Signals _ Systems by hcj

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(EE 315)

Signals & Systems
(3 credit hours)
Fall 2008

Schedule Instructor Saleem Ata

Website Contact saleemata@umt.edu.pk Phone extension 422

Office

Office Hours -Contact --

Teaching Assistant Office

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Office Hours

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Course Description Expected Outcomes Textbook

Overview of Signals and Systems. LTI systems. Fourier series and transforms, Laplace Transforms, Z-transforms etc.  Participants will be able to gain a basic understanding of CT & DT signals and systems.

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Signals & Systems –Alan V. Oppenheim, Alan S. Willsky, S. Hamid Nawab
Quizzes  5 quizzes.

Assignments

 5 assignments.

Midterms Project Attendance Policy Grading Policy

One in-class midterm

Final

90 to 120 minutes final examination

Students missing more than 20% of the lectures will receive an “F” grade in the course.

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Assignments: 10% Quizzes: 20% Midterms: 35% Final: 35%

W. No.

Topics

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Introduction to signals and systems, continuous-time and discrete-time signals, periodic signals, even and odd signals. Complex number review; Complex exponentials and sinusiods in continuous time and discrete time. Unit impulse and unit step functions - continuous time and discrete time. Examples of continuous-time, discrete-time systems, interconnections of systems, basic system properties system memory, causality, invertibility. Basic system properties - stability, time-invariance, linearity; superposition. Discrete-time LTI systems, unit impulse response, convolution sum Examples of discrete-time convolution, algebraic properties of discrete-time convolution. Continuous-time LTI systems, continuous-time convolution, relationships between system properties and impulse responses for LTI systems. Stability of LTI systems, unit step response, systems described by linear differential equations. Midterm Exam

1.1-1.2 1.3 1.4 1.5-1.6 1.6 2.1 2.1, 2.3 2.2-2.3 2.3

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Systems described by linear differential and difference equations, solution techniques, block diagram 2.4 representations The unit doublet and other generalized functions, definition via convolution. Introduction to Fourier Series, 2.5, 3.1-3.2 eigenfunction property of complex exponentials Continuous time Fourier Series, exponential and 3.2-3.3 trigonometric forms, Fourier analysis equations. Fourier series examples, convergence of Fourier series Dirichlet conditions, Gibbs phenomenon, Properties of 3.4-3.5 Fourier series Fourier Series and frequence response of systems, More 3.5,3.6,3.8. properties of Fourier series, Discrete-time Fourier Series Discrete-time Fourier Series - examples and properties, Parseval's relation. 3.6-3.7

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Continuous-time Fourier Transforms -definition, examples 4.0-4.1 C. T. Fourier transforms - time/frequency duality, scaling 4.2-4.3 in time/frequency, Fourier transforms of periodic signals. Properties of C.T. Fourier Transforms - linearity, differentiation, time-shifting. 4.3

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C. T. Fourier Transforms -symmetry properties, 4.3-4.4 convolution property C. T. Fourier Transforms - multiplication property, amplitude modulation/demodulation. Fourier transforms 4.5-4.7 and systems characterized by linear differential equations. Discrete-time Fourier transform - definition, relation to 5.0-5.1 Fourier Series D. T. Fourier transform - examples, properties. Final Exam 5.1,5.3

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Reading Materials : Available through internet Material provided by instructor

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