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الرحيم الرحمن الله بسم

Islamic University of GazaElectrical Engineering

Department

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Signal & Linear Systems(EELE 3310)

ByBasil Hamed, Ph. D.

Control Systems Engineeringwww.iugaza.edu/homes/

bhamedhttp://site.iugaza.edu.ps/bhamed/

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Islamic University of GazaFaculty of Engineering

Department of Electrical and Computer Engineering

Signal & Linear Systems (EELE 3310)Pre-Requisite: Electric Circuits (EELE 2311, OR EELE

2312)

Instructor : Basil Hamed, Ph.D. Control Systems EngineeringOffice : B228e-mail : bhamed@ iugaza.edu

bahamed@hotmail.comWebSite : http://site.iugaza.edu.ps/bhamed/ Phone : 2860700 Ext. 2874Meeting : (Sat Mon Wed) 8:00-9:00 (K 516)

9:00-10:00 (L 512) 11:00-12:00 (K 416)

Course Syllabus

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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; discrete-time signals; and transform; elements of the Z-transform.

Prerequisite: Electric Circuit II (EELE 2311,OR EELE 2312)Corequisite: Differential Equations

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Course SyllabusText Book: Linear Systems & Signals 2nd 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)

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Course SyllabusCourse 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 frequency-domain viewpoint and role of transforms.

• To develop skills in the mechanics of Fourier, Laplace and Z-transforms, 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

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Course SyllabusMaterials 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.

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Course SyllabusGrading System:

Homework 15 %Quizzes 5 %Mid term Exam (15/11/2011) 11:00-12:30 30 %Final Exam ( 2 /1/2012) 2:00-4:00 50 %

Quizzes: Will be given in the discussion by the T.A

HomeworkHomework assignments are to be returned on time. No excuses will be accepted for any delay.

Office HoursOpen-door policy, by appointment or as posted.

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Signals

LTI System

H(z)

G(z)

+

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Type of Signals

– Discrete

u(t)

– Continuous

u[n]

-1-2n

1-3 32

1

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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]]

• Continuous-Time System: y(t) = H(x(t))

Hx[n] y[n]

Hx(t) y(t)

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Interconnection of Systems

• Feedback Connection: y(t) = H2( y(t) ) + H1( x(t) )

– e.g. cruise control• Possible to have combinations of connections..

H1x(t) y(t)

H2

+

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See You next Monday