# محمد عبدالرحمن عبدالله الالشيخ

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EE 301

Textbooks:

A. V. Oppenheim, A. S. Willsky, and S. H. Nawab,”Signals & Systems”, Prentice-Hall, 1997,

S. Haykin and B. V. Veen, “ Signals and Systems”, John Wiley & Sons, Inc., 1999.

G. E. Carlson, “ Signal and Linear System Analysis with MATLAB”, John Wiley & Sons, Inc., 1998.

R. E. Ziemer, W. H. Tranter, and D. R. Fannin, “ Signals & Systems: Continuous and Discrete”, Prentice-Hall, 1998.

Course Outline:

## Chapters

Signals and Systems

Ch 1

LTI systems

Ch. 2

Fourier Series for Periodic Signals

Ch. 3

The Continuous time Fourier Transform

Ch. 4

The Discrete  time Fourier Transform

Ch. 5

Laplase Transform

Ch. 9

15 % Home works

5 % Attendance

20 % Each Mid-Term examination
40 % Final examination

Midterms Exams

1st Midterm:   Monday     /   /

2nd Midterm:  Monday   /   /

EE 301 Signals  and  systems

#### Course Schedule, Academic Year 1429/1430

 الأسبوع الموضوعات 1 Definition of a signal.  Definition of a system.  Continuous-time signals and systems.  Discrete-time  signals and systems.  Analysis versus synthesis, and applications. 2 Continuous-Time (CT) and Discrete-Time (DT) Signals  Classifications of CT and DT signals        Deterministic signals.        Random signals.        Periodic signals.        Energy and power signals.        Even and odd signals. 3 Transformations of the independent variable of CT and DT signals.        Time shifting.        Reflection.        Time scaling. 4 Basic operations on CT and DT signals        Convolution              The convolution integral.              The convolution sum.              Properties of convolution                    The commutative property.                    The distributive property.                    The associative property. 5 Correlation              Cross-correlation function.              Autocorrelation function.              Properties of correlation functions.                           Relationship between convolution and correlation. 6 Fourier series (FS) representations of CT and DT periodic signals  Linear combinations of harmonically related complex exponentials.        Determination of the FS representation.        Convergence of the FS.  Fourier transform (FT) representations of CT and DT signals 7 Development of the FT representation.        Convergence of the FT.        The FT for periodic signals 8 Properties of the Fourier representations.        Linearity.        Conjugation and conjugate symmetry.        Time and frequency shifting.        Time and frequency scaling.        Differentiation and integration.        Differencing and summation.        Convolution.        Multiplication.        Parseval's relation.        Duality. 9 CT and DT Systems  Interconnections of systems.  Basic system properties        Systems with and without memory.        Causal and noncausal systems.        Stable and nonstable systems.        Linear and nonlinear systems.        Time invariant and time varying systems.        Invertibility and inverse systems. 10 Linear time-invariant (LTI) systems        The response of LTI systems to an arbitrary input.              The impulse response.              Development of the convolution sum.              Development of the convolution integral.              Relationship between step and impulse responses. 11 Properties of LTI Systems              LTI systems interconnected in cascade.              LTI systems interconnected in parallel.              LTI systems with and without memory.              Invertibility of LTI systems.              Causality for LTI systems.              Stability for LTI systems.        The response of LTI systems to a complex exponential 12 The frequency response.              System response to a periodic signal.              Filtering.  DT processing of CT signals.        The sampling theorem.        Basic system components.  Systems characterized by linear constant-coefficient and      difference equations 13 The Laplace Transform  The unilateral and bilateral Laplace transforms.  Region of convergence.  Inversion of Laplace transform.  Properties of Laplace transform        Linearity.        Time shifting.