EECE 340 Chapter 1, Fall 2011

American University of Beirut · Signals and Systems · 23 pages · Prof. Karim Kabalan

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EECE 340 Chapter 1, Fall 2011, page 1

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EECE 340 EECE 340 Signals and Systems Catalogue description Si l d t li ti i i t t i f � Signals and systems, linear time-invariant systems, review of Fourier series representation of periodic signals, Fourier transform and its applications, discrete-time Fourier transform, Ti d f h i i f i l d Time and frequency characterization of signals and systems, sampling, introduction to communication systems, review of the Laplace transform, the Z-Transform. . Required or Elective � Required for CCE and EE Prerequisites by Topic Calculus, Differential Equations, Matrices, Fourier Series, Fourier transform, and Laplace transform. Computer Simulation skills using Matlab, or similar packages. Textbook C.L. Phillips, J.M. Parr, and E.A. Riskin, Signals, Systems, and Transformers, Prentice g y Hall, 4rd Edition, 2008. Course objectives � T i t d t d t t th l fi ld f � To introduce students to the general field of communication engineering. � To develop in students mathematical, scientific, and p , , computational skills relevant to communication systems. � To teach students analysis techniques when � To teach students analysis techniques when formulating and solving communication problems. � To cultivate skills pertinent to the communication i i d i d h i engineering design and synthesis. � To foster effective interaction skills and teamwork communication. communication. Topics covered 1. Topics for Continuous-Time (CT) Signals and Systems. y � Introduction to Signals and Systems � Overview of CT signals and their properties � Overview of CT signals and their properties � Special functions: unit step and impulse functions � System Impulse response � Systems and their properties � Systems and their properties Topics covered � Convolution Integral for linear-time invariant systems R i f h L l T f � Review of the Laplace Transform � Transfer functions � Pole-Zero representations � Interconnected Systems � Signal Flow Graphs (construction, and reduction) � Stability Topics Covered � Review of the Fourier Transform � Frequency analysis of systems and Bode plots ( i d d h ) (magnitude and phase) � Analog Communications: (AM and FM) � Circuits as examples of dynamic systems � State-Space representations Topics covered 2 T i f di i (DT) i l d 2. Topics for discrete-time (DT) signals and Systems O i f DT i l d h i i � - Overview of DT signals and their properties � - DT Convolution � - Sampling Theorem � - Sampling of Sinusoids � - Discrete-Time Fourier Transform � - Aliasing � Aliasing Topics Covered � Z t f � - Z-transform � - Difference equations and their solution using Z- transform � - Causality and Stability � - System representations (Direct Form I and II) � - State-Space representation of DT systems � - Discrete-Fourier Transform (DFT) � Fast Fourier Transform (FFT) � - Fast-Fourier Transform (FFT) � - Effect of zero-insertion � - Introduction to filter design (FIR, � Introduction to filter design (FIR, Class/laboratory schedule � three 50-minute lectures per week Course outcomes � Students are knowledgeable in the field of continuous-time signals and systems. � Students are able to apply Laplace transform for the representation and analysis of continuous-time systems � Students have a basic understanding of � Students have a basic understanding of control stability problem. Course outcomes � Students are able to apply Fourier series and transforms for the analysis and representation of LTI continuous-time signals and systems � Students are able to apply Fourier analysis as a tool for understanding analog communication systems. � Students are able to represent LTI continuous- time system in state-space representations. time system in state space representations. Course outcomes S d d d h li � Students understand the sampling phenomena and are able to apply it under ll di i all conditions. � Students are knowledgeable in the field g of Discrete-time signals and systems. � Students are able to apply z-transform � Students are able to apply z transform transform for the representation and analysis of continuous-time systems analysis of continuous time systems. Course outcomes S d f ili i h h diff � Students are familiar with the different methods for representation of LTI Discrete- time systems time systems. � Students are able to apply Fourier series and transforms for the analysis and representation transforms for the analysis and representation of LTI Discrete-time systems � Students demonstrate knowledge of the � Students demonstrate knowledge of the Discrete-time Fourier analysis for periodic signals signals. Course outcomes St d t d t t k l d i � Students demonstrate knowledge in computing the DFT and the FFT for non- periodic signals. periodic signals. � Students are able to represent LTI discrete- time system in state-space representations. � Students will demonstrate an ability to interact and communicate effectively with d t peers and teams. � Students are introduced to filter design (FIR, IIR IIR Resources of the course � Textbook, � Class notes � previous exams � Moodle � Moodle Evaluation methods � Assignments (5 %) � Quiz I (25% ) ( ) � Quiz II (25 %) � Final Exam (40 %) � Final Exam (40 %) � Project (5 %) � Extra Project: up to 5 grades Attendance Policy R l A d i d i hi l � Regular Attendance is expected in this class. � A Student who, for any reason attends less than two- thirds of the lectures will be required to withdraw thirds of the lectures, will be required to withdraw from the course with a grade of W. � Final grade takes into consideration the number of g absences according to the following equation If n is the number of absences, then Final Grade = Old Grade – 0.75(n-4) Computer usage � Matlab Instructor � Karim Kabalan Bechtel, ECE Department p Ext: 3528 Email: kabalan@aub edu lb Email: kabalan@aub.edu.lb Office Hours � By appointment