This course focuses on the fundamentals for various signal processing (image and speech processing, radar signal processing, etc.) and various systems (communication, control and radar systems etc.), often encountered in electrical engineering. Students will learn basic relations between signals and systems, and useful mathematical tools to understand them. The topics include the basic definitions of signals and systems, LTI systems, Fourier transforms, sampling theory, Laplace transforms and z-transforms. All these topics will be discussed in the framework of both continuous and discrete-time basis simultaneously.

No pre-requisites but the followings are recommended:
Calculus, Linear Algebra, Differential Equations (or working knowledge on linear constant-coefficient differential equations)

- Midterm Exam (40%), Final Exam (40%), Homework(20%)

Signals & Systems, Alan V. Oppenheim and Alan S. Willsky, Prentice Hall, 1997
Signals and Systems, Second Edition, Simon Haykin and Barry Van Veen, Wiley,2003
Digital Signal Processing using MATLAB, Vinay K. Ingle, and John G. Proakis, PWS Publishing Company, 1997

· Introduction
· Time-domain representations of linear time-invariant systems
· Continous-time Fourier transform
· Continous-time Fourier series
· Sampling theory
· Discrete-time Fourier transform
· Discrete-time Fourier series (Discrete Fourier transform)
· Applications of discrete Fourier transform
· Laplace transform
· z-transform

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