, Integration, Time Reversal etc., Parseval’s Relations, Applications of Fourier Transform: Amplitude Modulation | 1.Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. 2.Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. 3.Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
12) | Frequency-Domain Description of Discrete-Time Systems: The z-Transform and its Properties, Region of Convergence, the Inverse z-Transform, Transfer Functions | 1.Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. 2.Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. 3.Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
13) | Discrete-Time Fourier Series, Discrete-Time Fourier Transform (DTFT), Properties of the Discrete-Time Fourier Transform | 1.Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. 2.Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. 3.Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
14) | Discrete Fourier Transform (DFT) and its Properties, the Inverse DFT, Fast Fourier Transform (FFT), Relation between Continuous-Time and Discrete-Time Transforms | 1.Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. 2.Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. 3.Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
15) | Final exam |
Course Notes / Textbooks: | Schaum’s Outlines Sinyaller ve Sistemler, Hwei Hsu, Mc. Graw Will, 2001. Fundamentals of Signals and Systems Using Matlab, E.W. Kamen, B.S. Heck, Prentice Hall, 2000. Signals and Systems, A.V. Oppenheim, A.S. Willsky, Prentice Hall, 2nd Edition, 1996. Continuous and Discrete-Time Signals and Systems, S.S. Soliman, M.D. Srinath, Prentice Hall, 2nd Edition, 1998. Signals and Systems, H.P. Hsu, Schaum’s Outlines, McGraw-Hill, 1995. |
References: |
Ders Öğrenme Kazanımları | 1 |
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Program Outcomes | ||||||||||||||||
1) PO 1.1) Sufficient knowledge in mathematics, science and computer engineering | ||||||||||||||||
2) PO 1.2) Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems. | ||||||||||||||||
3) PO 2.1) Identifying complex engineering problems | ||||||||||||||||
4) PO 2.2) Defining complex engineering problems | ||||||||||||||||
5) PO 2.3) Formulating complex engineering problems | ||||||||||||||||
6) PO 2.4) Ability to solve complex engineering problems | ||||||||||||||||
7) PO 2.5) Ability to choose and apply appropriate analysis and modeling methods | ||||||||||||||||
8) PO 3.1) Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions. | ||||||||||||||||
9) PO 3.2) Ability to apply modern design methods under realistic constraints and conditions for a complex system, process, device or product | ||||||||||||||||
10) PO 4.1) Developing modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications | ||||||||||||||||
11) PO 4.2) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications | ||||||||||||||||
12) PO 4.3) Ability to use information technologies effectively. | ||||||||||||||||
13) PO 5.1) Examination of complex engineering problems or discipline-specific research topics, designing experiments | ||||||||||||||||
14) PO 5.2) Examination of complex engineering problems or discipline-specific research topics, experimentation | ||||||||||||||||
15) PO 5.3 ) Analysis of complex engineering problems or discipline-specific research topics, data collection | ||||||||||||||||
16) PO 5.4) Analyzing the results of complex engineering problems or discipline-specific research topics | ||||||||||||||||
17) PO 5.5) Examining and interpreting complex engineering problems or discipline-specific research topics |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | PO 1.1) Sufficient knowledge in mathematics, science and computer engineering | |
2) | PO 1.2) Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems. | |
3) | PO 2.1) Identifying complex engineering problems | |
4) | PO 2.2) Defining complex engineering problems | |
5) | PO 2.3) Formulating complex engineering problems | |
6) | PO 2.4) Ability to solve complex engineering problems | |
7) | PO 2.5) Ability to choose and apply appropriate analysis and modeling methods | |
8) | PO 3.1) Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions. | 5 |
9) | PO 3.2) Ability to apply modern design methods under realistic constraints and conditions for a complex system, process, device or product | |
10) | PO 4.1) Developing modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications | |
11) | PO 4.2) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications | |
12) | PO 4.3) Ability to use information technologies effectively. | |
13) | PO 5.1) Examination of complex engineering problems or discipline-specific research topics, designing experiments | |
14) | PO 5.2) Examination of complex engineering problems or discipline-specific research topics, experimentation | |
15) | PO 5.3 ) Analysis of complex engineering problems or discipline-specific research topics, data collection | |
16) | PO 5.4) Analyzing the results of complex engineering problems or discipline-specific research topics | |
17) | PO 5.5) Examining and interpreting complex engineering problems or discipline-specific research topics |
Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama) | |
Homework |
Semester Requirements | Number of Activities | Level of Contribution |
Attendance | 10 | % 10 |
Homework Assignments | 5 | % 20 |
Midterms | 1 | % 30 |
Semester Final Exam | 1 | % 40 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 60 | |
PERCENTAGE OF FINAL WORK | % 40 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 14 | 3 | 42 |
Study Hours Out of Class | 35 | 3 | 105 |
Midterms | 1 | 2 | 2 |
Final | 1 | 3 | 3 |
Total Workload | 152 |