**What are you going to learn?**

**Content**

Classify continuous-time systems as linear or non-linear, time-invariant or time-varying, and stable or unstable, energy signals or power signals, and periodic or non- periodic, and find the period of a periodic signal. Signal shifting, scaling and reflecting, odd and even component of a signal. Solving OED functions in time domain. Obtain Fourier Series in trigonometric form, compact trigonometric form and exponential form. Conduct Fourier Transform, able to apply Fourier Transform property. Conduct Laplace Transform, Properties of Laplace transform, ROC. Plot frequency spectrum, phase and amplitude. Use MATLAB to perform simple signal processing tasks for continuous-time signals and systems.

##### Chapter 1. Introduction

Continuous and discrete time signals

Signal Manipulation

Basic Signal Properties

Discrete time convolution

Continuous time convolution

Relationship of generic system properties to the impulse response for an LTI system

Use of differential and difference equations as models for LTI systems

##### Chapter 2. Time-Domain Analysis of Continuous Time Systems

##### Chapter 3. **Continuous-Time Signal Analysis: Fourier Series**

Definition and derivation of the CTFT

Fourier transform representation of periodic signals using the CTFT

Properties of the CTFT

Convolution-multiplication duality and the CTFT

##### Chapter 4. Continuous Time Signal Analysis: Fourier Transform

Aperiodic Signal Representation by the courier Integral

Transform of some useful Functions

Properties of Fourier Transform

Signal Transmission through LTIC Systems

Applications to Communication Systems

Data Truncation: Window Functions

MATLAB Fourier Tranform

##### Chapter 5. Continuous Time Analysis: Laplace Transform

Definition and relationship of Laplace transform to CTFT

Region of convergence

Inverse Laplace transform via partial fraction expansion method

Geometry evaluation of the CTFT via the pole zero plot.

Properties of the Laplace transform

Relationship of causality and stability to structure in the Laplace s plane

##### Chapter 6. State Space Analysis

Definition of State Vector

Review of Matrix Algebra

Representation in State-Variable form

### Bibliography

Lathi, B. P.

. 2th ed.Oxford University Press, New York and Oxford, 2010.*Linear Systems*