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Signals and Systems

Signals and Systems. M. Rahmati Computer Engineering and Information Technology Department Amir Kabir University of Technology (Tehran Polytechnic) rahmati@aut.ac.ir. Spring 1391. Course organization. Textbook Signals and Systems Alan V. Oppenheim Alan S. Willsky S. Hamid Nawab

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Signals and Systems

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  1. Signals and Systems M. Rahmati Computer Engineering and Information Technology Department Amir Kabir University of Technology (Tehran Polytechnic) rahmati@aut.ac.ir Spring 1391

  2. Course organization • Textbook • Signals and Systems • Alan V. Oppenheim • Alan S. Willsky • S. HamidNawab • References • Fundamentals of Signals and Systems: Using Matlab • Edward W. Kamen and bonnie S. Heck • Prentice Hall • Signals and Systems : Continuous and Discrete • Ziemer, Trainer, Fannin • Macmillon

  3. Course organization • Grading • Homework (20%) • Computer Projects • Matlab, Java, C, C++ • DO NOT COPY other students’ codes • Add Comments to all of your source codes • Written Problems • Tests (70 %) • First Exam • Midterm (Closed book) • Final (Closed Book) • Computer Project

  4. Course organization • Policies • Attendance • Late Attendance • Missing Exams / HW • Neatness • INDIVIDUALLY of your works • NO CELL PHONE • Turn your mobile OFF

  5. Overall Outline • Introduction • 1. Signals • 2. Systems • 3. Continuous-time Fourier Transform • 4. Communication Systems • 5. Discrete-Time Fourier Transform • 6. Sampling • 7. Applications of Discrete-Time Signal Processing • 8. Fourier Series Representation • 9. Laplace Transform • 10. Feedback Systems • 11. Z-Transform

  6. What is“Signals & Systems”all about???

  7. SIGNALS • Signals are functions of independent variables that carry information. For example: • Electrical signals---voltages and currents in a circuit • Acoustic signals ---audio or speech signals (analog or digital) • Video signals ---intensity variations in an image (e.g. a CAT scan) • Biological signals ---sequence of bases in a gene • . • .

  8. Beyond “Signals & Systems” Control system Communication system Digital Signal Processing Analog Electronics FPGAs for DSP Signals & systems Computer Networks Computer Security Computer Paradigms (AI, Neural Net., Etc.

  9. Some Application Areas

  10. Five Common Signals & Systems Scenarios:

  11. Signal Classification :Type of Independent Variable • Time is often the independent variable. Example: the electrical activity of the heart recorded with chest electrodes –– the electrocardiogram (ECG or EKG).

  12. The variables can also be spatial

  13. Independent Variable Dimensionality

  14. Continuous-Time & Discrete-Time

  15. Our Studies

  16. THE INDEPENDENT VARIABLES

  17. CT Signals

  18. DT Signals Our Notation :

  19. Many human-made DT Signals Why DT? —Can be processed by modern digital computers and digital signal processors (DSPs).

  20. Mandrill Example

  21. Mandrill Example

  22. Image Processing in Digital Camera

  23. SYSTEMS • For the most part, our view of systems will be from an input-output perspective: • A system responds to applied input signals, and its response is described in terms of one or more output signals

  24. EXAMPLES OF SYSTEMS

  25. SYSTEM INTERCONNECTIOINS

  26. Real and Complex Signals

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