**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. Sampling and Digital Signal/System Adavantages

Continuous and discrete time signals

Signal Manipulation

Basic Signal Properties

Discrete time convolution

Useful Signal Operations

Discrete time Signal Modeling

Discrete Time Systems

Discrete Time Systems Equations

The Unit Impulse Response

The Zero State Response

System Stability

MATLAB Applications

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

##### Chapter 3. **Discrete Time System Analysis Using the Z - Transform**

The z_Transform

Properties of the z-Transform

z-Transform of Linear Difference Equations

System Realization

Frequency Response of Discrete Time Systems

The Bilateral z-Transform

MATLAB Applications

##### Chapter 4. Sampling: from Continuous to Discrete

The Sampling Theorem

Signal Reconstruction

Numerical Computation of Fourier Transform: Discrete Fourier Transform

MATLAB Applications

##### Chapter 5. Fourier Analysis of Discrete Time Signals

Discrete Time Fourier Series (DTFS)

Aperiodic Signals Representation by Fourier Integral

LTI Discrete Time System Analysis by DTFT

DTFT Connection with CTFT

MATLAB Applications

##### Chapter 6. State Space Analysis of Discrete Time Systems

Solution in State Space

The z-Transform Solution

### Bibliography

Lathi, B. P.

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