Islamic University of Gaza Electrical Engineering Department 1

ﺑﺴﻢ ﺍﻟﻠﻪ ﺍﻟﺮﺣﻤﻦ ﺍﻟﺮﺣﻴﻢ Islamic University of Gaza Electrical Engineering Department 1

Signal & Linear Systems (EELE 3310) By Basil Hamed, Ph. D. Control Systems Engineering www. iugaza. edu/homes/bhamed http: //site. iugaza. edu. ps/bhamed/ 2

Course Syllabus Islamic University of Gaza Faculty of Engineering Department of Electrical and Computer Engineering Signal & Linear Systems (EELE 3310) Pre-Requisite: Electric Circuits (EELE 2311, OR EELE 2312) Instructor Office e-mail Web. Site Phone Meeting : Basil Hamed, Ph. D. Control Systems Engineering : B 228 : bhamed@ iugaza. edu bahamed@hotmail. com : http: //site. iugaza. edu. ps/bhamed/ : 2860700 Ext. 2874 : (Sat Mon Wed) 9: 00 -10: 00 (L 512) 11: 00 -12: 00 (K 501) 3

Course Syllabus Course Description: Transform methods for solution of continuous- and discrete-time systems. Fourier and Laplace transform, Frequency response, Continuous- and discrete-time convolution. Linear systems analysis, Signal spectra: Fourier series; modulation schemes; sampling theorem; discretetime signals; and transform; elements of the Ztransform. Prerequisite: Electric Circuit II (EELE 2311, OR EELE 2312) Corequisite: Differential Equations 4

Course Syllabus Text Book: Linear Systems & Signals 2 nd Ed. B. P. Lahti, 2005 References: • Continuous and Discrete Signals and Systems by S. Soliman & M. Srinath • Signals & Systems: R. Ziemer, W. Tranter & D. Fannin • Signals, Systems, and Transforms: Leland Jackson • Fundamentals of Signals and Systems: E. Kamen & B. Heck. • Signals and Systems, Haykin, and Van Veen • Signals and Systems, Third Edition by Chi-Tsong Chen, 2004 • Computer Explorations in Signals and Systems, Buck, Daniel, and Singer. Teaching Assistant Eng. (Males) Eng. (Females) 5

Course Syllabus Course Aim: • To introduce class participants to the basic concepts of signal and systems analysis as a fundamental analysis and design tool in electrical and computer engineering. • To develop an understanding the fundamental concepts and applications of continuous and discrete time systems. Analyze the behavior of each type using appropriate methods. • To develop an understanding of the time-domain and frequencydomain viewpoint and role of transforms. • To develop skills in the mechanics of Fourier, Laplace and Ztransforms, and the use of DFT. • To give students knowledge and ability of determining the stability of a system for both continuous and digital systems. • To provide the students an opportunity to apply the knowledge of above material in a practical (project) experience 6

Course Syllabus Materials Covered: • Elementary Signals (Continuous & Digital) and their properties (Periodic vs. Aperiodic, Energy and Power signals), also other types of Signals are presented. • Continuous-Time Systems ( Linear and Nonlinear Systems, Time-varying and Time-Invariant Systems, Systems with and without Memory, Causal Systems, Invertibility and Inverse Systems, and stable Systems) • State-Variable Representation; State Equations, Time-Domain Solution of the State Equations, State Equations in First and Second Canonical Forms. • Fourier series: Definition, properties, alternate forms, and the application to circuit analysis. • Fourier transforms: Definition, properties, functional and operational transforms, inverse transforms, Perseval's theorem and their application to circuit analysis. • Laplace transforms: Definition, properties, functional and operational transforms, and inverse transforms. Circuit Analysis: Application of Laplace transforms to circuit analysis. • Z-transforms: Definition, properties, functional and operational transforms, and inverse transforms • Related topics: Transfer functions, impulse response, convolution, steady-state and transient analysis. 7

Course Syllabus Grading System: Homework Quizzes Mid term Exam (4/11/2012) 11: 00 -12: 30 Final Exam ( 24 /12/2012) 11: 30 -1: 30 15 % 5% 30 % 50 % Quizzes: Will be given in the discussion by the T. A Homework assignments are to be returned on time. No excuses will be accepted for any delay. Office Hours Open-door policy, by appointment or as posted. 8

Signals LTI System + H(z) G(z) 9

Type of Signals u[n] 1 – Discrete n -3 -2 -1 1 2 3 u(t) – Continuous 10

What is a System? • System: Black box that takes input signal(s) and converts to output signal(s). • Discrete-Time System: y[n] = H[x[n]] x[n] y[n] H • Continuous-Time System: x(t) y(t) = H(x(t)) H y(t) 11

Interconnection of Systems • Feedback Connection: y(t) = H 2( y(t) ) + H 1( x(t) ) x(t) + H 1 y(t) H 2 – e. g. cruise control • Possible to have combinations of connections. . 12

See You next Monday 13